{
  "audit_type": "Bounded source-rule audit; qualitative selection judgment is in the report and reviewer notes.",
  "criteria": {
    "ingredient": "A table, stated transformation or dependency supports an endpoint/context.",
    "comparison_permission": "A rule allows state-labelled comparisons while retaining distinct identities.",
    "prescriptive_selector": "A rule specifies which tradition, role, state, Gear/rail and annual positions to choose for this construction, independent of choosing matches after the census."
  },
  "excerpts": [
    {
      "id": "F18-01",
      "source": "File_18.md",
      "section": "§0 source role and modal-state rule",
      "start_line": 81,
      "end_line": 95,
      "text": "`File_18` contains the raw chronological data required to verify calculations and apply axioms defined in `File_00` through `File_17`. It is the repository's number source paired with the rule source supplied by the axiom and entity files.\n\nThree data systems are always required for any inquiry:\n\n| Data system | Legacy term | Function |\n|---|---|---|\n| Regular chronologies | Short chronologies | Historical / begetting-age timeline for MT, SP, and LXX. |\n| Cumulative chronologies | Long chronologies | Theological / schematic lifespan-added timeline. |\n| Sumerian Integration | Cosmic timeline | SKL / Sumerian 360:1 day-year scale. |\n\nDesign principle:\nTables present minimum baseline dates. All variants are derived by applying the documented mechanisms, especially `+60 Terah`, `+215 Sojourn`, or both.\n\nModal-state rule:\nA shared date-label, number, span, or tradition does not create identity unless state, node-class, tradition, and operator agree.",
      "excerpt_sha256": "9e4d790426bf86cd5287c902672016dc04c332d86c516f87a2a5250557141211"
    },
    {
      "id": "F18-02",
      "source": "File_18.md",
      "section": "§0.1d calculation rules",
      "start_line": 315,
      "end_line": 328,
      "text": "1. `File_18` is a table-source file. A table value should be read under its local state before it is used as proof in another file.\n2. Regular and Cumulative chronologies are different methods. Regular uses begetting ages; Cumulative stacks lifespans.\n3. A shared date-label does not create identity. This is especially important for `1876 BC`, `1406 BC`, `4831 BC`, `5291 BC`, and `3856 BC`.\n4. Creation endpoint states and Year-6 / Adam states remain distinct. Endpoint rows mark Day 7 / Year 7 completion; Year-6 / Adam rows are separate node-classes.\n5. The MT Minimum-Regular, MT Standard-Normal / `+215 Sojourn`, MT `+60 Terah`, and MT `+275` positions are simultaneous variant states, not corrections of one another.\n6. The Abraham → Levi / Joseph `±215` field gives two possible date states. Terah then opens the `+60 Terah` hinge, doubling the field to four states in the normal no-2nd-Cainan Adam-to-Terah field. If restored 2nd Cainan is explicitly inserted, 2nd Cainan through Terah remains four-position, while Arphaxad / Flood through Adam becomes eight-position.\n7. The `12–8–4–2–0` shorthand must be read as a structural funnel: generation-count blocks `12 → 8 → 4 → 2`, paired with possible-date states `8 → 4 → 2 → 0` when restored 2nd Cainan is explicitly opened. It is not a mere boundary list.\n8. The restored/native 2nd Cainan 27-generation completion state extends the Pentateuchal Funnel to Moses: `12 + 8 + 4 + 2 + 1 = 27 = 3 × 3 × 3`. This is a secondary generation-count / typological layer. Do not let it overshadow the primary `12–8–4–2–0` variant-count ladder or the operative 8-date / 4-date / 2-date / 0-date block logic. Do not use this theological / structural state to add dates to Kohath, Amram, Aaron, or Moses, and do not erase the ordinary fixed-anchor rule from Aaron / Moses onward.\n9. The fixed epoch from Aaron onward uses fixed anchors unless a dependency explicitly opens another state.\n10. SP Noah/Shem alone receive the adjacent `−1` companion rail. Flood start→close is an independent event-year span within ordinary three-Gear transport in MT, LXX, and SP. SP cap counts are inclusive to Flood start. With other variant settings held, Arphaxad onward remains fixed under Gear and the SP companion mechanism.\n11. The September 8 2026 ruling uses Lamech `182/753` in the main LXX Regular and Cumulative reconstructions. `571` is calculated only; `188` is non-operative transmitted data; LXX `777` and its dependent comparisons are appendix-only. See §4A and Appendix B.\n12. Regular restored 2nd Cainan uses `+130`; cumulative restored 2nd Cainan uses `+460`; LXX native Cainan requires no restoration.\n13. Cumulative `.5` labels belong to the Aaron / Tishri trunk and must not be silently rounded.\n14. Cumulative 7-year spans are envelopes. A stated upper, lower, or internal member must be preserved as a member-label. The MT cumulative Peleg row has a Nisan envelope `3501n–3494n BC` and a parallel Tishri envelope `3502t–3495t BC`; its Mirror relation to the Conquest / land-rest envelope must be evaluated component-wise.",
      "excerpt_sha256": "e13f54e6e343005cdc788c98583f39d2fb216a25359f38a63f34211df1953bb1"
    },
    {
      "id": "F18-03",
      "source": "File_18.md",
      "section": "§0A.4–5 comparison warrant",
      "start_line": 526,
      "end_line": 532,
      "text": "### 0A.4 Relationship to the multi-witness principle\n\nUnder the source's multi-witness framework, MT, LXX, SP, and SKL are expected to harmonize horizontally across traditions and vertically across scale states. This is preserved as structural inference and providential-synchronization language, not as a claim that every alignment proves direct scribal intent.\n\n### 0A.5 Predictive power\n\nThe source uses this principle to propose candidate values before verification. A candidate value becomes argumentatively useful only after the relevant table, state, operator, or dependency check supports it.",
      "excerpt_sha256": "6b1c736c12e1b2d433719f4db34ecd07a7747cfb441a8e6a31c9104ee656b6ee"
    },
    {
      "id": "F18-04",
      "source": "File_18.md",
      "section": "§1.1 shared variant fork",
      "start_line": 539,
      "end_line": 548,
      "text": "Regular chronology; four-position variant matrix.\n\nAll three manuscript traditions share this fork structure from Adam to Terah's death.\n\n| Position | Applied variants | Gap from previous | Example, MT Adam |\n|---|---|---:|---:|\n| Minimum | Neither | — | 3899 BC |\n| `+60` only | `+60 Terah` | +60 | 3959 BC |\n| `+215` only | `+215 Sojourn` | +155 | 4114 BC |\n| Maximum | Both `+60 Terah` and `+215 Sojourn` | +60 | 4174 BC |",
      "excerpt_sha256": "27bbb8d63b7a4c87c801ddbc602e83551482e4c12f0674d8a8d48cf10b2936e0"
    },
    {
      "id": "F18-05",
      "source": "File_18.md",
      "section": "§2.1.3–2.2.1 MT source stations",
      "start_line": 1237,
      "end_line": 1238,
      "text": "| Noah | 2843 | 1893 | 950 | 500 |\n| Flood | 2243 | 2242 | 1 | — |",
      "excerpt_sha256": "329b490c2f202706589e3a10bde62939972918b63c60b820f1b3c55a0de54b8f"
    },
    {
      "id": "F18-06",
      "source": "File_18.md",
      "section": "§3.1.4 regular Flood table",
      "start_line": 1542,
      "end_line": 1552,
      "text": "This table uses the full-430 comparison frame, Terah `+60` OFF, MT/SP second Cainan OFF, and LXX native second Cainan ON. The LXX G2 Creation head is `5494`, consistent with `5494−3238=2256`; Cainan-OFF `5364` must not be paired with native-ON Flood `3238`.\n\n| Tradition | G3 Flood start→close | G2 Flood start→close | G1 Flood start→close | Fixed Arphaxad |\n|---|---|---|---|---:|\n| MT | 2460→2459 | 2458→2457 | 2456→2455 | 2456 |\n| LXX — native Cainan ON | 3240→3239 | 3238→3237 | 3236→3235 | 3236 |\n| SP | 3110→3109 | 3108→3107 | 3106→3105 | 3106 |\n\nEvery row has the ladder `G3 start → G2 start → G1 start → G1 close = 2+2+1 = 5`. At this layer LXX is MT `+780`, including Arphaxad. Each Flood close arises from that Gear’s one-year event span, independently of SP Noah/Shem primary→companion. At held Sojourn, Terah, and Cainan settings, regular Arphaxad onward through Moses does not move with Gear; the separately scoped variant mechanisms retain their own permissions.\n\nSubtract `215` from this table for the corresponding minimum/native frames. The native SP starts G3/G2/G1 are `2895/2893/2891`, with closes `2894/2892/2890`; fixed Arphaxad is `2891`.",
      "excerpt_sha256": "67de221bfce5ccd6445e15f7843f0c325b1bdddd655f1c5f00e2aceb836f8106"
    },
    {
      "id": "F18-07",
      "source": "File_18.md",
      "section": "§3.2.1 SP person rails and qualified comparisons",
      "start_line": 1573,
      "end_line": 1594,
      "text": "Each slash-pair below is ordered primary / lower companion. The companion is one year farther forward in time. The rows display ordinary Gear combined with SP-local person-station adjacency; they are not six independently attested source states or a new unrestricted execution generator.\n\n| Gear | Noah birth | Noah death | Shem birth | Shem death |\n|---|---|---|---|---|\n| G1 | 3491/3490 | 2541/2540 | 2991/2990 | 2391/2390 |\n| G2 | 3493/3492 | 2543/2542 | 2993/2992 | 2393/2392 |\n| G3 | 3495/3494 | 2545/2544 | 2995/2994 | 2395/2394 |\n\nAdd `215` for the reports’ equalized dates. Noah’s primary death column carries the inclusive/harmonic qualification and the lower column the ordinary-companion qualification. Matched birth/death endpoints preserve Noah `950` and Shem `600`; matched Noah/Shem births preserve `500`. The mixed G2 companion-Noah / primary-Shem path is `3492−2993=499`, the ordinal 500th-year alternative.\n\nThe native G2 post-Flood spans are `2893−2543=350` and `2892−2542=350`. The second uses Flood close and Noah’s companion death; it does not type the Flood close as a companion. The cross-pair `2893−2542=351` is not an unqualified `350`.\n\nThe following bindings preserve the prior usable stations while making their Gears explicit:\n\n| Shem station / binding | Birth BC | Death BC | Qualified relation |\n|---|---:|---:|---|\n| G2 primary, Noah/Flood comparison | 2993 | 2393 | G2 primary Noah `3493−500=2993`; `2993−100=2893`, Flood start. |\n| G2 companion, Noah/Flood comparison | 2992 | 2392 | G2 companion Noah `3492−500=2992`; ordinal `2992−99=2893`, Flood start. |\n| G1 primary, Arphaxad-bound | 2991 | 2391 | `2991−100=2891`, fixed Arphaxad; also `3493−502=2991` from G2 primary Noah. |\n| G1 companion, Noah-bound comparison | 2990 | 2390 | `3492−502=2990` from G2 companion Noah; it does not replace the full-100 Arphaxad-bound row. |\n\nG2 primary Shem `2993` is `102` from fixed Arphaxad `2891`. These comparisons retain their endpoint roles and bindings. Noah/Shem alone have the full qualified cross-Gear endpoint-comparison permission in this domain; other patriarchs retain coherent-Gear biographies. Qualified Noah↔Flood comparisons are allowed, while the Flood remains an event start/close structure.",
      "excerpt_sha256": "f1e7e42c4f5dc331f55dbfc0a3d355c28cd5335409c81cb6afa71492006a7f1f"
    },
    {
      "id": "F18-08",
      "source": "File_18.md",
      "section": "§3.2.2 SP Terah qualification",
      "start_line": 1632,
      "end_line": 1637,
      "text": "| State | Lifespan | Target |\n|---|---:|---|\n| Textual / Normal | 145 years | Death at `1876 BC`. |\n| Architectural / Ideal | 205 years | Mirrors MT and enables the 1000-year harmonic from Arphaxad's birth to Abraham's birth, `100 + 1000 + 100`. |\n\nBoth values target Abraham's birth at `1951 BC` and Terah's death at `1876 BC`. The SP text officially contracts Terah's lifespan, `205 → 145`, to land his death on Abram's call at age `75`. Architecturally, however, the `205` state remains visible: the SP has not eliminated the Terah problem so much as shifted it from begetting-age tension to lifespan tension. Therefore the SP `+60 Terah` possibility remains state-valid where opened, while SP cumulative tables retain the official `145` span.",
      "excerpt_sha256": "d3d56af4bc0883a57ac2e47592f2cc5168704899baff3b96733cfa3a3679dcac"
    },
    {
      "id": "F18-09",
      "source": "File_18.md",
      "section": "§6D native LXX cumulative rows",
      "start_line": 2057,
      "end_line": 2064,
      "text": "Uses LXX lifespans, including Lamech's attested/transmitted `753`, retained as the author-preferred original LXX lifespan in agreement with Regular execution (§4A.1), and Nahor `208`. Includes 2nd Cainan. The former main-table overlay is preserved separately in Appendix B.2; all main-chain values remain unchanged.\n\n| Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start – end | Note |\n|---|---:|---:|---|---|\n| Adam | 930 | 14896 BC | 14901–14894 BC | — |\n| Lamech, chain | 753 | 8048 BC | 8053–8046 BC | Flood chief marker: the death of Methuselah |\n| Flood | — | 5745 BC | 5750–5743 BC | — |\n| Cainan | 460 | 5280 BC | 5285–5278 BC | Includes 2nd Cainan |",
      "excerpt_sha256": "a6ac670e66201f2897409d92e236ba07aba9c9b30cb2df7b1ed610475b4b0e51"
    },
    {
      "id": "F09-01",
      "source": "File_09.md",
      "section": "§0.1 working-state register",
      "start_line": 85,
      "end_line": 97,
      "text": "### 0.1 Working state register\n\nThe following states are active in `File_09`. They are simultaneous, non-competing states unless a local section explicitly narrows the working state.\n\n| State | Primary values / forms | Node-class / function | Handling in `File_09` |\n|---|---:|---|---|\n| File identity state | `File_09`; `CUMULATIVE_ARCHITECTURE.md`; CUMULATIVE TIMELINE | cumulative master-structure file | Preserved. Current source is the August 19 2026 Final; the prior Final source remains baseline history. |\n| Cumulative master-architecture state | whole file | compressed architecture register | The file gathers cumulative MT, SP cumulative, Conquest / New Eden, Arphaxad-Jacob-Levi, and Danielic Cainan material. Do not force all sections into one chronology. |\n| Cumulative MT tripartite state | Creation → Shem; Flood → Abraham; Abraham → Conquest | cumulative epoch structure | Source-retained. Endpoints remain dependency-controlled by `File_18`, §6A and `File_22`. |\n| Creation → Shem state | 175 Jubilees | cumulative Creation-to-Shem span | Source-retained chronology datum. Shem is a cumulative endpoint / boundary node in this section. Do not substitute a regular Shem birth or death state unless a dependency opens it. |\n| Flood → Abraham state | 2401 years | cumulative Flood-to-Abraham span | Source-retained chronology datum. Flood and Abraham node-classes remain dependency-controlled. |\n| Abraham → Conquest / Jacobean Completion state | 21 Jubilees; `1029`; `7 × 147` | Abrahamic promise-to-Conquest completion | Source-retained chronology datum plus structural inference. The `147` value invokes Jacob’s lifespan as Jubilee standard by dependency through `File_04` and `File_22`. |\n| SP cumulative square state | `12100 = 110 × 110` | SP cumulative square | Arithmetic fact inside SP cumulative state. This is SP cumulative, not SP regular chronology and not cumulative MT unless a dependency explicitly links them. |",
      "excerpt_sha256": "687e580b34399cf1d6e7043afa8c8c603f6c73ae9a720de5082e222c8210bcd6"
    },
    {
      "id": "F09-02",
      "source": "File_09.md",
      "section": "§0.4 cumulative week and operator distinctions",
      "start_line": 252,
      "end_line": 264,
      "text": "12. The SP cumulative square, `12100 = 110 × 110`, remains a separate SP cumulative state. Its endpoints must not be inferred from MT cumulative architecture.\n13. `5289 BC` is resolved as the terminal member of the restored cumulative 2nd Cainan Flood Week, `5296–5289 BC`, and as the source’s Flood / Arphaxad-side boundary label.\n14. `1859 BC` and `1782 BC` belong to the Jacob-Levi `+215` death-state field. Do not mix them with LXX `−33`, MT Minimum, or other Jacob / Levi comparison states.\n15. The Levi `+77` line preserves the source’s forward-time extension display. Arithmetic-control display may add the direction-aware BC check `1859 − 77 = 1782` without changing the source claim.\n16. Regular restored 2nd Cainan `+130` and cumulative restored 2nd Cainan `+460` are related Cainan states but not interchangeable operators.\n17. The Danielic “Mirror” label in §5 is a source-retained cycle label. It does not open Protocol 1, Protocol 2, civil cross-axis Mirror arithmetic, 10x Mirror scaling, or inverse-number reversal.\n18. The theological reading of `6000` years leading to the 7th Day of Rest is preserved as theological meaning. It does not carry the arithmetic burden.\n19. In the simplified Julian phase-coordinate model, `t` is the start of Oct 1, `n` is the start of Apr 1, and the Mirror hinge is the start of Jan 1. The pair `Yt/(Y−1)n BC` is January-centered; a same-year `Yn/Yt` pair is July-centered and is not the active Creation / Conquest paired Mirror state.\n20. In a self-mirrored `t/n` pair, the BC pair-center and AD pair-center bracket Jan 1, AD 1 exactly. In File_09's `5520` Conquest harmonic, the same phase-coordinate rule instead supplies equal component spans from the Creation endpoint pair to the New Eden / Conquest Mirror pair.\n\n21. The cumulative chronology treats the **seven-year week as the primary object**. The balanced/default whole-year anatomy is `2+3+2`; Gear-dependent admissible orderings also include `2+2+3` and File_63's distinct `3+2+2` Day-1/Day-4/Day-6/week-close cell. Superimposing the whole-year boundary possibilities gives the finer boundary refinement `2+1+1+1+2=7`. These are state-qualified decompositions of one seven-year object, not four simultaneous arithmetic operators. The Tishri/Nisan `.5` phase remains a separate calendrical layer.\n22. Whole-year Aaron-side nodes and exact `.5` Aaron-side phase nodes are simultaneous. The three-year branch must not erase `L = 3.5`, and `L = 3.5` must not erase the whole-year display.\n23. Adam's `+30` Apparent Age is localized to the declared Adam/Apparent states. It is not an unrestricted propagation operator through every cumulative row.",
      "excerpt_sha256": "1edd8c9169440b4347f82efb62e2935db1a32936c5a75cc50db09a185db191fe"
    },
    {
      "id": "F09-03",
      "source": "File_09.md",
      "section": "§0.5 cumulative/regular guard",
      "start_line": 279,
      "end_line": 283,
      "text": "### 0.5 Machine Guards for `File_09`\n\nMachine Guard [FILE_09 CUMULATIVE / REGULAR]:\n\nCumulative MT, SP cumulative, and regular chronology are distinct. Do not use a regular Creation, Flood, Abraham, Jacob, Levi, or Conquest state to replace a cumulative state unless the active section states the conversion and dependency.",
      "excerpt_sha256": "9f44ca91083992abe4660ab2ba2ac3f1d356f1aa8f50e8ea4efb337754365384"
    },
    {
      "id": "F09-04",
      "source": "File_09.md",
      "section": "§4.1 source-qualified structural comparison",
      "start_line": 1549,
      "end_line": 1580,
      "text": "#### Restored-Cainan Flood/Arphaxad to Jacob\n\nBy File_68 dependency, the full Jacob closing envelope is `1866–1859 BC`:\n\n```markdown\n5296 → 1866 = 3430\n5289 → 1859 = 3430.\n```\n\nThe inherited terminal equation remains:\n\n```markdown\n5289 − 1859 = 3430.\n```\n\n`1859 BC` remains Jacob death under the standard `+215` state. `1866 BC` is opened only as the dependency-controlled companion member and is not promoted to a new File_09 raw row.\n\n#### Base Flood/Arphaxad to Conquest/rest\n\n```markdown\n4836 → 1406 = 3430\n4829 → 1399 = 3430.\n```\n\nThe scalar factors are:\n\n```markdown\n3430 = 70 × 49 = 7 × 490.\n```\n\nStructural inference:\nThe `3430` span functions as a seventy-Jubilee / seven-week super-cycle. The restored-Cainan form lands on Jacob's closing envelope; the base form lands on the Conquest/rest envelope. Their shared scalar integrates the cumulative arc with the regular chronology without collapsing the endpoint states.",
      "excerpt_sha256": "83a693526e521180af0feae43a1c3fc243dc0fd88772496ae4a53ce50083e087"
    },
    {
      "id": "AX-01",
      "source": "AXIS_REPORT.md",
      "section": "§1.3 common translation/comparison formula",
      "start_line": 70,
      "end_line": 90,
      "text": "### 1.3 One translation rule governs the tables\n\nAdvancing the BC pair by W years gives:\n\n$$P_b+W=Q_{W-b}=\\text{AD }(W-b)t/(W-b+1)n,$$\n\nwhen the result is on the AD side. Both seasonal checks agree:\n\n$$[(b+1)+(W-b)-1]=[b+(W-b+1)-1]=W.$$\n\nIf the result stays BC, subtract W from the BC year labels normally. This occurs for cumulative Creation under +12696.\n\nA comparison of a translated landing with the ordinary reflected anchor Q_d has signed width:\n\n$$D_W(b,d)=W-b-d.$$\n\nFor the same event on both sides, this reduces to:\n\n$$D_W(b,b)=W-2b=2(r-b),\\qquad W=2r.$$\n\nMost apparently separate observations below are instances of these formulas. Unsuffixed table headings such as “to 1406” mean **to Q₁₄₀₆ on the AD side**, unless another phase state is explicitly declared. A literal BC-to-AD interval instead uses the corresponding civil cross-axis count.",
      "excerpt_sha256": "87bb5643c3a65cb3175f217ffa7891da5883c6fbd77e08bd293a2be12857a394"
    },
    {
      "id": "AX-02",
      "source": "AXIS_REPORT.md",
      "section": "§7.1–7.2 ordinary MT execution",
      "start_line": 380,
      "end_line": 420,
      "text": "## 7. The 8464 layer: regular MT Noah/Shem/Flood\n\n### 7.1 Normal Gear 2, Cainan OFF\n\nThe six selected boundaries are **3058/2578/2558/2458/2108/1958n BC** with their Tishri companions. The bridge is **8464=2×4232**. All three comparison columns refer to ordinary AD reflections of the primary Moses nodes.\n\n| Boundary | Source | Landing +8464 | Birth 1526 | Exodus 1446 | Conquest 1406 |\n| --- | --- | --- | --- | --- | --- |\n| Noah birth | 3059t/3058n BC | AD 5406t/5407n | 3880 | 3960 | 4000 |\n| 120 before Flood | 2579t/2578n BC | AD 5886t/5887n | 4360 | 4440 | 4480 |\n| Shem birth | 2559t/2558n BC | AD 5906t/5907n | 4380 | 4460 | 4500 |\n| Flood start | 2459t/2458n BC | AD 6006t/6007n | 4480 | 4560 | 4600 |\n| Noah death | 2109t/2108n BC | AD 6356t/6357n | 4830 | 4910 | 4950 |\n| Shem death | 1959t/1958n BC | AD 6506t/6507n | 4980 | 5060 | 5100 |\n\nThe removed age-40 column would be obtained by adding 40 to the birth-column spans, or subtracting 40 from the Exodus-column spans. Its removal changes presentation, not the fixed biography.\n\nThe highlighted multiples of 230 are distributed across the primary columns:\n\n$$4830=21\\times230,\\quad5060=22\\times230,\\quad4600=20\\times230.$$\n\nThe Flood-to-Conquest **4600** is especially relevant because **4232K=4600**. It is a raw comparison width in this table and an expanded width in the separate 4232 conversion. Both realizations are retained with their operations named.\n\nThe Shem-death-to-Conquest **5100** is:\n\n$$5100=2\\times2550=2(1260+1290).$$\n\nThe regular biography supplies **500+100+500=1100** from Noah birth through Shem birth and Flood to Shem death. Noah’s life itself is **950**, and Shem’s **600**; the translation preserves both.\n\n### 7.2 The Christ-anchor comparisons\n\nHere the held terminal is the ordinary paired reflection of **7t/6n BC**, namely **AD 6t/7n**.\n\n| Boundary | AD landing base | To reflected Christ AD 6t/7n |\n| --- | --- | --- |\n| Noah birth | 5406 | 5400 |\n| 120 before Flood | 5886 | 5880 |\n| Shem birth | 5906 | 5900 |\n| Flood start | 6006 | 6000 |\n| Noah death | 6356 | 6350 |\n| Shem death | 6506 | 6500 |",
      "excerpt_sha256": "98b038bd8fd4a9a519d97c551073353eae73e9064cac44c8f1f0206d8a04b5d8"
    },
    {
      "id": "AX-03",
      "source": "AXIS_REPORT.md",
      "section": "§7.3 local tradition offsets",
      "start_line": 464,
      "end_line": 470,
      "text": "The main Entry comparison is:\n\n$$2588\\text{ BC}+8464\\longrightarrow Q_{5876},\\qquad5876-1876=4000.$$\n\nNoah’s ON landing gives **5276−1876=3400**. Using the separately declared **1846** comparison gives **5276−1846=3430=70×7×7**. This is the precise form of the proposed +30 observation. It supports examining the 1846 member; it does not replace Entry 1876.\n\nThe source-state distinction remains: SP is **650** and native LXX ON **780** earlier than regular MT OFF at this selected Noah/Shem/Flood field. At fixed W, their landings inherit **−650/−780** movements. These are local regular offsets, not universal cumulative Creation offsets. The report does not open new SP companion or Gear states in the main calculation.",
      "excerpt_sha256": "68e969a949d92fec3312fc0bcd696aca44a1c42f1131f588c4b29f0b5ffc6017"
    },
    {
      "id": "AX-04",
      "source": "AXIS_REPORT.md",
      "section": "§9 fixed anchors/full cumulative envelope",
      "start_line": 509,
      "end_line": 513,
      "text": "## 9. The 12696 layer: full cumulative seven-year envelopes\n\nUse **W=12696=2×6348=24×529**. Retain each full seven-elapsed-year Nisan envelope and its Tishri companion. No compression to the interior three-year track is made. A phase-pair envelope spans seven years on matching seasons and 7.5 from its first Tishri boundary to its last Nisan boundary.\n\nThe principal columns use **Q₁₄₄₆** and **Q₁₄₀₆**. They are point-to-fixed-anchor ranges, not a pairing of every source member with a different year of the Conquest week. [S2, §§6A–6B]",
      "excerpt_sha256": "253008a1eadc7674bbbe22975a47c30f7850eeb4dac4defc0aafc06ef1deb67f"
    },
    {
      "id": "AX-05",
      "source": "AXIS_REPORT.md",
      "section": "§9.2 cumulative Cainan and MT rows",
      "start_line": 529,
      "end_line": 542,
      "text": "### 9.2 Cainan ON\n\nIn cumulative execution, Arphaxad and all earlier nodes move **460 years earlier**. Shelah and later nodes stay fixed; the new Cainan lifespan occupies **4858–4851→4398–4391 BC**.\n\n| Node | Full BC envelope | AD landing +12696 | To Exodus | To Conquest |\n| --- | --- | --- | --- | --- |\n| Methuselah / Enoch-ascension marker | 8593t/8592n → 8586t/8585n | 4104t/4105n → 4111t/4112n | 2658–2665 | 2698–2705 |\n| Lamech / Methuselah-death marker | 7624t/7623n → 7617t/7616n | 5073t/5074n → 5080t/5081n | 3627–3634 | 3667–3674 |\n| Noah | 6847t/6846n → 6840t/6839n | 5850t/5851n → 5857t/5858n | 4404–4411 | 4444–4451 |\n| Shem | 5897t/5896n → 5890t/5889n | 6800t/6801n → 6807t/6808n | 5354–5361 | 5394–5401 |\n| Flood / Arphaxad boundary | 5297t/5296n → 5290t/5289n | 7400t/7401n → 7407t/7408n | 5954–5961 | 5994–6001 |\n| Arphaxad | 5297t/5296n → 5290t/5289n | 7400t/7401n → 7407t/7408n | 5954–5961 | 5994–6001 |\n| Second Cainan | 4859t/4858n → 4852t/4851n | 7838t/7839n → 7845t/7846n | 6392–6399 | 6432–6439 |\n| Shelah / Cainan-death boundary | 4399t/4398n → 4392t/4391n | 8298t/8299n → 8305t/8306n | 6852–6859 | 6892–6899 |",
      "excerpt_sha256": "69deaf071652bcbc4eb06c7229a68dd31af9bed2791f43a623c92f1b18abf582"
    },
    {
      "id": "AX-06",
      "source": "AXIS_REPORT.md",
      "section": "§16 separately selected prior comparisons",
      "start_line": 894,
      "end_line": 906,
      "text": "## 16. The MT/SP/LXX and 115 background\n\nThe comprehensive prior Mirror study already connects the cumulative and regular chronologies through **115=5×23**, for which **115K=125**. One selected MT pair gives:\n\n$$2645=23\\times115\\xrightarrow{K}2875=25\\times115=23\\times125.$$\n\nThe two widths occur in separately selected source states: cumulative MT ON **5293→regular 2648**, and cumulative MT OFF **4833→regular 1958**. They must not be written as an unconverted equality. [S7, §4.2]\n\nThe local SP cumulative difference decomposes as **120=115+5**; a five-year selection inside the seven-year field exposes 115. Prior examples include **4831→4716=115**, **4716→3106=1610=14×115**, and **3106→2991=115**. The last two use an explicitly selected **SP Gear-1** setting, and the final one changes the sojourn frame. They belong to the earlier background study, not to the normal-Gear-2 execution of the present tables. [S7, §5]\n\nDean interprets the MT/SP/LXX cumulative-Flood intersections with Creation through **5+1+1+6**, with another +1 implied. This report preserves that proposed larger template and the exact component constructions supplied here. It does not claim that every segment of that entire cross-tradition sequence has now been assigned and independently audited as one continuous chain. That mapping is the strongest bounded continuation after this synthesis.\n\nThe earlier **3+7×529** handoff likewise remains source-qualified: **5296→3709→6 BC** uses MT cumulative ON, SP regular G3 companion Noah, and the Christ anchor. It is not silently imported into the main Gear-2 tables. Its total 5290 can support the retained trunk marker without changing its source identities. [S11]",
      "excerpt_sha256": "ddfcb48f18913614b4547f4d4a39084f2e4301daa108096c9807de7487fb65c5"
    },
    {
      "id": "AX-07",
      "source": "AXIS_REPORT.md",
      "section": "§18.2 dependency discipline",
      "start_line": 945,
      "end_line": 949,
      "text": "### 18.2 Dependency discipline\n\nBirth-pair complements, signed offset reversals, opposite Mirror order, and repeated row differences are consequences of their parent choices. The 1260±3.5 partitions follow from the two selected tracks and the full-week extension. The 22540 factorizations and 1380 exchange follow from their factor identities. Such equivalences clarify the structure but are not separate independent witnesses.\n\nGenerated coordinates receive event identities only where a source or an explicitly declared template supplies them. The Christ, covenant, Temple, and famine interpretations remain linked to their stated endpoints and phase choices. This allows the theological reading to be preserved without turning every numerical landing into an asserted historical date.",
      "excerpt_sha256": "95e1754d830ac2cf65410ed4414d308ebd665ece72bf7f76be201f0bd0ca4a89"
    }
  ],
  "whole_document_candidate_search": [
    {
      "source": "File_18.md",
      "total_lines": 2671,
      "candidate_lines": {
        "exact_construction": [
          {
            "line": 23,
            "text": "September 8 2026 Lamech correction: the former regular-`777` / cumulative-`753` split is superseded by `182/753` in both main reconstructions. Regular Lamech death changes from `3028` to `3052 BC` in the minimum frame; the birth chain and all cumulative chain values remain fixed. `188` remains non-operative but may be examined as a qualified Key-of-23 transmission hypothesis; LXX `777` examples move to Appendix B."
          },
          {
            "line": 121,
            "text": "| MT Standard-Normal / `+215 Sojourn` state | `4114 BC`; `2458 BC` by dependency | full-430 Egypt / normative MT state | Distinct from MT Minimum-Regular. `4114 BC` is not a correction of `3899 BC`; it is `3899 + 215`. |"
          },
          {
            "line": 156,
            "text": "| Flood Gear / event-year state | MT `2460/2458/2456`; native LXX `3240/3238/3236`; SP `3110/3108/3106`, full-430 frame | G3/G2/G1 starts; every close = start−1 | Ordinary three-Gear transport in all three traditions; each start→close is an event span. No Flood companion rail is generated by SP Noah/Shem. See §3.1.4. |"
          },
          {
            "line": 160,
            "text": "| LXX component-wise Lamech reconstruction | `182` restored begetting; `753` attested LXX lifespan; `571` calculated remainder; minimum `3805–3052 BC` | main Regular/Cumulative source selection | `753` is retained as the author-preferred original LXX lifespan; that judgment is distinct from its textual attestation. Only the combined `182/753` biography lacks identified joint attestation. `188` is non-operative; LXX `777` is an MT-derived Appendix B overlay. See §4A. |"
          },
          {
            "line": 177,
            "text": "| Sumerian B / SKL Long state | `2856 BC`; `27366 BC`; `459366 BC`; `24510`; `+6480` | alternate SKL Long whole-year state | Preserve as Sumerian B / SKL Long. |"
          },
          {
            "line": 388,
            "text": "| `Sumerian`, +6480 rail | Normalized to `Sumerian B / SKL Long` where the 24510-year state is active. |"
          },
          {
            "line": 451,
            "text": "File_18 §4A records exact arithmetic within declared chronological states and an author-favored Key-of-23 crossover hypothesis. Neither harmonic compatibility nor a generated `+6` endpoint proves a historical scribal sequence or a joint `182/753` manuscript. The continuous LXX `3336 → 3267 → 2738 BC` comparison is cross-Gear (`69 + 529 = 598`), not a replacement of Shem's `600`-year lifespan. The MT `3127 → 3058 BC = 69` and `3056 → 2458 BC = 598` are separately located intervals; their relationship must not be presented as one attested continuous MT three-node partition. Gain-transfer, anchored expansion, and whole-biography translation must be distinguished. `188`-based comparison outputs remain non-operative, and applying `188` to the otherwise unchanged birth chain does not preserve its `1656` total."
          },
          {
            "line": 1449,
            "text": "| Enosh | 3964 | 3059 | 905 | 90 |"
          },
          {
            "line": 1546,
            "text": "| MT | 2460→2459 | 2458→2457 | 2456→2455 | 2456 |"
          },
          {
            "line": 1601,
            "text": "| Arphaxad | 2891 | 2453 | 438 | 135 |"
          },
          {
            "line": 1705,
            "text": "| Lamech | 3805 | 3052 | 753 | 182 |"
          },
          {
            "line": 1710,
            "text": "The main LXX reconstruction pairs restored begetting `182` with attested LXX lifespan `753` in both Regular and Cumulative execution. The remainder `571` is calculated. The lack of an identified surviving joint `182/753` attestation concerns the combination, not `753` itself; §4A.1 explains its retention as the author-preferred original LXX lifespan. Methuselah still dies in the Flood year (`3023 BC`); Lamech dies `29` years before (`3052 BC`). See §4A for the source distinction and qualified Key-of-23 explanation, and Appendix B for the MT-derived LXX `777` overlay and retained external references. No other row in this birth chain changes."
          },
          {
            "line": 1762,
            "text": "| LXX Regular-Minimum | `3805 → 3052 BC`; begetting `182`; lifespan `753` | Noah remains `3623 BC`; Flood remains `3023 BC`. |"
          },
          {
            "line": 1767,
            "text": "3805 − 3052 = 4020 − 3267 = 753"
          },
          {
            "line": 1769,
            "text": "3052 − 3023 = 3267 − 3238 = 29"
          },
          {
            "line": 1797,
            "text": "3127 − 3058 = 69"
          },
          {
            "line": 1798,
            "text": "3056 − 2458 = 598"
          },
          {
            "line": 1803,
            "text": "Here `3127 → 3058` is Enoch's ascension/end-of-life to Noah's standard birth; `3056 → 2458` is the alternate Noah birth to the standard Flood. File_02 §6.2–6.3 controls the latter `598 → 600` configuration. These are two separately located MT intervals; the scalar decomposition of `598` must not invent an intervening MT event or be represented as the same continuous three-node sequence as the LXX display."
          },
          {
            "line": 1810,
            "text": "4114 − 2458 = 1656"
          },
          {
            "line": 1842,
            "text": "3896 − 1446 = 2450 = 5 × 490 = 50 × 49"
          },
          {
            "line": 1845,
            "text": "The exact `2450` belongs to the promoted Cainan-OFF comparison, not the unshifted `3890` member. `4026` and `3896` also occur as SOR labels elsewhere; those remain distinct node-classes controlled by File_20. These generated endpoints do not enter the main regular table or the Primary-anchor inventory."
          },
          {
            "line": 2094,
            "text": "The Primary Date column corresponds to Sumerian A / SKL Short where `17980` whole years are active. The Variant column corresponds to Sumerian B / SKL Long where the `+6480` relation and `24510` whole-year state are active."
          },
          {
            "line": 2107,
            "text": "An alternative text records “24510 years, 3 months and 3.5 days” instead of “17980 years” for the 23 post-Flood kings. The whole-year difference is `6530`. Under the File_21 / File_02 SKL Short / Long control, the exact shift relation is:"
          },
          {
            "line": 2110,
            "text": "24510 − 17980 = 6530"
          },
          {
            "line": 2116,
            "text": "This preserves the source-retained `24510` / `17980` whole-year totals while explaining why the active SKL Flood-anchor displacement is `6480` after the 50-year end-anchor gap is accounted for."
          },
          {
            "line": 2215,
            "text": "The SKL phrase “24510 years, 3 months and 3.5 days” functions, by source argument, as evidence that the two variants form one system, just as MT, SP, and LXX are complementary witnesses. The `+3 months` links the chronologies through gear-switching."
          },
          {
            "line": 2389,
            "text": "| §7 SKL primary anchors | `20886 − 2906 = 17980`; `27366 − 2856 = 24510`; `27366 − 20886 = 6480`; `452886 − 20886 = 432000`; `459366 − 27366 = 432000` | checks |"
          },
          {
            "line": 2477,
            "text": "MT independently retains `3240 → 2463 BC`, with Flood `2458 BC`, and its own five-year pre-Flood margin. The former claim that the **main** MT and LXX biographies both end five years before their Floods is superseded: the LXX part is now confined to this `777` comparison, while main LXX `753` ends `29` years before."
          },
          {
            "line": 2512,
            "text": "4020 − 3238 = 3238 − 2456 = 782 = 23 × 34"
          },
          {
            "line": 2513,
            "text": "4020 − 2456 = 1564 = 23 × 68"
          },
          {
            "line": 2514,
            "text": "2458 + 1680 = 4138"
          },
          {
            "line": 2518,
            "text": "`4020` is LXX Lamech's main birth, `3238` the LXX Flood, and `2456` MT Arphaxad's birth/two-years-after-the-standard-Flood state. The `874` construction shifts Creation and Lamech's birth together by `24`, preserving their separation. This co-shift and the `777 − 753` duration difference are two uses of the same increment, not one mechanically causing the other. The earlier `874 = 23 × 34` wording was a slip; `23 × 34` is `782`."
          }
        ],
        "candidate_rule": [
          {
            "line": 4,
            "text": "Pressure-test status: Prior full and focused certifications remain historical to their source editions. The September 8 Lamech and September 18 SP/Flood amendments receive focused arithmetic, source-diff, guard, protected-region, and dependency verification only; no new full pressure test is claimed."
          },
          {
            "line": 14,
            "text": "Traditions: MT; SP; LXX; BJ / Jubilees; SKL; Berossus by dependency"
          },
          {
            "line": 18,
            "text": "Major operators: `+60 Terah`; `+215 Sojourn`; `+275`; `60 + 155 + 60`; `±215`; File_11 absolute Three-Gear `+0/+2/+4`; Shem-centered local `−2/0/+2`; SKL dilation `−720/0/+720`; nested local-on-macro subrails; regular restored 2nd Cainan `+130`; cumulative restored 2nd Cainan `+460`; 137 checksum `7 + 130`; proportional unit `1656 ÷ 12 = 138`; missing-four extension `4 × 138 = 552`; completed extension `16 × 138 = 2208`; Cainan-to-Moses lock `3450 = 138 × 25`; Kenan / Cainan reinforcement `1370 = 10 × 137`; Cainan lifespan-sum `910 + 460 = 1370`; Cainan macro-vector `2300`; Cainan / Famine envelope projection `2520`; cross-tradition Shelah `60`-multiple comparison `2400` / `2940`; `60 × 42`; `60 × 40`; `60 × 49`; `60 × 59`; `60 × 99`; `60 × 101`; `60 × 108`; `6 × 490`; `3540`; `5940`; `6060`; `6480`; inclusive companion `2307`; Enochian lower-bound vector `2730 = 7.5 × 364`; Daniel 12 sandwich `1260 → 1290 → 1260`; 360:1 SKL scale; `+6480`; selected macro `+720` member; `+30 Apparent Mode`; selected local `+2` member; bounded adjacent-macro `690/720/750`; File_21 SKL rounded mod-10 Mirror display `BC + AD − 2`; File_21 SKL Short / Long relation `6530 − 50 = 6480`; File_34 SKL-to-Berossus `2370` corridor by dependency; File_34 `30 + 20 + 30` restoration corridor by dependency; paired slash-display arithmetic by dependency; phase-chain arithmetic by dependency; `25/23`; `70/69`; `300/299`; `430`; `480`; `+50` Jubilee Offset; same-side BC subtraction; civil cross-axis span `BC + AD − 1` if opened; Lamech non-operative transmitted-`188` comparison; hypothesis-level gain-transfer; appendix triad deltas `+6 / −30 / −24`; `454 − 24 = 430`; LXX Exodus lock `299 × 45` by File_56 dependency; Flood Gears `3240 / 3238 / 3236` (`+215` frame) by File_11 dependency; downstream full clutch `T14(C) = C − 14`, half-clutch midpoint `H7(C) = C − 7`, and fixed-offset Joseph translation by corrected File_61 / Final File_62 dependency only"
          },
          {
            "line": 19,
            "text": "Major modal states: raw data source state; minimum baseline table state; Regular chronology; Cumulative chronology; MT Minimum-Regular; MT Standard-Normal; Abraham two-state / Terah four-state variant field; 2nd Cainan variant-boundary state; 12–8–4–2–0 generational variant-count ladder; multi-tradition Pentateuchal Funnel all-even structural harmony; restored/native 2nd Cainan 27-generation completion state; tebah / ark typological bridge state; 137 boundary checksum state; Shem dual-100 state; 16 × 8 expectation / cumulative-Cainan extension state; Kenan / Cainan tenfold reinforcement state; Cainan macro-vector state; Cainan / Famine envelope-to-envelope state; cross-tradition 60-multiple Shelah / Plenty-Famine alignment state; Mirror 60-spine / Terah-Cainan death-rail state; regular-Cainan 460-year cross-modal symmetry state; Cainan triple-target matrix state; Cainan-to-Exile Daniel 12 sandwich state; Cainan-sector branch-restraint state; SP Normal / G2; SP-local Noah/Shem primary–companion field; cross-tradition Flood Gear / start–close field; SP Ideal / Exclusive comparison; LXX Regular-Minimum; LXX Terah / Abraham `2 × 2` variant field; regular-localized Shem `±2`; cumulative-propagated Shem `±2`; absolute Three-Gear state; selected local `+2` member state; SKL centered `±720` dilation; nested local-on-macro subrail state; regular restored 2nd Cainan; cumulative restored 2nd Cainan; literal/precise United Monarchy state; Rounded Scaffold United Monarchy state; shared-`966` state; Kings dual-ledger state; Sumerian A / SKL Short; Sumerian B / SKL Long; SKL `+30 Apparent Mode`; selected SKL local `+2` member; selected SKL macro `+720` member; full nested `±2 / ±720` Three-Gear control; File_21 SKL Unified Protocol dependency state; File_34 post-final dependency state; File_34 SKL-to-Berossus `2370` corridor dependency state; File_34 `30 + 20 + 30` restoration corridor dependency state; SKL rounded mod-10 Mirror display-state; Jachin / Boaz Temple-Time Pillar coordinate state; providential multi-tradition system state; LXX component-wise `182/753` main-chain state; non-operative transmitted-`188` comparison state; Key-of-23 crossover hypothesis; appendix-only LXX `777` overlay state; `430`-alignment justification state; Flood-marker convention set; Kohath / Amram silence state; corrected File_61 / Final File_62 downstream half-/full-clutch table-routing state; File_62 Joseph inherited-translation and fixed-Joshua `216` comparison state by dependency"
          },
          {
            "line": 21,
            "text": "Current refresh note: Prior monarchy, File_63, File_61/File_62, and File_09/File_69 table-source boundaries remain unchanged. The August 25 2026 bounded correction clarifies only the SKL rail ontology: the printed `+2` and `+720` rows are selected members of the complete centered `−2/0/+2` and `−720/0/+720` wheels, with optional local subteeth nested inside admitted macro members. The `+30 Apparent Mode` remains orthogonal, and no new raw date row or proof-bearing equation is introduced."
          },
          {
            "line": 23,
            "text": "September 8 2026 Lamech correction: the former regular-`777` / cumulative-`753` split is superseded by `182/753` in both main reconstructions. Regular Lamech death changes from `3028` to `3052 BC` in the minimum frame; the birth chain and all cumulative chain values remain fixed. `188` remains non-operative but may be examined as a qualified Key-of-23 transmission hypothesis; LXX `777` examples move to Appendix B."
          },
          {
            "line": 25,
            "text": "Current pressure-test note: The June 28 2026 File_18 pressure test verified current control alignment, table-source boundaries, Machine Guards, dependency routing, no-comma Markdown formatting, and visible arithmetic / table arithmetic. The pass changed only stale trust-status and dependency-status wording; no arithmetic, anchors, modal states, node-classes, operators, sign conventions, slash-pairs, ranges, envelopes, Mirror protocols, Machine Guards, claim-status labels, theological claims, or dependency boundaries were changed."
          },
          {
            "line": 48,
            "text": "| `File_14` | Biological-fractal terminology where variant-gap, `275`, `276`, `280`, and LXX Maximum states are opened by dependency. |"
          },
          {
            "line": 52,
            "text": "| `File_22` | Decimal Bridge and cumulative / Aaron-Moses dependency where exact cumulative tables are opened. |"
          },
          {
            "line": 74,
            "text": "Final File_09 derives the restored-Cainan/Apparent-Adam companion by applying the already controlled `+460` cumulative Cainan translation to the base Apparent-Adam row, equivalently by applying localized `+30` Apparent Age to the restored-Cainan Creation row. Final File_69 uses that companion only by dependency inside its cumulative-substrate synthesis. File_18 records the row as **derived companion data**, not as an independently transmitted chronology row."
          },
          {
            "line": 115,
            "text": "| Cumulative chronology state | lifespans added end-to-end | theological / schematic deep-time timeline | Use for §6 tables. Do not treat cumulative dates as ordinary historical birth dates unless a local dependency opens that node-class. |"
          },
          {
            "line": 121,
            "text": "| MT Standard-Normal / `+215 Sojourn` state | `4114 BC`; `2458 BC` by dependency | full-430 Egypt / normative MT state | Distinct from MT Minimum-Regular. `4114 BC` is not a correction of `3899 BC`; it is `3899 + 215`. |"
          },
          {
            "line": 135,
            "text": "| Cainan macro-vector state | `4858–4851 BC`; `4398–4391 BC`; `2300`; `2520`; `2730`; `2307`; `1260 → 1290 → 1260` | File_16 dependency / Funnel support state | `File_18` supplies the table-source values and state controls. `File_16` controls the Nexus argument, Category B classification, and Bullseye Protocol use. |"
          },
          {
            "line": 136,
            "text": "| Cainan / Famine envelope-to-envelope state | `4398–4391 BC → 1878–1871 BC`; selected core `4396 BC → 1876 BC` | cumulative-to-historical envelope projection | Uses `2520 = 7 × 360` as a macro-prophetic projection by `File_16` dependency. This does not change the MT `430` Egypt state or make the cumulative Cainan death itself a regular-history event. |"
          },
          {
            "line": 141,
            "text": "| Cainan-to-Exile Daniel 12 sandwich state | `4396 BC → 3136 BC → 1846 BC → 586 BC`; companion `1876 BC → 586 BC` | macro-prophetic witness by File_16 dependency | Classify as Category B / macro-prophetic witness. It does not turn `1846 BC` into Entry or `1876 BC` into Affliction start. |"
          },
          {
            "line": 142,
            "text": "| Cainan-sector branch-restraint state | `8970`; `9100`; `130 + 330`; `7800`; `2300`; `6900` by dependency | restraint / dependency-control state | Deeper Cainan-sector branches remain controlled by File_11, File_16, File_22, or later Cainan-sector files unless explicitly opened. |"
          },
          {
            "line": 144,
            "text": "| `1876 BC` shared year-label state | `1876 BC` | Entry / Call / return / convergence year-label by dependency | In `File_18`, `1876 BC` may mark Entry under MT `430`, Abraham Call / Death of Terah under Sojourn-division paths, or another dependency-controlled convergence label. Do not collapse node-classes. |"
          },
          {
            "line": 145,
            "text": "| Primary Exodus state | `1446 BC` | primary Exodus anchor | Governs the tables unless a subordinate Ramesside state is explicitly opened by dependency. |"
          },
          {
            "line": 151,
            "text": "| Fall of Jerusalem endpoint state | `586 BC` | Kings / exile endpoint | In `File_18`, `586 BC` remains the displayed endpoint unless another dependency opens adjacent `587/586 BC` date-states. |"
          },
          {
            "line": 160,
            "text": "| LXX component-wise Lamech reconstruction | `182` restored begetting; `753` attested LXX lifespan; `571` calculated remainder; minimum `3805–3052 BC` | main Regular/Cumulative source selection | `753` is retained as the author-preferred original LXX lifespan; that judgment is distinct from its textual attestation. Only the combined `182/753` biography lacks identified joint attestation. `188` is non-operative; LXX `777` is an MT-derived Appendix B overlay. See §4A. |"
          },
          {
            "line": 162,
            "text": "| LXX cumulative source-table state | `14896 BC`; `5745 BC`; Cainan `5280 BC`; Peleg `3856 BC`; Lamech `753`; Nahor `208` | cumulative LXX table state | Lamech shares the main `753` lifespan selection with Regular execution; cumulative values remain unchanged. The row-local `777` overlay is preserved only in Appendix B.2 and must not propagate. |"
          },
          {
            "line": 163,
            "text": "| Regular-localized Shem `±2` state | Noah / Shem binding and qualified cross-Gear comparisons | local regular anomaly | Distinct from coherent Gear transport of other admitted biographies and the Flood. Arphaxad remains fixed under Gear at held variant settings; see §3.1.4. |"
          },
          {
            "line": 178,
            "text": "| SKL appended month/day datum state | `3 months and 3.5 days` | SKL textual-datum / dependency-controlled calendar detail | Retained as source datum. Whole-year local arithmetic remains separate unless `File_34` / `File_12` opens granular execution. |"
          },
          {
            "line": 179,
            "text": "| SKL `+30 Apparent Mode` state | `+30`; examples `2936/2886 BC` by dependency; bounded adjacent-macro `690/720/750` comparison | orthogonal apparent-age rail | Apply after Gear selection. Do not collapse with local or macro Gear units. |"
          },
          {
            "line": 180,
            "text": "| SKL local centered `±2` Three-Gear state | absolute `+0/+2/+4`; relative `−2/0/+2`; examples `2908/2858 BC` as selected members | ordinary-year fine-tooth wheel | Printed `+2` rows expose one member only. The full field is active when §D.38 or a local section opens it. |"
          },
          {
            "line": 181,
            "text": "| SKL centered `±720` Three-Gear dilation | `−720/0/+720`; `720 = 2 × 360`; examples `262086/262806 BC` as center/selected member | cosmic years-of-years wheel | Exact `360:1` dilation of the local field. Distinct units; not a floating adjustment. |"
          },
          {
            "line": 183,
            "text": "| Precessional envelope / Berossus state | `6480`; `12960`; Berossus by `File_34` dependency | SKL / Berossus unification field | Preserved as dependency-controlled; §7 does not fully rederive it. |"
          },
          {
            "line": 184,
            "text": "| File_34 post-final dependency state | `2370`; `30 + 20 + 30`; `568/566 BC`; `538/536 BC`; `518/516 BC`; `488/486 BC` | post-final SKL / Berossus citation-control state | `File_18` may register these as File_34-controlled dependency labels. It does not rederive the corridor or change local SKL table rows. |"
          },
          {
            "line": 189,
            "text": "| Formal Mirror state | not active in main `File_18` table source | inactive protocol | Mirror / inverse material remains dependency-controlled unless explicitly opened by a later pass or file. |"
          },
          {
            "line": 208,
            "text": "| `1661 BC` | minimum Entry into Egypt | minimum / Sojourn-division state | `1876 BC` shared year-label; `1843 BC` LXX `33 + 397` by dependency |"
          },
          {
            "line": 210,
            "text": "| `1446 BC` | primary Exodus anchor | fixed epoch | subordinate `1231 BC` Ramesside state by dependency |"
          },
          {
            "line": 214,
            "text": "| `586 BC` | Fall of Jerusalem endpoint | Kings / Triple-`430` endpoint | adjacent `587/586 BC` states unless opened by dependency |"
          },
          {
            "line": 227,
            "text": "| `1885–1878 BC` | seven years of Plenty | Joseph / Plenty target window by File_16 dependency | Famine window `1878–1871 BC`; the shared `1878 BC` boundary must not collapse Plenty and Famine into one event |"
          },
          {
            "line": 230,
            "text": "| `4396 BC` | Cainan death-window member | cumulative restored 2nd Cainan / File_16 dependency | ordinary regular Cainan death rows unless the cumulative state is active |"
          },
          {
            "line": 231,
            "text": "| `4391 BC` | lower member of the extended Cainan / Shelah convergence envelope | cumulative restored 2nd Cainan; Daniel 8 / Enochian lower-bound comparison by dependency | regular death at `2091 BC`; minimum Entry `1661 BC`; do not collapse without active vector operator |"
          },
          {
            "line": 234,
            "text": "| `3921 BC`; `3011 BC`; `2551 BC` | 1Kenan birth, 1Kenan death, and restored 2nd Cainan birth by dependency | Kenan / Cainan tenfold reinforcement state | ordinary MT Minimum-Regular Kenan row unless Gear 3 / restored Cainan is active |"
          },
          {
            "line": 245,
            "text": "| `452886 BC` | SKL Short Pre-Creation | Sumerian A / SKL Short | SKL Long Pre-Creation `459366 BC`; +720 rail by dependency |"
          },
          {
            "line": 247,
            "text": "| `262086/262806 BC` | Adam / Alulim center and selected `+720` member | SKL centered `±720` Three-Gear dilation | complementary `261366 BC` macro member; nested local `±2` subteeth; regular Adam rows |"
          },
          {
            "line": 270,
            "text": "| Cainan / Famine `2520` projection | `4398/4396/4391 BC − 2520 = 1878/1876/1871 BC` | cumulative Cainan / Shelah envelope to Famine window by `File_16` dependency | Category B pattern-vector witness only; not an alteration of the MT `430` Egypt state. |"
          },
          {
            "line": 274,
            "text": "| Inclusive companion `2307` | `4858 − 2551 = 2307`; `4398 − 2091 = 2307` | sanctuary / Hanukkah-style inclusive companion where later dependency opens it | Retained as exploratory / audit companion. It is not promoted to a File_18 operator. |"
          },
          {
            "line": 275,
            "text": "| Enochian lower-bound `2730` vector | `4391 − 1661 = 2730`; `2730 = 7.5 × 364` | cumulative envelope to minimum Entry lower-bound where EnvSpread / Enochian state is active | Dependency-controlled by File_12 / File_17 / File_16. The solar companion remains audit-controlled. |"
          },
          {
            "line": 276,
            "text": "| Daniel 12 sandwich | `1260 → 1290 → 1260`; total `3810` | Cainan-to-Exile macro-prophetic witness by File_16 dependency | Same-side BC subtraction; Category B macro-prophetic witness, not a table-generation operator. |"
          },
          {
            "line": 277,
            "text": "| Kenan / Cainan tenfold relation | `1370 = 10 × 137`; `1370 − 460 = 910`; `910 + 460 = 1370` | Cainan-sector support note | Dependency-controlled by Gear 3 / restored-Cainan state. |"
          },
          {
            "line": 284,
            "text": "| `25/23`; `70/69`; `300/299` | exact-rational operators by dependency | Key-of-23, prophetic, Enochian contexts | Do not decimalize or invert without naming the active state. |"
          },
          {
            "line": 285,
            "text": "| Residue Protocol | physical / residual display only where opened | 299/300 residue audit line | Not ordinary Key-of-23 whole-year conversion. |"
          },
          {
            "line": 289,
            "text": "| Kings `+50` Jubilee Offset | `1016 − 966 = 50` by dependency | Kings dual-ledger state | Does not change historical `966 BC`. |"
          },
          {
            "line": 302,
            "text": "| `1878–1871 BC` by dependency | famine-window envelope | File_16 dependency | Not locally tabulated as a main File_18 anchor unless opened by dependency. |"
          },
          {
            "line": 303,
            "text": "| `4398–4391 BC → 1878–1871 BC` by dependency | projected envelope-to-envelope relation | Cainan / Famine macro-vector state | Uses `2520`; component labels must remain distinct and non-collapsed. |"
          },
          {
            "line": 304,
            "text": "| `1050t/n→1010t/n→970t/n→930t/n BC` | literal/precise monarchy phase rail | Kings / File_08 dependency | Compact `t/n` means phase-admissible same-year alternatives, not a Mirror slash-pair or uncertainty range. |"
          },
          {
            "line": 305,
            "text": "| `1051n→1011n→971n→931n BC` | Rounded monarchy rail | File_51a dependency | Mod-5 comparison state; not literal chronology. |"
          },
          {
            "line": 306,
            "text": "| `587/586 BC`; `967/966 BC` by dependency | adjacent date-state slash-pairs | Kings / File_08 / File_14 dependencies | Preserve as adjacent states if opened; File_18 uses `966 BC` and `586 BC` as primary displayed anchors. |"
          },
          {
            "line": 309,
            "text": "| `3658/3656/3608/3606 BC` | SKL fine-tuning display cluster | +720 / +30 / +2 dependency field | Source-retained display cluster; full derivation remains `File_34`-controlled. |"
          },
          {
            "line": 311,
            "text": "| `3 months and 3.5 days` | SKL textual-datum display | Sumerian B / SKL Long dependency | Month/day datum is preserved separately from whole-year local arithmetic. |"
          },
          {
            "line": 323,
            "text": "9. The fixed epoch from Aaron onward uses fixed anchors unless a dependency explicitly opens another state."
          },
          {
            "line": 329,
            "text": "15. Sumerian A / SKL Short, Sumerian B / SKL Long, `+30 Apparent Mode`, the selected local `+2` member, the full local `−2/0/+2` wheel, the selected macro `+720` member, the full SKL `−720/0/+720` dilation, and `+6480` variant-tier logic must remain distinct by unit and state."
          },
          {
            "line": 330,
            "text": "16. The SKL appended `3 months and 3.5 days` datum is preserved as a textual / dependency-controlled state, not as a local whole-year operator."
          },
          {
            "line": 331,
            "text": "17. The Cainan macro-vector state is a File_16 dependency layer, not a new File_18 table-generation operator. `2300`, `2307`, `2520`, `2730`, and `1260 → 1290 → 1260` may be cited from File_18 table values only when the active vector state and target node-class are named."
          },
          {
            "line": 333,
            "text": "19. The 299 / 300 residue line is now author-clarified as a dependency-controlled residue / conceptual residual-display state. The active Enochian ratio is `300/299`; legacy `299/300` wording is source-history / inverse-caption language; physical residue and conceptual residual-display must remain distinct."
          },
          {
            "line": 343,
            "text": "| §1 | Variant mechanism, Pentateuchal Funnel, `137` checksum, bounded cumulative-Cainan extension, and Cainan macro-vector controls | `+60 Terah`; `+215 Sojourn`; `+275`; Shem `±2`; Cainan `+130` / `+460`; `137 = 7 + 130`; `16 × 8` diagnostic; `4 × 138 = 552`; `2300`; `2520`; `2730`; Pentateuchal Funnel state; File_16 dependency |"
          },
          {
            "line": 344,
            "text": "| §2 | MT Regular baseline | MT Minimum-Regular; Kings dual-ledger dependency |"
          },
          {
            "line": 352,
            "text": "| §9 | Cross-reference index | dependency tracking |"
          },
          {
            "line": 353,
            "text": "| Appendix A | Website table adjustments | source-history conversion notes |"
          },
          {
            "line": 355,
            "text": "| Audit notes | Retains unresolved dependency and audit controls | audit notes; dependency boundaries |"
          },
          {
            "line": 356,
            "text": "| Unresolved issues | Lists retained non-blocking controls | source-history and dependency controls |"
          },
          {
            "line": 370,
            "text": "| Cainan-sector reinforcement | 1Kenan / 2nd Cainan `1370 = 10 × 137`; `910 + 460 = 1370` | Structural reinforcement | Supports the bounded File_18 amendment only; deeper Cainan-sector branches remain dependency-controlled. |"
          },
          {
            "line": 371,
            "text": "| Cainan macro-vector layer | `2300`; `2520`; `2730`; `2307`; `1260 → 1290 → 1260` from the cumulative Cainan / Shelah field | Category B macro-prophetic witness by File_16 dependency | Supports the Pentateuchal Funnel / 1876 BC Nexus relation. It does not alter table rows, variant-count mechanics, or Cainan `+130` / `+460` operators. |"
          },
          {
            "line": 389,
            "text": "| `±30`; local `±2`; macro `±720` in SKL | Label `+30 Apparent Mode` separately; use full centered local `−2/0/+2` and SKL `−720/0/+720` when the wheel is active; retain `+2` / `+720` only for selected-member rows. |"
          },
          {
            "line": 396,
            "text": "`File_18` supplies table values and baseline dates. It must not silently promote a baseline row into a proof of a later file's full argument. Where another file controls the argument or operator, retain the row as a data dependency."
          },
          {
            "line": 404,
            "text": "In Regular chronology, the localized Shem `±2` anomaly governs Noah/Shem bindings and qualified endpoint comparisons. Ordinary coherent Gear transport also applies to the Flood and other admitted pre-Flood biographies; see §3.1.4. At held variant settings, Arphaxad onward remains fixed under regular Gear. In Cumulative chronology, the anomaly propagates through the cumulative chain and creates the 7-year margin. Keep these mechanisms and domains distinct."
          },
          {
            "line": 419,
            "text": "File_11's ordinary Three-Gear field is `+0/+2/+4` in absolute notation and `−2/0/+2` when centered on Gear 2 / Shem. Under the SKL `360:1` scalar, the centered field is `−720/0/+720`. Sumerian A / SKL Short, Sumerian B / SKL Long, `+30 Apparent Mode`, the local and macro wheels, and `+6480` remain distinct states and units. Existing `+2` and `+720` table rows are selected-member displays, not the complete topology; each admitted macro member may carry a nested local `−2/0/+2` subrail only when explicitly opened. No nested subrail creates a new raw table row, source witness, or Primary anchor."
          },
          {
            "line": 431,
            "text": "`1876 BC` is a shared year-label. Depending on active state, it may mark Jacob's Entry under MT `430`, Abraham's Call / Death of Terah under Sojourn-division paths, Jacob's return from Haran under LXX `33 + 397` by dependency, or another convergence witness. Do not collapse these node-classes."
          },
          {
            "line": 447,
            "text": "The main LXX reconstruction retains the attested/transmitted LXX lifespan `753` (Genesis 5:31) with restored operative begetting age `182` in both Regular and Cumulative execution. `753` itself is not reconstructed; its retention as the preferred original LXX lifespan is the author-adopted textual/structural judgment of §4A.1. The remainder `571 = 753 − 182` is calculated, not an identified manuscript reading. No surviving joint `182/753` attestation has been identified in the reviewed sources; this qualification concerns the combined biography, not the attestation of `753`. Regular begetting paths and cumulative lifespan paths remain distinct methods, but Lamech's selected lifespan no longer changes between them. LXX use of MT `777` is an appendix overlay confined to Appendix B and appendix-routed downstream comparisons; its cumulative overlay is row-local and must not propagate into the `753` chain. MT `777` and Nahor's controlled LXX `208` remain unchanged. The transmitted `188` is non-operative: its possible Key-of-23 origin is a structural/transmission hypothesis, not an admitted main-chain variant."
          },
          {
            "line": 455,
            "text": "Ordinary Key-of-23 whole-year conversion is distinct from the Residue Protocol. The active Enochian ratio is `300/299`. Legacy `299/300` wording remains only source-history / inverse-caption language. The displayed `365.24` form does not by itself yield `7.5` days; File_12's true-solar reference yields `7.4178` days, while File_11 classifies the `7.5 days` value as Enochian conceptual residual-display and distinguishes it from physical residue. Do not feed day-display residue values into civil-year arithmetic unless a local Residue Protocol or calibration operator is explicitly opened."
          },
          {
            "line": 479,
            "text": "`File_18` supplies the cumulative Cainan table-source values used by the File_16 Cainan macro-vector: `4858–4851 BC`, `4398–4391 BC`, selected member `4396 BC`, regular Cainan lifespan members `2551–2091 BC` and `2336–1876 BC`, and lower-bound Entry `1661 BC`. The macro-vector calculations are Category B pattern-vector material by File_16 dependency. They do not alter the primary `12–8–4–2–0` Pentateuchal Funnel, do not add new table rows, and do not replace regular `+130` or cumulative `+460` Cainan handling."
          },
          {
            "line": 491,
            "text": "This source remains canonical Markdown. RAG metadata, Knowledge Graph records, JSON, JSONL, prompt-response pairs, and embedding metadata are derived extraction layers and must not replace the source file's arithmetic, modal states, operators, node-classes, claim-status labels, or dependency boundaries."
          },
          {
            "line": 499,
            "text": "This subsection states the file's architectural axiom. It is preserved as structural inference and theological / methodological framing. It does not replace table arithmetic, local state labels, or dependency-controlled derivations."
          },
          {
            "line": 532,
            "text": "The source uses this principle to propose candidate values before verification. A candidate value becomes argumentatively useful only after the relevant table, state, operator, or dependency check supports it."
          },
          {
            "line": 584,
            "text": "Arithmetic-control checking verified that the displayed source expression does not produce `7.5` days by ordinary arithmetic: `(299 × 365.24) − (300 × 364) = 6.76` days. Using the true-solar reference named by `File_12`, `(299 × 365.2422) − (300 × 364) = 7.4178` days. Current source-state control classifies the source's `≈ 7.5 days` as conceptual residual-display / calibration language rather than ordinary arithmetic from the abbreviated `365.24` display. Current dependency controls identify `File_17` for the exact `300/299` ratio, `File_12` for legacy `299/300` wording and true-solar display, and `File_11` for physical-residue versus conceptual residual-display distinctions. The supplied source also cites `File_28`, Section 1, which remains a legacy dependency not needed to proceed with the current File_18 revision."
          },
          {
            "line": 606,
            "text": "| Macro-vector dependency layer | §1.3.8 | Cumulative Cainan / Shelah envelope used as File_16 source field for `2300`, `2520`, `2730`, and Daniel 12 sandwich vectors. |"
          },
          {
            "line": 669,
            "text": "Claim-status: the generation counts and variant-date fields are structural data of the table state. The mapping of those counts to the four Pentateuchal arcs is a structural inference. The cross-tradition recurrence in MT, SP, and LXX is shared-tradition evidence / providential synchronization where the theological meaning is invoked. Where the pattern is interpreted as evidence of providential design, classify it as providential synchronization rather than as an unqualified proof of direct scribal intent."
          },
          {
            "line": 884,
            "text": "Regular restored 2nd Cainan under Gear 3; Kenan / 2nd Cainan sector by File_11 dependency."
          },
          {
            "line": 958,
            "text": "Tier: macro-vector dependency layer."
          },
          {
            "line": 961,
            "text": "MT Cumulative + 2nd Cainan table-source state, regular restored 2nd Cainan comparison state, and File_16 `1876 BC` Nexus dependency."
          },
          {
            "line": 970,
            "text": "| Daniel 8 death-side vector | 4391 BC | −2300 | 2091 BC | regular restored 2nd Cainan death / Abraham Call member by dependency |"
          },
          {
            "line": 971,
            "text": "| Daniel 9 Famine envelope, upper member | 4398 BC | −2520 | 1878 BC | Famine-window commencement by File_16 dependency |"
          },
          {
            "line": 972,
            "text": "| Daniel 9 Famine envelope, core member | 4396 BC | −2520 | 1876 BC | Super-Anchor / Famine Year-2 / Entry hinge by File_16 dependency |"
          },
          {
            "line": 973,
            "text": "| Daniel 9 Famine envelope, lower member | 4391 BC | −2520 | 1871 BC | Famine-window termination by File_16 dependency |"
          },
          {
            "line": 975,
            "text": "| Daniel 12 sandwich | 4396 BC → 3136 BC → 1846 BC → 586 BC | 1260 → 1290 → 1260 | 586 BC | Cainan-to-Exile macro-prophetic witness by File_16 dependency |"
          },
          {
            "line": 1006,
            "text": "| MT + 2nd Cainan | 4398–4391 BC | `−2520 = 60 × 42` | 1878–1871 BC | Famine window; File_16 B6 dependency |"
          },
          {
            "line": 1075,
            "text": "The same-side arithmetic is direct under the named states. The classification of the `2520`, `2300`, `2730`, and Daniel 12 sandwich relations as a macro-prophetic witness belongs to `File_16`. In `File_18`, the material is table-source support plus structural dependency notation."
          },
          {
            "line": 1085,
            "text": "This `2307` companion is retained as sanctuary / Hanukkah-style exploratory material unless a later dependency opens the inclusive operator explicitly."
          },
          {
            "line": 1116,
            "text": "### 1.6 The 2nd Cainan switch"
          },
          {
            "line": 1160,
            "text": "Data table: `File_18`, §6B for MT Cumulative + 2nd Cainan tables; §§6C–6D for SP and LXX cumulative comparison. Convergence logic: `File_16`, §3. Axiom definition: `File_00`, 2nd Cainan Switch."
          },
          {
            "line": 1259,
            "text": "Genesis 11:10 supplies the two-year distinction used in the regular Noah/Shem binding comparisons. This localized comparison permission does not restrict ordinary coherent Gear transport of the Flood; see §3.1.4. In Cumulative chronology, the `±2` propagates through the chain; see §6 and `File_02`."
          },
          {
            "line": 1432,
            "text": "Frame conversion:"
          },
          {
            "line": 1442,
            "text": "The table uses the native SP frame. Jared, Methuselah, and Lamech retain their lifespan numbers under the inclusive Flood-cap convention. Their selected deaths lie at Flood start; ordinary subtraction to Flood close is the equivalent capacity calculation, not an alternative physical-death assignment."
          },
          {
            "line": 1510,
            "text": "Keep birth-position correspondence separate from event correspondence. BJ births plus `345` reach native SP `2995/2993/2990`, selecting G3 primary / G2 primary / G1 companion from the Shem field. In the equalized frame the same birth-position translation is `+560`, reaching `3210/3208/3205`. It preserves BJ’s `2+3` spacing. The ordinary SP upper son-order reconstruction remains Japheth `3210` → Shem `3208` → Ham `3206`, with `2+2` spacing. Birth-order position, named person, and representative status are distinct; Report V and its companion supply the fuller interpretation."
          },
          {
            "line": 1528,
            "text": "Capacities are not nine asserted lifespans. The retained SP lifespans of Jared, Methuselah, and Lamech meet their capacities and place their selected deaths at the G2 Flood start:"
          },
          {
            "line": 1530,
            "text": "| Patriarch | Selected death BC | Inclusive verification | Equivalent capacity to Flood close |"
          },
          {
            "line": 1536,
            "text": "The equivalent closing-boundary calculation does not move their selected deaths to `2892`. The inclusive `+1` counts the endpoint year; it does not give Adam through Lamech a Noah/Shem companion birth rail."
          },
          {
            "line": 1538,
            "text": "For coherent Gear displacement `δ = −2, 0, +2`, transport each selected birth and Flood start together. The capacity stays `(birth+δ)−(2893+δ)+1 = birth−2893+1`; close is independently `2892+δ`. A cap takes the minimum of the current lifespan count and this qualified capacity. Gear carries the current capped lifespan unchanged and does not restore discarded information. This is guarded/source-qualified commutation, with no wider state-count claim."
          },
          {
            "line": 1550,
            "text": "Every row has the ladder `G3 start → G2 start → G1 start → G1 close = 2+2+1 = 5`. At this layer LXX is MT `+780`, including Arphaxad. Each Flood close arises from that Gear’s one-year event span, independently of SP Noah/Shem primary→companion. At held Sojourn, Terah, and Cainan settings, regular Arphaxad onward through Moses does not move with Gear; the separately scoped variant mechanisms retain their own permissions."
          },
          {
            "line": 1583,
            "text": "The native G2 post-Flood spans are `2893−2543=350` and `2892−2542=350`. The second uses Flood close and Noah’s companion death; it does not type the Flood close as a companion. The cross-pair `2893−2542=351` is not an unqualified `350`."
          },
          {
            "line": 1587,
            "text": "| Shem station / binding | Birth BC | Death BC | Qualified relation |"
          },
          {
            "line": 1594,
            "text": "G2 primary Shem `2993` is `102` from fixed Arphaxad `2891`. These comparisons retain their endpoint roles and bindings. Noah/Shem alone have the full qualified cross-Gear endpoint-comparison permission in this domain; other patriarchs retain coherent-Gear biographies. Qualified Noah↔Flood comparisons are allowed, while the Flood remains an event start/close structure."
          },
          {
            "line": 1596,
            "text": "The post-Flood begetting table selects the G1 primary / Arphaxad-bound Shem row:"
          },
          {
            "line": 1710,
            "text": "The main LXX reconstruction pairs restored begetting `182` with attested LXX lifespan `753` in both Regular and Cumulative execution. The remainder `571` is calculated. The lack of an identified surviving joint `182/753` attestation concerns the combination, not `753` itself; §4A.1 explains its retention as the author-preferred original LXX lifespan. Methuselah still dies in the Flood year (`3023 BC`); Lamech dies `29` years before (`3052 BC`). See §4A for the source distinction and qualified Key-of-23 explanation, and Appendix B for the MT-derived LXX `777` overlay and retained external references. No other row in this birth chain changes."
          },
          {
            "line": 1746,
            "text": "Active state: author-adopted LXX main reconstruction, September 8 2026. `182` is the restored regular begetting input; `753` is the retained attested LXX lifespan in both Regular and Cumulative execution. This supersedes the former regular-`777` / cumulative-`753` dual-locality ruling. Unless specified otherwise, the displays below use the website `+215 Sojourn`, no-`+60 Terah`, native-LXX-Cainan frame. Appendix A retains the minimum-frame conversion. Appendix B preserves the MT-derived LXX `777` overlay, overlap geometry, and lesser corroborations outside the main chronology."
          },
          {
            "line": 1752,
            "text": "The component-wise reconstruction pairs this retained `753` with the restored operative begetting age `182`, supported by the repository's MT/external-witness argument and source-selected birth chain. It gives `182 + 571 = 753`, with `571` calculated. No surviving manuscript witness jointly attesting `182/753`, or independently reading `571`, has been identified in the sources reviewed here. That qualification concerns the combined biography, not the attestation of `753`, and is not a claim that such a joint text could never have existed."
          },
          {
            "line": 1754,
            "text": "Smith is an external reconstruction witness, not an endorsement of this combined selection. His different full-biography restoration and its source qualifications are retained in Appendix B.1/B.7. MT-like ancestry is the author's working transmission hypothesis, not a historical priority established by the numerical comparisons."
          },
          {
            "line": 1772,
            "text": "Lamech now dies `29` years before the regular LXX Flood. The selected Methuselah `187` / Lamech `182` birth chain still puts Methuselah's death at the Flood: `187 + 182 + 600 = 969`. No regular birth date, Creation endpoint, Noah biography, Flood anchor, or Cainan/Terah/Sojourn operator is changed by the lifespan decision."
          },
          {
            "line": 1792,
            "text": "Endpoint register: `3336 BC` is the Shem birth on the `3336–2736 BC` biography; `2738 BC` is the death on the alternate `3338–2738 BC` biography. Each matched biography retains `600`. The selected `3336 → 2738` span is therefore a cross-Gear `598` comparison, not Shem's ordinary lifespan. `3267 BC` is the main Lamech death (`4020 − 753`) and is not shifted to manufacture the partition."
          },
          {
            "line": 1818,
            "text": "The `777` in this main-body comparison is MT Lamech's unchanged lifespan; `753` is the adopted LXX lifespan and `653` is SP Lamech's lifespan. The `24` gain and the LXX–SP `100` difference give structural support to the choice of `753`. They do not imply that multiplying `753` by a Key yields `777`, or prove that SP was historically produced from the LXX. The cumulative `454 → 430` consequence remains controlled by §6D and uses the retained `753` input, rather than explaining that input independently of its selection."
          },
          {
            "line": 1864,
            "text": "Use `182/753` consistently in the actual regular and cumulative LXX reconstructions. Keep `571` explicitly calculated. Retain transmitted `188` as non-operative source data and as the object of the qualified hypothesis in §4A.6, not as a newly licensed toggle. LXX `777` biographies and cumulative extensions belong in Appendix B; their downstream operator examples belong in the relevant file's appendix. A short routing reference does not import those examples as main-chain evidence. The MT `777`, unrelated symbolic `777` structures, existing rounded protocols, and all main cumulative totals remain unchanged."
          },
          {
            "line": 2004,
            "text": "This table supplies the source field for the File_16 Cainan macro-vector. The active table-source values are Cainan `4858–4851 BC`, Shelah / convergence envelope `4398–4391 BC`, and selected member `4396 BC`. `File_18` supplies these values; `File_16` controls the `1876 BC` Nexus argument, Category B classification, and Bullseye Protocol use."
          },
          {
            "line": 2007,
            "text": "When the comparative SP and LXX cumulative Shelah envelopes are opened by dependency, MT, SP, and LXX all yield seven-year target windows by spans divisible by `60`: MT `60 × 42` to the Famine window, SP `60 × 40` to the Famine window, and LXX `60 × 49 = 6 × 490` to the preceding years of Plenty. This note is structural comparison only and does not alter the §6B table rows."
          },
          {
            "line": 2033,
            "text": "#### 6C.1 Day-4 phase-anchor display (File_56 dependency; routed July 2 2026, applied July 6 2026)"
          },
          {
            "line": 2069,
            "text": "The `777` cumulative overlay formerly printed here is preserved in Appendix B.2. It shares the Noah endpoint with the `753` chain and must not propagate upward. The LXX Flood's chief cumulative marker remains the death of Methuselah, matching the selected regular `187/182` alignment. The `14901 − 1446 = 13455 = 299 × 45` lock (File_56 dependency) and all main §6D coordinates remain unchanged."
          },
          {
            "line": 2134,
            "text": "Claim-status: dependency-controlled textual datum and structural inference."
          },
          {
            "line": 2140,
            "text": "File_34-controlled SKL / Berossus dependency."
          },
          {
            "line": 2214,
            "text": "Claim-status: dependency-controlled textual datum and structural inference."
          },
          {
            "line": 2215,
            "text": "The SKL phrase “24510 years, 3 months and 3.5 days” functions, by source argument, as evidence that the two variants form one system, just as MT, SP, and LXX are complementary witnesses. The `+3 months` links the chronologies through gear-switching."
          },
          {
            "line": 2220,
            "text": "| Scale 2 | 1 day = 360 years; 90 days from the active `+30 Apparent Mode` rails `2936/2886 BC` to Pillars `AD 29465/29515`. The Pillar dates are Projective Boundary / Temple-Time coordinate states by `File_21` dependency. |"
          },
          {
            "line": 2226,
            "text": "Claim-status: dependency-controlled textual datum and structural inference."
          },
          {
            "line": 2293,
            "text": "The SKL anchor, `2886/2856 BC`, marks the cosmic end of the Creation Week: the point where God's rest is complete. The SKL text's “3.5 days” functions, by source argument, as a dependency-controlled bridge from MT Creation to SKL. The claim that the systems were designed as an integrated whole is preserved as providential synchronization and theological interpretation, while the local arithmetic burden remains with the stated `3.5 × 360`, `7.5 × 360`, and SKL rail calculations."
          },
          {
            "line": 2296,
            "text": "These fine-tuning mechanisms result from scaling the small biblical `±2` and `+30` states into Sumerian cosmic time. The gear analogy is retained as explanatory language; the argument remains structural inference unless the active rail and dependency are named."
          },
          {
            "line": 2302,
            "text": "| Conversion | Source date | Variant date |"
          },
          {
            "line": 2403,
            "text": "| Cumulative Flood / SKL Day 2 | `4836 − 2856 = 1980 = 5.5 × 360`; `4836 − 2886 = 1950` | Preserve; row uses SKL Long target unless another dependency states otherwise. |"
          },
          {
            "line": 2404,
            "text": "| Tammuz → Abraham `360 × 360 = 129600` | Not derivable from the visible Tammuz rows and standard Abraham anchors alone | Preserve as dependency-controlled SKL / Berossus display. |"
          },
          {
            "line": 2423,
            "text": "### 9.2 Dependency-control additions"
          },
          {
            "line": 2425,
            "text": "These additions are not presented as legacy source rows. They are dependency controls required by the current repository files."
          },
          {
            "line": 2427,
            "text": "| File | Dependency function |"
          },
          {
            "line": 2452,
            "text": "The ordinal `599+` and conventional cardinal `600` readings are reconciled through qualified SP Noah/Shem stations. They do not generate a one-year Flood uncertainty range or shift Adam through Lamech. §3 gives native G2 Flood start→close `2893→2892`, while Arphaxad stays `2891`; add `215` for `3108→3107` and `3106`. The Flood has ordinary three-Gear transport in MT, LXX, and SP. LXX remains native Cainan ON in the full-430 comparison, including Creation `5494`, Flood `3238→3237`, and Arphaxad `3236`."
          },
          {
            "line": 2496,
            "text": "Thus the `777` overlay overlaps Methuselah's final `24` cumulative years rather than inserting new time before Noah. The unchanged `753` chain preserves `14901 − 1446 = 13455 = 299 × 45` (File_56 dependency) and the §6D `430` alignment. File_46 Appendix A now holds the preserved `8070` twenty-of-years, staged-Flood, and double-expansion examples; its §6A.1–§6A.3 remain routing points only where those overlay instances are concerned."
          },
          {
            "line": 2538,
            "text": "The union now reads `774 | 3 | 774`. Translating the MT death with its birth is an additional declared whole-biography choice; the birth-to-Exodus expansion alone does not prescribe it. The longer sequence `774 + 3 + 3 + 771 + 6 = 1557`, from `4020` to `2463`, is arithmetically valid but is not itself a palindrome."
          },
          {
            "line": 2542,
            "text": "The previous §4A.6 used the LXX Flood Gears `3240 / 3238 / 3236 BC` (minimum `3025 / 3023 / 3021`) and the `3240 − 1446 = 1794` span, then spoke of advancing the Gear-2 Flood by six years. The exact anchored conversion applies to the `3240` Gear-3 endpoint; it gives `3246`. Applying its gain to Gear 2 is a further cross-Gear gain-transfer, not that same direct anchored expansion. This route is retained only as a qualified subsidiary comparison and is not needed for the main rule or the better-specified §4A.5 comparisons."
          },
          {
            "line": 2552,
            "text": "| Smith Jr., H. B. (2018), “The case for the Septuagint's chronology in Genesis 5 and 11,” in J. H. Whitmore (ed.), *Proceedings of the Eighth International Conference on Creationism*, pp. 117–132; Tables 3–4 and Lamech discussion | External reconstruction witness. His proposed full restoration is not the selected `182/753` reconstruction. The September 8 discussion record reports his statement that `182` is absent from the surviving LXX witnesses he surveyed; support is drawn from MT and external witnesses, some themselves reconstructed. No fresh manuscript collation is claimed. |"
          },
          {
            "line": 2555,
            "text": "| Author discussion, September 8 2026 | Main `182/753` decision; retention of attested `753` as the preferred original LXX lifespan; preference for the `69 \\| 529 = 598` family; supporting `+6/+24/100` comparisons; qualified crossover/transmission hypothesis. |"
          },
          {
            "line": 2557,
            "text": "Historical inference ceiling: these patterns make the selected numbers structurally intelligible within the repository, but do not prove that a scribe used its BC anchors, that `188` was consciously encoded, that MT historically preceded every other witness, or that the lost joint `182/753` text existed. Providential interpretation remains the author's interpretive framework rather than an arithmetic parameter."
          },
          {
            "line": 2569,
            "text": "The source-retained line `(299 × 365.24) − (300 × 364) ≈ 7.5 days` remains preserved, but Current source-state control classifies it as dependency-controlled conceptual residual-display / calibration language. `File_17` defines the exact `300/299` operator; `File_12` preserves legacy `299/300` wording only as source-history / inverse-caption language and gives the true-solar display `7.4178`; `File_11` distinguishes physical residue from conceptual residual-display and gives physical `300/299` residue as `299/40 = 7.475` days. `File_28` remains optional legacy provenance rather than a current blocker."
          },
          {
            "line": 2572,
            "text": "The September 8 2026 author ruling supersedes the July regular-`777` / cumulative-`753` split and the September prohibition on considering `188` as structural evidence for a qualified transmission hypothesis. Main execution is `182/753`; `188` remains non-operative; the LXX `777` layer is appendix-only. The earlier blanket claim that no historical stage ever paired `182/753` is replaced by the narrower reviewed-source non-attestation disclosure. Earlier editions are preserved in the revision package; the Repository Change Archive is not rewritten by this amendment."
          },
          {
            "line": 2574,
            "text": "Dependency note 4 — `File_28` dependency:"
          },
          {
            "line": 2578,
            "text": "§7 compresses SKL Short, SKL Long, Berossus, `+6480`, `+720`, `+30`, `+2`, and the appended `3 months and 3.5 days` datum. Visible arithmetic is checked only where locally executable. Full derivation remains dependency-controlled by `File_34`."
          },
          {
            "line": 2581,
            "text": "Current claim-status control classifies source-retained design-proof language as structural inference, shared-tradition evidence, theological note, providential synchronization, or dependency-controlled claim as appropriate. The design language is preserved, but it does not carry the arithmetic burden by itself."
          },
          {
            "line": 2590,
            "text": "Resolved under the September 8 2026 ruling: both main LXX reconstructions select lifespan `753`, with begetting `182` in the regular chain and calculated remainder `571`. No joint attestation is claimed. Nahor's controlled `208` is unchanged. Appendix B preserves Smith's different full-biography reconstruction and the row-local `777` cumulative comparison without promoting either into main execution."
          },
          {
            "line": 2593,
            "text": "Superseded in scope by the September 18 2026 author ruling. The SP `−1` companion belongs only to Noah/Shem person-stations; the former upstream-ripple wording is withdrawn. Native G2 Noah `3493/3492` and Shem `2993/2992` give qualified paths to Flood start `2893`; Flood close `2892` comes independently from the event-year span. Lamech `3545→2893` is `653` inclusive. Ordinary Flood Gears apply across MT/LXX/SP, while regular Arphaxad `2891` stays fixed under Gear at held variant settings. G1 Shem `2991/2990` and deaths `2391/2390` remain under the named bindings in §3.2.1. The G2 `654+654` midpoint ends at fixed Arphaxad and remains distinct from the G1 triple coordinate convergence. BJ provides derivative/corroborating structural evidence in the project model; no SP companion operator transfers to MT or LXX."
          },
          {
            "line": 2617,
            "text": "The §7.4.5 line `Flood (4836 BC) → SKL = 1980 years = 5.5 × 360` checks against SKL Long `2856 BC`, because `4836 − 2856 = 1980`. It does not check against SKL Short `2886 BC`, where the span is `1950`. Recommended handling: preserve the row and name the active SKL Long target unless a later dependency opens another operator."
          },
          {
            "line": 2628,
            "text": "No author-decision blocker remains. The following retained notes are dependency-boundary or source-history controls. They are not blockers to Final status if retained in the publication copy."
          },
          {
            "line": 2631,
            "text": "2. Section 7's SKL / Berossus derivation remains dependency-controlled by `File_34`; Current source-state controls clarify rail labels but do not locally rederive SKL / Berossus."
          },
          {
            "line": 2634,
            "text": "5. The `2307` inclusive companion and the solar `7.5 × 365` comparison remain audit-controlled. They are not blockers because the executable File_18 update uses same-side arithmetic, the Enochian `2730 = 7.5 × 364` state, and File_16 dependency classification."
          },
          {
            "line": 2654,
            "text": "Author-directed correction: main LXX `182/753` in both methods; one regular death/lifespan row changed; cumulative overlay relocated to Appendix B; §4A replaced with source distinctions and qualified Key-of-23 hypothesis. Register v1.53 §D.43 / Capsule v11.52 §10.30 control this amendment. Focused arithmetic, diff, guard, dependency, and protected-region checks are recorded in the accompanying verification report. No new full-file pressure test, separate re-Finalization, website deployment, manifest update, or external archival capture is claimed."
          },
          {
            "line": 2666,
            "text": "- Numerical correction: native G2 Flood start/close `2892→2891` replaced by `2893→2892`; selected capped deaths of Jared/Methuselah/Lamech use `2893` with inclusive counts `847/720/653`. Noah `3493/3492` and deaths `2543/2542` are correctly ordered primary/companion. Creation `4199`, Lamech birth `3545`, and Arphaxad `2891` are retained."
          },
          {
            "line": 2667,
            "text": "- Mechanism correction: distinguish cross-tradition Flood Gears and event-year boundaries from the SP-only Noah/Shem `−1` companion. Withdraw whole-chain toggle/ripple language; retain interval-specific ordinal/completed readings and the qualified older Shem stations."
          }
        ],
        "state_and_role": [
          {
            "line": 3,
            "text": "Status: Inherited Final baseline retained; bounded September 18 2026 author-authorized SP Flood / Noah–Shem correction and cross-tradition Flood-Gear clarification applied; bounded September 13 2026 source-table / phase clarification applied (LXX Peleg/Reu/Serug copy-error correction; Aaron-before-Moses phase wording); September 8 2026 Lamech settlement clarified by author direction: attested LXX lifespan `753`, restored begetting `182`, calculated remainder `571`; the combined `182/753` biography is component-wise reconstructed. LXX `777` remains an MT-derived appendix overlay. The **September 8 Lamech wording clarification** changed no numerical table; the September 13 LXX triplet correction changes only the three author-confirmed §4.2 copy-error cells and their death labels. Focused verification only; no new full-file pressure test or separate re-Finalization."
          },
          {
            "line": 7,
            "text": "Register Agreement status: Lamech source hierarchy remains at State Vocabulary Register v1.54 §D.43 / current v1.55 inherited §D.43 and Restart Capsule v11.53 §10.30; September 13 corrections are registered at State Vocabulary Register v1.55 §D.44 and Restart Capsule v11.54 §10.31; the v1.53 / v11.52 numerical settlement is unchanged. Earlier Lamech-specific D.18/D.42 instructions remain superseded in scope. The September 18 SP/Flood correction is author-authorized in this file and the revised Report V / companion register; corresponding central Register and Restart Capsule updates remain pending. Unrelated inherited controls, nested Gears, Sothic amendments, and Primary anchors remain unchanged."
          },
          {
            "line": 18,
            "text": "Major operators: `+60 Terah`; `+215 Sojourn`; `+275`; `60 + 155 + 60`; `±215`; File_11 absolute Three-Gear `+0/+2/+4`; Shem-centered local `−2/0/+2`; SKL dilation `−720/0/+720`; nested local-on-macro subrails; regular restored 2nd Cainan `+130`; cumulative restored 2nd Cainan `+460`; 137 checksum `7 + 130`; proportional unit `1656 ÷ 12 = 138`; missing-four extension `4 × 138 = 552`; completed extension `16 × 138 = 2208`; Cainan-to-Moses lock `3450 = 138 × 25`; Kenan / Cainan reinforcement `1370 = 10 × 137`; Cainan lifespan-sum `910 + 460 = 1370`; Cainan macro-vector `2300`; Cainan / Famine envelope projection `2520`; cross-tradition Shelah `60`-multiple comparison `2400` / `2940`; `60 × 42`; `60 × 40`; `60 × 49`; `60 × 59`; `60 × 99`; `60 × 101`; `60 × 108`; `6 × 490`; `3540`; `5940`; `6060`; `6480`; inclusive companion `2307`; Enochian lower-bound vector `2730 = 7.5 × 364`; Daniel 12 sandwich `1260 → 1290 → 1260`; 360:1 SKL scale; `+6480`; selected macro `+720` member; `+30 Apparent Mode`; selected local `+2` member; bounded adjacent-macro `690/720/750`; File_21 SKL rounded mod-10 Mirror display `BC + AD − 2`; File_21 SKL Short / Long relation `6530 − 50 = 6480`; File_34 SKL-to-Berossus `2370` corridor by dependency; File_34 `30 + 20 + 30` restoration corridor by dependency; paired slash-display arithmetic by dependency; phase-chain arithmetic by dependency; `25/23`; `70/69`; `300/299`; `430`; `480`; `+50` Jubilee Offset; same-side BC subtraction; civil cross-axis span `BC + AD − 1` if opened; Lamech non-operative transmitted-`188` comparison; hypothesis-level gain-transfer; appendix triad deltas `+6 / −30 / −24`; `454 − 24 = 430`; LXX Exodus lock `299 × 45` by File_56 dependency; Flood Gears `3240 / 3238 / 3236` (`+215` frame) by File_11 dependency; downstream full clutch `T14(C) = C − 14`, half-clutch midpoint `H7(C) = C − 7`, and fixed-offset Joseph translation by corrected File_61 / Final File_62 dependency only"
          },
          {
            "line": 19,
            "text": "Major modal states: raw data source state; minimum baseline table state; Regular chronology; Cumulative chronology; MT Minimum-Regular; MT Standard-Normal; Abraham two-state / Terah four-state variant field; 2nd Cainan variant-boundary state; 12–8–4–2–0 generational variant-count ladder; multi-tradition Pentateuchal Funnel all-even structural harmony; restored/native 2nd Cainan 27-generation completion state; tebah / ark typological bridge state; 137 boundary checksum state; Shem dual-100 state; 16 × 8 expectation / cumulative-Cainan extension state; Kenan / Cainan tenfold reinforcement state; Cainan macro-vector state; Cainan / Famine envelope-to-envelope state; cross-tradition 60-multiple Shelah / Plenty-Famine alignment state; Mirror 60-spine / Terah-Cainan death-rail state; regular-Cainan 460-year cross-modal symmetry state; Cainan triple-target matrix state; Cainan-to-Exile Daniel 12 sandwich state; Cainan-sector branch-restraint state; SP Normal / G2; SP-local Noah/Shem primary–companion field; cross-tradition Flood Gear / start–close field; SP Ideal / Exclusive comparison; LXX Regular-Minimum; LXX Terah / Abraham `2 × 2` variant field; regular-localized Shem `±2`; cumulative-propagated Shem `±2`; absolute Three-Gear state; selected local `+2` member state; SKL centered `±720` dilation; nested local-on-macro subrail state; regular restored 2nd Cainan; cumulative restored 2nd Cainan; literal/precise United Monarchy state; Rounded Scaffold United Monarchy state; shared-`966` state; Kings dual-ledger state; Sumerian A / SKL Short; Sumerian B / SKL Long; SKL `+30 Apparent Mode`; selected SKL local `+2` member; selected SKL macro `+720` member; full nested `±2 / ±720` Three-Gear control; File_21 SKL Unified Protocol dependency state; File_34 post-final dependency state; File_34 SKL-to-Berossus `2370` corridor dependency state; File_34 `30 + 20 + 30` restoration corridor dependency state; SKL rounded mod-10 Mirror display-state; Jachin / Boaz Temple-Time Pillar coordinate state; providential multi-tradition system state; LXX component-wise `182/753` main-chain state; non-operative transmitted-`188` comparison state; Key-of-23 crossover hypothesis; appendix-only LXX `777` overlay state; `430`-alignment justification state; Flood-marker convention set; Kohath / Amram silence state; corrected File_61 / Final File_62 downstream half-/full-clutch table-routing state; File_62 Joseph inherited-translation and fixed-Joshua `216` comparison state by dependency"
          },
          {
            "line": 20,
            "text": "Revision basis: 490d Repository Style Guide v2.5; Restart Capsule v11.46; State Vocabulary Register v1.47 Part D §D.38; Project Procedures v3.5; prior finalized File_18 source; Files 11, 21, 34, and 50c; retained monarchy, File_63, File_61/File_62, File_09/File_69, and File_69 routes; August 25 2026 bounded nested Three-Gear control correction; Repository_Change_Archive and Publication Manifest retained as non-controlling prior publication records."
          },
          {
            "line": 23,
            "text": "September 8 2026 Lamech correction: the former regular-`777` / cumulative-`753` split is superseded by `182/753` in both main reconstructions. Regular Lamech death changes from `3028` to `3052 BC` in the minimum frame; the birth chain and all cumulative chain values remain fixed. `188` remains non-operative but may be examined as a qualified Key-of-23 transmission hypothesis; LXX `777` examples move to Appendix B."
          },
          {
            "line": 29,
            "text": "September 18 2026 SP/Flood correction: in the native SP frame, G2 Lamech is `3545→2893`, `653` inclusive; Noah primary/companion is `3493/3492`; Flood start→close is `2893→2892`; fixed Arphaxad remains `2891`. Add `215` for the reports’ equalized SP frame: `3760→3108`, Noah `3708/3707`, Flood `3108→3107`, Arphaxad `3106`. Ordinary Flood Gears and each Gear’s one-year event span apply to MT, LXX, and SP; the adjacent `−1` person-station rail applies only to SP Noah/Shem. The native-LXX comparison remains Cainan ON: G2 Creation `5494`, Flood `3238→3237`, Arphaxad `3236`. §§0, 2.2.1, and 3, Appendix A, and clarification note 10 carry the bounded correction; cumulative and SKL data are unchanged."
          },
          {
            "line": 39,
            "text": "| `File_02` | Flood terminology; MT Minimum-Regular / MT Standard-Normal distinction; SP Normal / G2 with the September 18 local correction; LXX Regular-Minimum; SKL Short / Long terminology; Shem `±2` state distinction. |"
          },
          {
            "line": 41,
            "text": "| `File_05` | Primary `1446 BC` Exodus state; subordinate `1231 BC` Ramesside state; Sojourn 215 / Exodus 215 firewall. |"
          },
          {
            "line": 46,
            "text": "| `File_11` | Three-Gear Protocol, `299 → 300`, `300/299`, and Residue Protocol distinction. |"
          },
          {
            "line": 92,
            "text": "Tables present minimum baseline dates. All variants are derived by applying the documented mechanisms, especially `+60 Terah`, `+215 Sojourn`, or both."
          },
          {
            "line": 103,
            "text": "Nested Three-Gear correction note:"
          },
          {
            "line": 113,
            "text": "| Minimum baseline table state | `3899 BC`; `4199 BC`; `5279 BC`; `1661 BC` | minimum display rows | Baseline rows are forward-most table values. Variant rows are generated by stated operators rather than by silently altering the baseline. |"
          },
          {
            "line": 120,
            "text": "| MT Minimum-Regular state | `3899 BC`; `2243 BC`; `1661 BC` | forward-most MT regular baseline | Active in §2. No `+60 Terah` or `+215 Sojourn` is applied unless the section names it. |"
          },
          {
            "line": 121,
            "text": "| MT Standard-Normal / `+215 Sojourn` state | `4114 BC`; `2458 BC` by dependency | full-430 Egypt / normative MT state | Distinct from MT Minimum-Regular. `4114 BC` is not a correction of `3899 BC`; it is `3899 + 215`. |"
          },
          {
            "line": 122,
            "text": "| MT `+60 Terah` state | `3959 BC` from `3899 + 60` | Terah-only variant | Applies to Adam → Terah field where opened. Does not alter fixed Aaron-forward rows. |"
          },
          {
            "line": 123,
            "text": "| MT maximum / `+275` state | `4174 BC` from `3899 + 275` | combined `+60 Terah` and `+215 Sojourn` | Preserve the source's combined position while also preserving sequential `60 + 155 + 60` anatomy. |"
          },
          {
            "line": 124,
            "text": "| Epoch-boundary state | Adam → Terah; Abraham → Levi / Joseph; Aaron onward | variant-scope boundary | Abraham through Levi / Joseph admits two positions through the `±215` Sojourn fork. Terah opens the `+60 Terah` fork and doubles the field to four positions from Terah back to Adam in the normal no-2nd-Cainan table state. If restored 2nd Cainan is explicitly inserted, Terah through 2nd Cainan remains four-position, while Arphaxad / Flood through Adam becomes eight-position. Aaron onward is fixed. |"
          },
          {
            "line": 125,
            "text": "| Abraham → Levi / Joseph `±215` field | Abraham `1951/2166 BC`; Entry `1661/1876 BC`; Jacob / Joseph / Levi rows | Sojourn-position fork | Events from Levi / Joseph back to Abraham have two possible dates because of the `215`-year Sojourn variant. Do not apply `+60 Terah` until the Terah boundary. |"
          },
          {
            "line": 126,
            "text": "| Terah four-position field | Terah births `2021/2081/2236/2296 BC`; Terah deaths `1816/1876/2031/2091 BC`; Abraham births `1951/2166 BC` | `±215 × +60 Terah` hinge | Author-clarified. Abraham has two birth states, `1951 BC` and `2166 BC`. Terah has four birth/death states because `+60 Terah` doubles the Abraham field. Restored 2nd Cainan does not make 2nd Cainan itself eight-position; 2nd Cainan remains in the four-position Terah-to-Shelah field. The eight-position field begins with Arphaxad / Flood and propagates back to Adam only when restored 2nd Cainan is explicitly opened. |"
          },
          {
            "line": 127,
            "text": "| 2nd Cainan variant-boundary state | Shelah births `2481/2421 BC` and `2266/2206 BC`; 2nd Cainan births `2611/2551 BC` and `2396/2336 BC`; 2nd Cainan deaths `2151/2091 BC` and `1936/1876 BC` | restored regular 2nd Cainan boundary | Author-clarified. 2nd Cainan has four possible date states, like Terah. His father Arphaxad, whose birth is synonymous with the Flood / Ark-exit conception boundary, is the first row to absorb the additional restored-Cainan hinge and therefore becomes eight-position, with that eight-position state propagating back to Adam. |"
          },
          {
            "line": 128,
            "text": "| Multi-tradition Pentateuchal Funnel all-even structural harmony | Generation-count ladder `12 → 8 → 4 → 2`; possible-date ladder `8 → 4 → 2 → 0` when the Cainan hinge is active, whether restored in MT / SP or native / explicitly toggled in LXX | structural inference / Pentateuchal macro-architecture across MT, SP, and LXX | Author-clarified. The variant-boundary pattern is not merely a list of boundary lines and is not local to MT. MT, SP, and LXX encounter the same structural fork sequence at the same genealogical locations: the Sojourn / Egypt-position `+215` fork, the `+60 Terah` fork, and the 2nd Cainan `+130` boundary. The tradition-specific status differs: MT / SP restore Cainan when that state is opened; LXX already contains Cainan in the baseline and uses removal / expunction only as a theoretical state. The pattern maps onto Creation → Flood; Flood → Abraham; Abraham → Entry into Egypt; Egypt → Conquest / death of Moses. The `+215` fork is held open by the Kohath / Amram silence: no begetting ages are given for Kohath or Amram, so no strict chain caps the Egypt span (Kohath / Amram silence state; the associated seven-multiple minimum / maximum locks remain an explicitly deferred author item). Claim-status: structural inference, with theological / providential significance available where the local argument opens it. |"
          },
          {
            "line": 129,
            "text": "| Restored/native 2nd Cainan 27-generation completion state | `12 + 8 + 4 + 2 + 1 = 27 = 3 × 3 × 3` | secondary generation-count completion / structural keystone | Author-clarified and pressure-tested. With restored 2nd Cainan opened in MT / SP, or native 2nd Cainan retained in LXX, the Pentateuchal generation count from Adam to Moses completes at `27`. This state is secondary to the primary `12–8–4–2–0` variant-count ladder and must not obscure the main 8-date / 4-date / 2-date / 0-date block logic. Without restored/native 2nd Cainan, the count drops to `26`, the 2nd Cainan → Terah block becomes `7` rather than `8`, and the all-even funnel no longer has the same structure. Claim-status: arithmetic fact for the count; structural inference for its architectural role. |"
          },
          {
            "line": 130,
            "text": "| Tebah / ark typological bridge state | Noah's ark; Moses' ark/basket; `8` souls; Moses as final deliverer | typological note / theological bridge | The Hebrew `tebah` ark motif links the Flood boundary and Moses narrative by typological correspondence. The `8`-generation post-Flood block and the `8` souls saved through Noah's ark provide a theological / typological explanation of the numeric structure, but do not carry the arithmetic burden. |"
          },
          {
            "line": 132,
            "text": "| Shem dual-`100` state | Noah-bound `100`; Arphaxad-bound `100` | Shem `±2` modal state | Shem is `100` at the Flood when bound to Noah's `500 → 600` chronology, and `100` at Arphaxad's birth when bound to Genesis 11:10. Both states are retained, analogous to Terah's `70/130` begetting-state display. |"
          },
          {
            "line": 133,
            "text": "| `16 × 8` expectation / cumulative-Cainan extension state | expected `16 × 8`; actual `12 × 8`; `4 × 138 = 552`; `4854/4856/4858 BC` | structural diagnostic / cumulative comparison | The visible funnel remains `12 × 8`; the idealized `16 × 8` expectation is a diagnostic only. The missing-four extension lands on the MT Cumulative + 2nd Cainan Cainan field when the restored regular Flood Gear rails are extended by `2208 = 16 × 138`. |"
          },
          {
            "line": 138,
            "text": "| Mirror 60-spine / Terah-Cainan death-rail state | `1885n/1878n/1871n BC`; `1670n/1663n/1656n BC`; AD-side reversed mirror labels `AD 1656n/1663n/1670n`; `3540 = 60 × 59`; `1936n BC → 1876n BC → 1816n BC` | table-source support / Mirror corroboration | `File_18` preserves the date labels and arithmetic controls only. `File_16` controls the Nexus interpretation. The constant `3540` requires civil cross-axis arithmetic and reversed endpoint order on the AD side; it is not a table-generation operator. |"
          },
          {
            "line": 144,
            "text": "| `1876 BC` shared year-label state | `1876 BC` | Entry / Call / return / convergence year-label by dependency | In `File_18`, `1876 BC` may mark Entry under MT `430`, Abraham Call / Death of Terah under Sojourn-division paths, or another dependency-controlled convergence label. Do not collapse node-classes. |"
          },
          {
            "line": 153,
            "text": "| SP Ideal / Exclusive comparison | `4200 BC` | legacy uncompressed / harmonic comparison | Does not replace the preferred §3 chain head `4199`; is not generated by the localized Noah/Shem companion rail. |"
          },
          {
            "line": 154,
            "text": "| SP Arphaxad-bound post-Flood state | Shem `2991 BC`; Arphaxad `2891 BC`; subsequent rows | fixed-Gear suffix / ordinary begetting intervals | At held Sojourn, Terah, and Cainan settings, Arphaxad onward does not move with ordinary Gear or inherit the SP Noah/Shem companion rail. |"
          },
          {
            "line": 155,
            "text": "| SP Noah/Shem adjacent field / Shem Superposition | G2 Noah `3493/3492`; G2 Shem `2993/2992`; G1 Shem `2991/2990` | primary / lower companion, with binding named | Only Noah/Shem receive the SP `−1` companion. Ordinal `599+` and conventional cardinal `600` are interval-specific readings. No backward propagation to Adam and no forward propagation into the fixed Arphaxad suffix. See §3.2.1 for paired deaths. |"
          },
          {
            "line": 156,
            "text": "| Flood Gear / event-year state | MT `2460/2458/2456`; native LXX `3240/3238/3236`; SP `3110/3108/3106`, full-430 frame | G3/G2/G1 starts; every close = start−1 | Ordinary three-Gear transport in all three traditions; each start→close is an event span. No Flood companion rail is generated by SP Noah/Shem. See §3.1.4. |"
          },
          {
            "line": 157,
            "text": "| SP Terah dual-lock state | `145`; `205`; `2021 BC`; `1876 BC`; `1951 BC` | textual lifespan / architectural lifespan pair | Author-clarified. SP text gives Terah's official lifespan as `145`, landing death at Abram's call; the architectural `205` mirrors MT/LXX and shows that the same Terah problem remains as a swapped lifespan / begetting-age issue. In SP cumulative tables, `145` remains the official span. |"
          },
          {
            "line": 159,
            "text": "| LXX Regular-Minimum state | `5279 BC`; `3023 BC`; native 2nd Cainan | LXX regular comparison state | Active in §4. Smith is an external LXX reconstruction witness, not the source of the repository interpretation. |"
          },
          {
            "line": 160,
            "text": "| LXX component-wise Lamech reconstruction | `182` restored begetting; `753` attested LXX lifespan; `571` calculated remainder; minimum `3805–3052 BC` | main Regular/Cumulative source selection | `753` is retained as the author-preferred original LXX lifespan; that judgment is distinct from its textual attestation. Only the combined `182/753` biography lacks identified joint attestation. `188` is non-operative; LXX `777` is an MT-derived Appendix B overlay. See §4A. |"
          },
          {
            "line": 161,
            "text": "| LXX Terah / Abraham `2 × 2` variant field | Abraham `1951/2166 BC`; Terah `2021/2081/2236/2296 BC` | independent `+215 Sojourn` and `+60 Terah` variant field | Author-clarified. Abraham has two birth labels because the `+215 Sojourn` state applies from Levi / Joseph back to Abraham. Terah has four birth labels because `+60 Terah` activates at Terah and doubles that two-date field. If restored 2nd Cainan is inserted, 2nd Cainan remains four-position; the eight-position effect begins at Arphaxad / Flood and propagates backward to Adam. |"
          },
          {
            "line": 163,
            "text": "| Regular-localized Shem `±2` state | Noah / Shem binding and qualified cross-Gear comparisons | local regular anomaly | Distinct from coherent Gear transport of other admitted biographies and the Flood. Arphaxad remains fixed under Gear at held variant settings; see §3.1.4. |"
          },
          {
            "line": 164,
            "text": "| Cumulative-propagated Shem `±2` state | `2 + 3 + 2`; 7-year margin | chain-wide cumulative anomaly | Generates cumulative envelopes; do not reduce to the regular-localized anomaly. |"
          },
          {
            "line": 179,
            "text": "| SKL `+30 Apparent Mode` state | `+30`; examples `2936/2886 BC` by dependency; bounded adjacent-macro `690/720/750` comparison | orthogonal apparent-age rail | Apply after Gear selection. Do not collapse with local or macro Gear units. |"
          },
          {
            "line": 180,
            "text": "| SKL local centered `±2` Three-Gear state | absolute `+0/+2/+4`; relative `−2/0/+2`; examples `2908/2858 BC` as selected members | ordinary-year fine-tooth wheel | Printed `+2` rows expose one member only. The full field is active when §D.38 or a local section opens it. |"
          },
          {
            "line": 181,
            "text": "| SKL centered `±720` Three-Gear dilation | `−720/0/+720`; `720 = 2 × 360`; examples `262086/262806 BC` as center/selected member | cosmic years-of-years wheel | Exact `360:1` dilation of the local field. Distinct units; not a floating adjustment. |"
          },
          {
            "line": 195,
            "text": "| `3899 BC` | Creation endpoint / Adam table baseline | MT Minimum-Regular | MT Standard-Normal `4114 BC`; Year-6 `3900 BC`; cumulative Adam `14006 BC` |"
          },
          {
            "line": 196,
            "text": "| `3906–3899 BC` | figurative Creation-week wrapper | MT Minimum-Regular | literal seven-day Creation week by itself |"
          },
          {
            "line": 197,
            "text": "| `3900 BC` | figurative Year-6 / Adam-as-year display | MT Minimum-Regular | endpoint `3899 BC` |"
          },
          {
            "line": 198,
            "text": "| `4114 BC` | Creation endpoint under `+215 Sojourn` | MT Standard-Normal | `3899 BC`; Year-6 anchors in `File_07`; rounded MT `4106 BC` |"
          },
          {
            "line": 199,
            "text": "| `3959 BC` | Terah-only Creation endpoint | MT `+60 Terah` | `3899 BC`; `4114 BC`; `4174 BC` |"
          },
          {
            "line": 203,
            "text": "| `2991/2990 BC` | Shem G1 primary / companion births | SP-local person-station pair | G2 Shem `2993/2992`; Flood start/close pairs; name the Noah-bound or Arphaxad-bound relation |"
          },
          {
            "line": 204,
            "text": "| `2893→2892 BC` | Flood start→close | SP Normal / G2, native frame | Noah/Shem primary→companion; fixed Arphaxad `2891` |"
          },
          {
            "line": 205,
            "text": "| `5279 BC` | LXX Creation endpoint | LXX Regular-Minimum | File_13 LXX actual `5494 BC`; File_54 rounded `5486 BC` |"
          },
          {
            "line": 206,
            "text": "| `5286–5279 BC` | LXX Creation-week wrapper | LXX Regular-Minimum | LXX cumulative Adam `14896 BC` |"
          },
          {
            "line": 207,
            "text": "| `3023 BC` | LXX Regular-Minimum Flood | LXX corrected Lamech state | LXX cumulative Flood `5745 BC` |"
          },
          {
            "line": 208,
            "text": "| `1661 BC` | minimum Entry into Egypt | minimum / Sojourn-division state | `1876 BC` shared year-label; `1843 BC` LXX `33 + 397` by dependency |"
          },
          {
            "line": 227,
            "text": "| `1885–1878 BC` | seven years of Plenty | Joseph / Plenty target window by File_16 dependency | Famine window `1878–1871 BC`; the shared `1878 BC` boundary must not collapse Plenty and Famine into one event |"
          },
          {
            "line": 228,
            "text": "| `1670/1663/1656 BC` | `−215` companion triad to the Plenty / Famine labels | Mirror 60-spine / Terah-Cainan death-rail state | AD-side Mirror labels `AD 1656/1663/1670`; same-order pairing if the constant `3540` is being asserted |"
          },
          {
            "line": 229,
            "text": "| `1936n BC → 1876n BC → 1816n BC` | Terah / regular restored 2nd Cainan death-date rail | Mirror 60-spine / Terah-Cainan death-rail state | a single event-node or identity of Terah and Cainan |"
          },
          {
            "line": 231,
            "text": "| `4391 BC` | lower member of the extended Cainan / Shelah convergence envelope | cumulative restored 2nd Cainan; Daniel 8 / Enochian lower-bound comparison by dependency | regular death at `2091 BC`; minimum Entry `1661 BC`; do not collapse without active vector operator |"
          },
          {
            "line": 232,
            "text": "| `2551–2091 BC` | regular restored 2nd Cainan lifespan member | regular restored 2nd Cainan; `2300` Cainan vector | cumulative Cainan envelope `4858–4851 BC`; the `2336–1876 BC` minimum-span member |"
          },
          {
            "line": 233,
            "text": "| `2336–1876 BC` | regular restored 2nd Cainan minimum lifespan member | regular-Cainan `460` cross-modal symmetry state | MT Entry node-class at `1876 BC`; cumulative `+460` operator; Cainan death-window state |"
          },
          {
            "line": 234,
            "text": "| `3921 BC`; `3011 BC`; `2551 BC` | 1Kenan birth, 1Kenan death, and restored 2nd Cainan birth by dependency | Kenan / Cainan tenfold reinforcement state | ordinary MT Minimum-Regular Kenan row unless Gear 3 / restored Cainan is active |"
          },
          {
            "line": 235,
            "text": "| `6306 BC` | LXX missing-four extension coordinate | LXX Maximum node-label comparison state | LXX Regular-Minimum Creation `5279 BC`; LXX cumulative Adam `14896 BC` |"
          },
          {
            "line": 247,
            "text": "| `262086/262806 BC` | Adam / Alulim center and selected `+720` member | SKL centered `±720` Three-Gear dilation | complementary `261366 BC` macro member; nested local `±2` subteeth; regular Adam rows |"
          },
          {
            "line": 255,
            "text": "| `+60 Terah` | add 60 years backward beginning at Terah | regular variant matrix | Doubles the Abraham `±215` field from two states to four states at Terah and then propagates back toward Adam. Does not affect the Abraham → Levi / Joseph field before Terah or the Aaron-forward fixed epoch. |"
          },
          {
            "line": 256,
            "text": "| `+215 Sojourn` | add 215 years backward where full 430 Egypt position is opened | variant matrix and Entry field | Distinct from Exodus 215 / subordinate Ramesside shift. |"
          },
          {
            "line": 257,
            "text": "| `+275` | `+60 + 215`; also sequential `60 + 155 + 60` display | four-position variant matrix | Preserve both combined and sequential displays. |"
          },
          {
            "line": 258,
            "text": "| `±215` | Sojourn-position fork | Abraham → Levi / Joseph field | Produces two date states for Abraham through Levi / Joseph. Not a generic global adjustment and not identical to `+60 Terah`. |"
          },
          {
            "line": 259,
            "text": "| Shem `±2` | localized bindings in regular; propagated in cumulative | Noah / Shem comparisons; cumulative envelope | Name active mode; do not use localized binding scope to deny ordinary coherent Flood Gears. |"
          },
          {
            "line": 260,
            "text": "| SP Noah/Shem companion | primary minus one | SP Noah/Shem person-stations only | Count the distinction once per admitted local path; no upstream birth shift and no Flood companion. |"
          },
          {
            "line": 261,
            "text": "| Flood start→close | start minus one | each ordinary Gear in MT, LXX, and SP | Event-year boundary, independent of the SP Noah/Shem operator. |"
          },
          {
            "line": 262,
            "text": "| SP inclusive cap capacity | birth−Flood start+1 = birth−Flood close | Adam through Lamech, with declared lifespan count | Inclusive count does not give the nine rows a Noah/Shem companion rail; Noah is excluded from the cap. |"
          },
          {
            "line": 268,
            "text": "| Completed extension | `16 × 138 = 2208` | extension from restored regular Flood Gear rails to cumulative Cainan field | Same-side BC extension only. |"
          },
          {
            "line": 275,
            "text": "| Enochian lower-bound `2730` vector | `4391 − 1661 = 2730`; `2730 = 7.5 × 364` | cumulative envelope to minimum Entry lower-bound where EnvSpread / Enochian state is active | Dependency-controlled by File_12 / File_17 / File_16. The solar companion remains audit-controlled. |"
          },
          {
            "line": 277,
            "text": "| Kenan / Cainan tenfold relation | `1370 = 10 × 137`; `1370 − 460 = 910`; `910 + 460 = 1370` | Cainan-sector support note | Dependency-controlled by Gear 3 / restored-Cainan state. |"
          },
          {
            "line": 282,
            "text": "| SKL `+720` | `2 × 360` | scaled Shem `±2` state | Distinct from local `+2`. |"
          },
          {
            "line": 296,
            "text": "| `70/130` | Terah begetting-age slash-pair | MT regular table | Ordered source display for Terah's dual begetting logic; not a range. |"
          },
          {
            "line": 297,
            "text": "| `2991/2990 BC`; `2391/2390 BC` | SP Shem G1 primary / companion pairs | SP Shem Superposition, native frame | First members pair together, and second members pair together; each lifespan is `600`. Name the binding. G2 is `2993/2992` and `2393/2392`. |"
          },
          {
            "line": 298,
            "text": "| `145 (205)` | SP Terah lifespan pair | SP Terah dual-lock | Textual / architectural pair; preserve both. |"
          },
          {
            "line": 308,
            "text": "| `262086/262806 BC` | SKL +720 rail pair | scaled Shem `±2` | Scale-state pair, not local `±2`. |"
          },
          {
            "line": 310,
            "text": "| `599+` / conventional `600` | ordinal / cardinal counting distinction | SP Noah/Shem local paths | Qualify each interval; not a Flood uncertainty range. Each Gear has an independently typed Flood start→close year. |"
          },
          {
            "line": 319,
            "text": "5. The MT Minimum-Regular, MT Standard-Normal / `+215 Sojourn`, MT `+60 Terah`, and MT `+275` positions are simultaneous variant states, not corrections of one another."
          },
          {
            "line": 320,
            "text": "6. The Abraham → Levi / Joseph `±215` field gives two possible date states. Terah then opens the `+60 Terah` hinge, doubling the field to four states in the normal no-2nd-Cainan Adam-to-Terah field. If restored 2nd Cainan is explicitly inserted, 2nd Cainan through Terah remains four-position, while Arphaxad / Flood through Adam becomes eight-position."
          },
          {
            "line": 324,
            "text": "10. SP Noah/Shem alone receive the adjacent `−1` companion rail. Flood start→close is an independent event-year span within ordinary three-Gear transport in MT, LXX, and SP. SP cap counts are inclusive to Flood start. With other variant settings held, Arphaxad onward remains fixed under Gear and the SP companion mechanism."
          },
          {
            "line": 343,
            "text": "| §1 | Variant mechanism, Pentateuchal Funnel, `137` checksum, bounded cumulative-Cainan extension, and Cainan macro-vector controls | `+60 Terah`; `+215 Sojourn`; `+275`; Shem `±2`; Cainan `+130` / `+460`; `137 = 7 + 130`; `16 × 8` diagnostic; `4 × 138 = 552`; `2300`; `2520`; `2730`; Pentateuchal Funnel state; File_16 dependency |"
          },
          {
            "line": 344,
            "text": "| §2 | MT Regular baseline | MT Minimum-Regular; Kings dual-ledger dependency |"
          },
          {
            "line": 345,
            "text": "| §3 | SP Regular baseline | SP Normal / G2; ordinal/completed local paths; inclusive cap; universal Flood Gears; Noah/Shem companion field and named bindings |"
          },
          {
            "line": 346,
            "text": "| §4 | LXX Regular baseline | LXX Regular-Minimum; Smith source-reconstruction witness; native 2nd Cainan; Abraham / Terah `2 × 2` variant field |"
          },
          {
            "line": 347,
            "text": "| §4A | Common LXX Lamech reconstruction and bounded transmission hypothesis | main `182/753`; cross-Gear `69/529/598`; generated `+6` comparisons; source distinction |"
          },
          {
            "line": 368,
            "text": "| Typological bridge | Noah / Moses `tebah`; `8` souls; Moses as final deliverer | Typological / theological note | Explains meaning but does not create a chronological operator. |"
          },
          {
            "line": 369,
            "text": "| Diagnostic checksum layer | `137 = 7 + 130`; Shem dual-`100`; `16 × 8`; `4 × 138 = 552`; `16 × 138 = 2208` | Structural diagnostic / providential synchronization where invoked | Does not alter the genealogy, does not add four patriarchs, and does not replace the visible `12 × 8` pattern. |"
          },
          {
            "line": 378,
            "text": "| `MT Minimum`; `MT min` | Normalized where needed to `MT Minimum-Regular`; source-history wording retained where the source explicitly explains legacy usage. |"
          },
          {
            "line": 379,
            "text": "| `MT Standard`; `MT +215` | Normalized where needed to `MT Standard-Normal / +215 Sojourn`. |"
          },
          {
            "line": 380,
            "text": "| `Terah +60` | Normalized to `+60 Terah`. |"
          },
          {
            "line": 381,
            "text": "| `Sojourn +215` | Normalized to `+215 Sojourn`. |"
          },
          {
            "line": 384,
            "text": "| `SP Normal`; legacy `Toggle ON` | Preferred `SP Normal / G2`; use interval-specific counting and SP-local Noah/Shem primary/companion labels. Legacy Toggle language does not authorize a whole-chain shift. |"
          },
          {
            "line": 386,
            "text": "| `LXX Minimum` | Normalized to `LXX Regular-Minimum`. |"
          },
          {
            "line": 390,
            "text": "| Comma-form numbers | Normalized to no-comma format, e.g. `6480`, `14466`, `453600`. |"
          },
          {
            "line": 402,
            "text": "Machine Guard [FILE_18 SHEM ±2]:"
          },
          {
            "line": 404,
            "text": "In Regular chronology, the localized Shem `±2` anomaly governs Noah/Shem bindings and qualified endpoint comparisons. Ordinary coherent Gear transport also applies to the Flood and other admitted pre-Flood biographies; see §3.1.4. At held variant settings, Arphaxad onward remains fixed under regular Gear. In Cumulative chronology, the anomaly propagates through the cumulative chain and creates the 7-year margin. Keep these mechanisms and domains distinct."
          },
          {
            "line": 418,
            "text": "Machine Guard [FILE_18 SKL NESTED THREE-GEAR RAILS]:"
          },
          {
            "line": 419,
            "text": "File_11's ordinary Three-Gear field is `+0/+2/+4` in absolute notation and `−2/0/+2` when centered on Gear 2 / Shem. Under the SKL `360:1` scalar, the centered field is `−720/0/+720`. Sumerian A / SKL Short, Sumerian B / SKL Long, `+30 Apparent Mode`, the local and macro wheels, and `+6480` remain distinct states and units. Existing `+2` and `+720` table rows are selected-member displays, not the complete topology; each admitted macro member may carry a nested local `−2/0/+2` subrail only when explicitly opened. No nested subrail creates a new raw table row, source witness, or Primary anchor."
          },
          {
            "line": 425,
            "text": "Machine Guard [FILE_18 TERAH FOUR-POSITION FIELD]:"
          },
          {
            "line": 427,
            "text": "Abraham has two birth states, `1951 BC` and `2166 BC`, generated by the `±215` Sojourn fork. Terah has four birth/death states because `+60 Terah` doubles that field: `2021–1816 BC`, `2081–1876 BC`, `2236–2031 BC`, and `2296–2091 BC`. Do not force a single Terah begetting-age display across all four states. The no-`+60` rows use the `70` begetting-state; the `+60 Terah` rows use the `130` begetting-state. Restored 2nd Cainan may double Arphaxad / Flood through Adam only where explicitly opened; it does not make 2nd Cainan itself eight-position."
          },
          {
            "line": 431,
            "text": "`1876 BC` is a shared year-label. Depending on active state, it may mark Jacob's Entry under MT `430`, Abraham's Call / Death of Terah under Sojourn-division paths, Jacob's return from Haran under LXX `33 + 397` by dependency, or another convergence witness. Do not collapse these node-classes."
          },
          {
            "line": 433,
            "text": "Machine Guard [FILE_18 SP NOAH/SHEM LOCALITY + FLOOD GEAR SEPARATION]:"
          },
          {
            "line": 435,
            "text": "The SP companion operator is primary minus one for Noah/Shem person-stations only. Native G2 Noah is `3493/3492`, Shem `2993/2992`, Noah death `2543/2542`, and Shem death `2393/2392`. G1 Shem `2991/2990` with deaths `2391/2390` remains available under named bindings; only `2991→2891` is the displayed full-100 Arphaxad-bound relation. Do not propagate the companion into Adam through Lamech or Arphaxad onward, and do not transfer it to MT/LXX. Native G2 Lamech is `3545→2893`, `653` inclusive. Flood `2893→2892` is a start→close event pair, not a companion pair. All three traditions retain ordinary Flood Gears and independent one-year Flood spans; §3.1.4 supplies the exact table. LXX is native Cainan ON in that comparison. Keep the G2 `654+654` midpoint to fixed Arphaxad separate from the G1 Lamech-death / Flood-start / Arphaxad coordinate convergence."
          },
          {
            "line": 451,
            "text": "File_18 §4A records exact arithmetic within declared chronological states and an author-favored Key-of-23 crossover hypothesis. Neither harmonic compatibility nor a generated `+6` endpoint proves a historical scribal sequence or a joint `182/753` manuscript. The continuous LXX `3336 → 3267 → 2738 BC` comparison is cross-Gear (`69 + 529 = 598`), not a replacement of Shem's `600`-year lifespan. The MT `3127 → 3058 BC = 69` and `3056 → 2458 BC = 598` are separately located intervals; their relationship must not be presented as one attested continuous MT three-node partition. Gain-transfer, anchored expansion, and whole-biography translation must be distinguished. `188`-based comparison outputs remain non-operative, and applying `188` to the otherwise unchanged birth chain does not preserve its `1656` total."
          },
          {
            "line": 459,
            "text": "The `137` recurrence is a boundary checksum, not a new chronological operator. It may be cited as `7 + 130` where a seven-year completion field and a `130` patriarchal hinge are both active. Do not use `137` to create additional birth-date states for Kohath, Amram, Aaron, or Moses. Do not collapse explicit lifespan `137` values with `7 + 130` begetting-wrapper values unless the active state is named."
          },
          {
            "line": 461,
            "text": "Machine Guard [FILE_18 SHEM DUAL-100 STATE]:"
          },
          {
            "line": 463,
            "text": "Do not force Shem's `100` into a single chronological state. Shem is `100` at the Flood in the Noah-bound / Flood-bound state, and `100` at Arphaxad's birth in the Arphaxad-bound / text-bound state. The repository preserves both as valid modal states, analogous to Terah's `70/130` begetting-state display. Do not use either state to erase the other."
          },
          {
            "line": 483,
            "text": "The Mirror `3540 = 60 × 59` companion is table-source support only. It uses civil cross-axis arithmetic with reversed endpoint order: `1885n BC ↔ AD 1656n`, `1878n BC ↔ AD 1663n`, and `1871n BC ↔ AD 1670n`. Same-order pairing of `1885/1878/1871 BC` with `AD 1670/1663/1656` does not yield a constant `3540`. The Terah / Cainan death rail `1936n BC → 1876n BC → 1816n BC` preserves variant death-date labels only; it does not identify Terah and Cainan as the same node-class and does not create a File_18 proof operator."
          },
          {
            "line": 541,
            "text": "All three manuscript traditions share this fork structure from Adam to Terah's death."
          },
          {
            "line": 545,
            "text": "| Minimum | Neither | — | 3899 BC |"
          },
          {
            "line": 546,
            "text": "| `+60` only | `+60 Terah` | +60 | 3959 BC |"
          },
          {
            "line": 547,
            "text": "| `+215` only | `+215 Sojourn` | +155 | 4114 BC |"
          },
          {
            "line": 548,
            "text": "| Maximum | Both `+60 Terah` and `+215 Sojourn` | +60 | 4174 BC |"
          },
          {
            "line": 551,
            "text": "The `+155` gap occurs because `215 − 60 = 155` when variants are applied sequentially."
          },
          {
            "line": 558,
            "text": "The shift of the SP baseline to `4200 BC` creates literal integer gaps, `301` and `1079`, that differ from the harmonic ideals, `300` and `1080`, by exactly 1 year. These are resolved through Gear 2 and reckoning mechanisms."
          },
          {
            "line": 562,
            "text": "| MT → SP | 301 years | 300 years | Spider Gear `299 → 300`: the gap between SP `4200 BC` and MT Gear 2 `3901 BC` is 299 years. This converts to 300 Enochian years through the Key of 23. |"
          },
          {
            "line": 571,
            "text": "The 299-year solar interval, derived from the 301-year literal gap through Gear 2, generates a specific residue when converted to the 300-year harmonic."
          },
          {
            "line": 587,
            "text": "Gear logic: `File_11`, §3. Exact ratio: `File_17`; legacy 299/300 wording and true-solar display: `File_12`; physical-residue / conceptual residual-display distinction: `File_11`, Appendix B; legacy source also cites `File_28`, §1."
          },
          {
            "line": 597,
            "text": "The primary File_18 pattern is the `12–8–4–2–0` variant-count ladder and its corresponding `8–4–2–0` possible-date countdown. The 27-generation completion, tebah / ark typology, `137` checksum, Shem dual-`100`, `16 × 8` expectation, cumulative-Cainan extension, and 1Kenan / 2nd Cainan reinforcement are subordinate layers. They may support the architecture, but they must not alter the table-source mechanics."
          },
          {
            "line": 602,
            "text": "| Primary variant mechanics | §§1.3.1–1.3.2 | Abraham / Terah / 2nd Cainan boundary and Pentateuchal Funnel. |"
          },
          {
            "line": 604,
            "text": "| Diagnostic checksum and extension | §§1.3.4–1.3.6 | `137`, Shem dual-`100`, `16 × 8`, and cumulative-Cainan extension. |"
          },
          {
            "line": 612,
            "text": "| Adam → Terah's death | Creation to approximately 1816 BC | 4 in the no-2nd-Cainan table state; 8 upstream from Arphaxad / Flood where restored/native 2nd Cainan is active | Full `60 + 155 + 60` matrix; Cainan hinge where named. |"
          },
          {
            "line": 613,
            "text": "| Abraham → Levi / Joseph | 1951–1567 BC, minimum | 2 | `±215` only. |"
          },
          {
            "line": 616,
            "text": "#### 1.3.1 Abraham / Terah / 2nd Cainan variant multiplication"
          },
          {
            "line": 619,
            "text": "From Levi / Joseph back to Abraham, the active field has two possible dates because of the `215`-year Sojourn variant. Terah introduces the next variant, `+60 Terah`, doubling the field from two to four. In the ordinary no-2nd-Cainan regular table, those four positions extend from Terah back to Adam. When the 2nd Cainan hinge is active, the boundary changes: 2nd Cainan himself still has four possible dates, like Terah; Arphaxad / Flood and every patriarch back to Adam absorb the additional 2nd-Cainan hinge and therefore become eight-position."
          },
          {
            "line": 622,
            "text": "This multiplication is not MT-local. MT, SP, and LXX encounter the fork sequence at the same genealogical locations: the Sojourn / Egypt-position `+215` fork, the `+60 Terah` fork, and the 2nd Cainan `+130` boundary. The arithmetic status differs by tradition. MT / SP receive Cainan by restoration when that state is opened. LXX already contains Cainan in its regular baseline, so the LXX form is a native-Cainan boundary state unless a theoretical removal / reinsertion state is explicitly opened."
          },
          {
            "line": 626,
            "text": "| Adam → Arphaxad / Flood | `±215 Sojourn × +60 Terah × restored 2nd Cainan` where opened | eight states | Active only if restored 2nd Cainan is explicitly inserted. Arphaxad is synonymous with the Flood / Ark-exit conception boundary and is the first upstream row to absorb the Cainan hinge. |"
          },
          {
            "line": 627,
            "text": "| 2nd Cainan → Terah | `±215 Sojourn × +60 Terah` | four states | 2nd Cainan, Shelah, Eber, Peleg, Reu, Serug, Nahor, and Terah remain four-position. |"
          },
          {
            "line": 628,
            "text": "| Abraham → Joseph / Levi | `±215 Sojourn` only | two states | Abraham birth `1951/2166 BC`. |"
          },
          {
            "line": 629,
            "text": "| Kohath → Amram | no direct regular-date anchor | zero explicit pivot states | These generations float inside the Sojourn envelope because the repository uses the global `430/215` spans rather than daisy-chaining overlapping lifespans. |"
          },
          {
            "line": 630,
            "text": "| Aaron / Moses onward | none in this table | fixed anchors | Fixed anchors such as `1446 BC` and `1406 BC`; Aaron / Moses are unaffected by the regular Abraham / Terah / 2nd Cainan variant multiplication. |"
          },
          {
            "line": 636,
            "text": "| 2481 BC | 2611 BC | 2151 BC | `+275`; `+60 Terah` and `+215 Sojourn` active |"
          },
          {
            "line": 637,
            "text": "| 2421 BC | 2551 BC | 2091 BC | `+215 Sojourn` active; no `+60 Terah` |"
          },
          {
            "line": 638,
            "text": "| 2266 BC | 2396 BC | 1936 BC | `+60 Terah` active; minimum Sojourn state |"
          },
          {
            "line": 639,
            "text": "| 2206 BC | 2336 BC | 1876 BC | minimum; no `+60 Terah`; no `+215 Sojourn` |"
          },
          {
            "line": 641,
            "text": "Terah begetting-age display:"
          },
          {
            "line": 643,
            "text": "| Terah state | Birth / death | Begetting state | Abraham birth produced |"
          },
          {
            "line": 645,
            "text": "| Minimum, no `+60`, no `+215` | `2021–1816 BC` | 70 | 1951 BC |"
          },
          {
            "line": 646,
            "text": "| `+60 Terah`, no `+215` | `2081–1876 BC` | 130 | 1951 BC |"
          },
          {
            "line": 647,
            "text": "| `+215 Sojourn`, no `+60` | `2236–2031 BC` | 70 | 2166 BC |"
          },
          {
            "line": 652,
            "text": "When the 2nd Cainan hinge is active, the regular-chronology variant mechanics form a structural funnel. The pattern is not only a set of boundary lines and is not local to MT. It aligns the number of generations and the number of possible date states with the four major Pentateuchal narrative arcs as the chronology approaches the fixed Exodus and Conquest anchors. MT, SP, and LXX each come to the same fork points: the Sojourn / Egypt-position `+215` fork, the `+60 Terah` fork, and the 2nd Cainan `+130` boundary."
          },
          {
            "line": 656,
            "text": "| Creation → Flood | Adam through Arphaxad / Flood, 12 generations inclusive | 8 possible dates per patriarch / event where the Cainan hinge is active | Sojourn `±215`; `+60 Terah`; 2nd Cainan `+130`, restored in MT / SP and native or theoretically toggled in LXX |"
          },
          {
            "line": 657,
            "text": "| Flood → Abraham | 2nd Cainan through Terah, 8 generations inclusive | 4 possible dates per patriarch | Sojourn `±215`; `+60 Terah` |"
          },
          {
            "line": 658,
            "text": "| Abraham → Entry into Egypt | Abraham, Isaac, Jacob, Joseph / Levi, 4 patriarchal nodes | 2 possible dates per patriarchal node | Sojourn `±215` only |"
          },
          {
            "line": 659,
            "text": "| Egypt → Conquest / Moses death | Kohath and Amram as 2 floating gap generations; Aaron / Moses fixed downstream | 0 direct regular pivot dates for Kohath / Amram | global Sojourn envelope; fixed `1446 BC` Exodus and `1406 BC` Conquest / Moses-death anchors |"
          },
          {
            "line": 665,
            "text": "| MT | Sojourn / Egypt-position `+215`; `+60 Terah`; restored 2nd Cainan `+130` | Cainan is absent from the ordinary MT baseline and is inserted only when restored 2nd Cainan is explicitly opened. | Do not treat the restored state as the ordinary MT baseline. |"
          },
          {
            "line": 666,
            "text": "| SP | Sojourn / Egypt-position `+215`; `+60 Terah`; restored 2nd Cainan `+130` | Cainan is absent from the ordinary SP baseline and is inserted only when restored 2nd Cainan is explicitly opened. | Preserve SP Terah `145 (205)` and SP Shem Superposition as distinct local states. |"
          },
          {
            "line": 667,
            "text": "| LXX | Sojourn / Egypt-position `+215`; `+60 Terah`; native 2nd Cainan `+130` boundary | Cainan is already present in the LXX baseline. The fork is structural / boundary-based unless theoretical Cainan removal is explicitly opened. | Do not add `+130` to active LXX baseline rows. |"
          },
          {
            "line": 687,
            "text": "| 2nd Cainan → Terah | 8 | Post-Flood block with four possible date states | The count `8` corresponds typologically to the eight souls saved through Noah's ark. |"
          },
          {
            "line": 689,
            "text": "| Kohath → Amram | 2 | Floating Egypt block with zero direct regular pivot dates | The generations float inside the global Sojourn envelope. |"
          },
          {
            "line": 706,
            "text": "The Hebrew `tebah` ark motif connects Noah and Moses: Noah's ark saves eight souls through the waters of judgment, and Moses' ark / basket preserves the single deliverer who will lead Israel through the waters of judgment and deliverance. This typological bridge explains why the `8` and `1` endpoints of the funnel are theologically meaningful. It does not carry the arithmetic burden."
          },
          {
            "line": 732,
            "text": "| Adam → Seth | seven-year Creation-week wrapper plus Adam's begetting age | `7 + 130 = 137` | arithmetic fact under Creation-week state |"
          },
          {
            "line": 733,
            "text": "| Flood / Arphaxad boundary, MT | Noah-bound Shem `100`; Arphaxad born two years after Flood; Arphaxad begets at `35` | `100 + 2 + 35 = 137` | conditional arithmetic fact |"
          },
          {
            "line": 744,
            "text": "Aaron does not directly live to `130`; he dies at `123`. The Conquest / land-rest process supplies the missing seven years as a priestly terminal imprint:"
          },
          {
            "line": 755,
            "text": "#### 1.3.5 Shem dual-`100` state"
          },
          {
            "line": 760,
            "text": "Regular chronology; Shem `±2`; Noah-bound and Arphaxad-bound Shem states."
          },
          {
            "line": 762,
            "text": "Shem carries two valid `100` states."
          },
          {
            "line": 764,
            "text": "| Shem state | Textual basis | Meaning | Handling |"
          },
          {
            "line": 766,
            "text": "| Noah-bound / Flood-bound `100` | Noah is `500` when Shem is born; Noah is `600` at the Flood | Shem is `100` at the Flood | Valid harmonic / structural state |"
          },
          {
            "line": 767,
            "text": "| Arphaxad-bound / text-bound `100` | Genesis 11:10: Shem is `100` when he begets Arphaxad two years after the Flood | Shem is `100` at Arphaxad's birth | Valid textual state |"
          },
          {
            "line": 769,
            "text": "These states are not corrections of one another. They function like the Terah `70/130` begetting-state field: both readings are retained under named modal states."
          },
          {
            "line": 771,
            "text": "The two-year difference is the Shem `±2` binding hinge. In Regular chronology this local binding distinction concerns Noah/Shem; ordinary coherent Flood Gear transport remains separately available (§3.1.4). In Cumulative chronology the anomaly may propagate through the cumulative chain where that state is opened."
          },
          {
            "line": 826,
            "text": "Using the restored regular Flood Gear rails with `+60 Terah` and regular restored Cainan `+130` opened:"
          },
          {
            "line": 860,
            "text": "The same missing-four logic appears in the LXX. LXX Regular-Minimum Creation to Flood is:"
          },
          {
            "line": 884,
            "text": "Regular restored 2nd Cainan under Gear 3; Kenan / 2nd Cainan sector by File_11 dependency."
          },
          {
            "line": 888,
            "text": "In Gear 3, 1Kenan is born at `3921 BC`. Kenan begets his son at age `70`:"
          },
          {
            "line": 944,
            "text": "This agrees with the established Gear-3 Cainan-sector control and reinforces the `7 + 130` checksum at 10x scale:"
          },
          {
            "line": 951,
            "text": "The arithmetic is direct once the Gear-3 restored-Cainan state is opened. The same-name Kenan / Cainan interpretation, the two-lifespan sum `910 + 460 = 1370`, and the 10x `137` reinforcement are structural inference. This note supports the `137` checksum and cumulative Cainan extension but should not be expanded into a separate Cainan-sector proof inside File_18."
          },
          {
            "line": 974,
            "text": "| Enochian lower-bound vector | 4391 BC | −2730 | 1661 BC | minimum Entry lower-bound; EnvSpread / Enochian state required |"
          },
          {
            "line": 1004,
            "text": "| Tradition | Cumulative Shelah / Arphaxad-Cainan boundary envelope | Operator | Historical seven-year target | Handling |"
          },
          {
            "line": 1008,
            "text": "| LXX | 4825–4818 BC | `−2940 = 60 × 49 = 6 × 490` | 1885–1878 BC | seven years of Plenty; comparative table-source support |"
          },
          {
            "line": 1027,
            "text": "This row is collaborative structural evidence for design alignment among MT, SP, and LXX cumulative Shelah fields. It is not a new File_18 table-generation operator. `File_16` controls any Bullseye Protocol use. The direct `+60 Terah` state remains a separate regular-chronology fork that also intersects the `1876 BC` year-label."
          },
          {
            "line": 1031,
            "text": "The Plenty / Famine triad `1885n/1878n/1871n BC` has a `−215` companion triad `1670n/1663n/1656n BC`."
          },
          {
            "line": 1036,
            "text": "1885 − 215 = 1670"
          },
          {
            "line": 1037,
            "text": "1878 − 215 = 1663"
          },
          {
            "line": 1038,
            "text": "1871 − 215 = 1656"
          },
          {
            "line": 1041,
            "text": "When the `−215` triad is placed on the AD side in reversed endpoint order, each civil cross-axis component is `3540 = 60 × 59`:"
          },
          {
            "line": 1043,
            "text": "| BC-side Plenty / Famine label | AD-side `−215` Mirror label | Civil cross-axis span |"
          },
          {
            "line": 1061,
            "text": "The same `60` register also appears in the Terah / regular restored 2nd Cainan death-date rail around `1876n BC`:"
          },
          {
            "line": 1069,
            "text": "The `1936n BC → 1876n BC → 1816n BC` display is a death-date variant rail. It does not identify Terah and Cainan as the same node-class. `File_18` preserves the source values and arithmetic controls; `File_16` controls the Nexus interpretation."
          },
          {
            "line": 1101,
            "text": "   - Adam → Terah: add `60`, `215`, or `275` as needed."
          },
          {
            "line": 1102,
            "text": "   - Abraham → Levi / Joseph: add `215` if using the 430-in-Egypt position."
          },
          {
            "line": 1103,
            "text": "   - Terah: preserve all four states when needed: `2021–1816 BC`, `2081–1876 BC`, `2236–2031 BC`, and `2296–2091 BC`."
          },
          {
            "line": 1106,
            "text": "### 1.5 The Shem `±2` anomaly"
          },
          {
            "line": 1109,
            "text": "Regular-localized Shem `±2` and cumulative-propagated Shem `±2` distinguished."
          },
          {
            "line": 1111,
            "text": "Genesis 11:10 creates a two-year ambiguity at Shem, Arphaxad, and the Flood."
          },
          {
            "line": 1113,
            "text": "- In Regular chronology, this binding anomaly is local to Noah/Shem. Ordinary coherent Gear transport of the Flood and other admitted pre-Flood biographies is separately retained; it does not move the Arphaxad-forward suffix at held variant settings (§3.1.4)."
          },
          {
            "line": 1143,
            "text": "| LXX Regular | Cainan is already in the baseline. `5279 BC` Adam minimum includes his `130` begetting years. No adjustment is needed. |"
          },
          {
            "line": 1144,
            "text": "| MT / SP Regular | To restore Cainan, insert 2nd Cainan by adding the `+130` begetting-age hinge between Arphaxad and Shelah. Shelah and the downstream Terah field remain four-position; Arphaxad / Flood through Adam shift by `+130` and become eight-position where the restored-Cainan state is explicitly opened. MT with Cainan: `3899 + 130 = 4029 BC`. SP with Cainan: `4199 + 130 = 4329 BC`. |"
          },
          {
            "line": 1165,
            "text": "MT Minimum-Regular baseline."
          },
          {
            "line": 1168,
            "text": "Exodus `1446 BC`; Entry into Egypt `1661 BC`, 215 years in Egypt."
          },
          {
            "line": 1171,
            "text": "From the 490d.com table state, subtract `215` years from Adam through Levi to recover this minimum baseline."
          },
          {
            "line": 1173,
            "text": "### 2.1 Creation to Flood: MT Minimum-Regular"
          },
          {
            "line": 1179,
            "text": "| Scale | MT Minimum-Regular, Nisan | Span |"
          },
          {
            "line": 1201,
            "text": "The same dual-scale principle applies at all variant positions: `+60 Terah`, `+215 Sojourn`, and `+275`."
          },
          {
            "line": 1207,
            "text": "| MT Standard, traditional | MT Standard-Normal / `+215 Sojourn` | 4114 BC | `+215 Sojourn` |"
          },
          {
            "line": 1208,
            "text": "| — | MT Minimum-Regular | 3899 BC | None |"
          },
          {
            "line": 1210,
            "text": "The `215`-year difference is the Sojourn variant, 215 years in Canaan before Egypt."
          },
          {
            "line": 1212,
            "text": "Both `3899 BC`, minimum, and `4114 BC`, `+215`, mark the end of Creation Week: the completion of Day 7 / Year 7. The literal seven-day Creation and figurative seven-year Creation converge at these endpoints."
          },
          {
            "line": 1216,
            "text": "| `3899 + 215` | 4114 BC | MT Standard-Normal / `+215 Sojourn` |"
          },
          {
            "line": 1217,
            "text": "| `3899 + 60` | 3959 BC | `+60 Terah` only; also the 4000-to-Christ position by source claim |"
          },
          {
            "line": 1221,
            "text": "When external sources reference MT Creation at `4114 BC`, this corresponds to the MT Standard-Normal / `+215 Sojourn` position in this repository's nomenclature. Always verify which variant position is being used."
          },
          {
            "line": 1223,
            "text": "#### 2.1.3 MT Minimum-Regular table"
          },
          {
            "line": 1237,
            "text": "| Noah | 2843 | 1893 | 950 | 500 |"
          },
          {
            "line": 1240,
            "text": "### 2.2 Post-Flood to Patriarchs: MT Minimum-Regular"
          },
          {
            "line": 1244,
            "text": "| Shem | 2341 | 1741 | 600 | 100 |"
          },
          {
            "line": 1252,
            "text": "| Terah | 2021 | 1816 | 205 | 70/130 |"
          },
          {
            "line": 1254,
            "text": "#### 2.2.1 Noah and Shem `±2` anomaly"
          },
          {
            "line": 1257,
            "text": "Regular-localized Shem `±2`."
          },
          {
            "line": 1259,
            "text": "Genesis 11:10 supplies the two-year distinction used in the regular Noah/Shem binding comparisons. This localized comparison permission does not restrict ordinary coherent Gear transport of the Flood; see §3.1.4. In Cumulative chronology, the `±2` propagates through the chain; see §6 and `File_02`."
          },
          {
            "line": 1263,
            "text": "| Noah | 2843–1893 BC | 2841–1891 BC | Earlier |"
          },
          {
            "line": 1264,
            "text": "| Shem | 2341–1741 BC | 2343–1743 BC | Later |"
          },
          {
            "line": 1266,
            "text": "The literal dates represent the minimum baseline. The idealistic dates represent the alternative reading of Genesis 11:10. Both are valid."
          },
          {
            "line": 1272,
            "text": "| LXX | Noah | 3623–2673 BC | 3621–2671 BC |"
          },
          {
            "line": 1273,
            "text": "| LXX | Shem | 3121–2521 BC | 3123–2523 BC |"
          },
          {
            "line": 1279,
            "text": "| Noah | 3493–2543 BC | 3492–2542 BC |"
          },
          {
            "line": 1280,
            "text": "| Shem | 2993–2393 BC | 2992–2392 BC |"
          },
          {
            "line": 1282,
            "text": "These columns differ by one year and must not be labelled `±2`. The ordinary SP G1 Shem biography `2991–2391` remains the displayed Arphaxad-bound row, distinct from G2 `2993–2393` by two years. §3.2.1 gives all three Gears and the named bindings. MT and LXX do not inherit this SP-only adjacent rail."
          },
          {
            "line": 1285,
            "text": "Axiom definition: `File_00`, Shem `±2`. Entity logic: `File_02`, Shem `±2` anomaly."
          },
          {
            "line": 1287,
            "text": "### 2.3 Patriarchal period: MT Minimum-Regular; `±215` fork begins"
          },
          {
            "line": 1291,
            "text": "| Abraham | 1951 | 1776 | 175 | Call `1876 BC`; `+215 → 2091`. |"
          },
          {
            "line": 1294,
            "text": "| Jacob | 1791 | 1644 | 147 | Entry `1661 BC`; `+215 → 1876`. |"
          },
          {
            "line": 1427,
            "text": "SP Normal / G2, native Sojourn `215`, Terah `+60` OFF, second Cainan OFF."
          },
          {
            "line": 1433,
            "text": "Add `215` to the affected regular dates for the reports’ full-430 comparison: Creation `4414`, Lamech `3760`, Flood `3108→3107`, Arphaxad `3106`. Appendix A distinguishes this current website setting from the older `+275` setting."
          },
          {
            "line": 1436,
            "text": "Qualify each interval as ordinary completed-year subtraction or inclusive endpoint counting. The legacy name `SP Normal / Toggle ON` does not impose one convention on every interval or create a global one-year operator. The legacy SP Ideal / Exclusive `4200` comparison is one above the preferred head `4199`; this numerical relation does not generate the SP-local Noah/Shem companion rail or change upstream birth nodes."
          },
          {
            "line": 1438,
            "text": "The preferred SP head remains exactly `300` years earlier than MT Minimum-Regular: `4199−3899=300`. Creation-week, Adam-Day, and genealogical node classes remain distinct. The superseded `4415 Adam → 4414 Creation` repair is not restored in the preferred chain."
          },
          {
            "line": 1455,
            "text": "| Lamech | 3545 | 2893 | 653 inclusive | 53rd year to primary Noah; full 53 to companion |"
          },
          {
            "line": 1456,
            "text": "| Noah — G2 primary | 3493 | 2543 | 950 | 500 to G2 primary Shem; other bindings in §3.2.1 |"
          },
          {
            "line": 1457,
            "text": "| Noah — G2 companion | 3492 | 2542 | 950 | 500 to G2 companion Shem; other bindings in §3.2.1 |"
          },
          {
            "line": 1474,
            "text": "| Lamech → primary Noah | `3545−52=3493`: 53rd year at the declared annual station. |"
          },
          {
            "line": 1475,
            "text": "| Lamech → companion Noah | `3545−53=3492`: 53 full units. |"
          },
          {
            "line": 1476,
            "text": "| Primary Noah → Flood start | `3493−600=2893`. |"
          },
          {
            "line": 1477,
            "text": "| Companion Noah → Flood start | `3492−599=2893`: ordinal 600th-year boundary, `599+`. |"
          },
          {
            "line": 1478,
            "text": "| Companion Noah → Flood close | `3492−600=2892`; close independently belongs to `2893→2892`. |"
          },
          {
            "line": 1482,
            "text": "| Path | Lamech→Noah | Noah birth | Noah→Shem | Shem birth | Shem→Flood start | Flood start |"
          },
          {
            "line": 1484,
            "text": "| Primary Noah / primary Shem | 53rd year: 52 | 3493 | 500 full | 2993 | 100 full | 2893 |"
          },
          {
            "line": 1485,
            "text": "| Companion Noah / primary Shem | 53 full | 3492 | 500th year: 499 | 2993 | 100 full | 2893 |"
          },
          {
            "line": 1486,
            "text": "| Companion Noah / companion Shem | 53 full | 3492 | 500 full | 2992 | 100th year: 99 | 2893 |"
          },
          {
            "line": 1488,
            "text": "`52+500+100 = 53+499+100 = 53+500+99 = 652`. The Flood therefore lies in Lamech’s `653rd` counted year. The annual coordinates do not supply an otherwise unstated birthday or fractional-year phase. Genesis 7:6 supplies the cardinal age expression; Genesis 7:11 supplies the ordinal 600th-year expression. Their coordination in this SP field is the study’s reconstruction."
          },
          {
            "line": 1494,
            "text": "BJ / Jubilees places Shem’s birth at `2650 BC`, Ham’s at `2648 BC`, and Japheth’s at `2645 BC`. It places Ark preparation at `2550`, Flood start at `2549`, the earth-dry / closing boundary at `2548`, and Arphaxad at `2547`."
          },
          {
            "line": 1496,
            "text": "The retained conditional calculation reads the 601st-year closing boundary after `600` completed units: `2548+600=3148`, yielding a derived BJ Noah station. It gives `3148−2648=500` to Ham and `3148−2549=599` to Flood start. This illustrates interval-specific ordinal/completed reckoning; it does not generate SP’s upstream birth dates or a Flood companion rail."
          },
          {
            "line": 1502,
            "text": "Claim-status: derivative/corroborating structural comparison. BJ retains the following intervals while giving Shem the firstborn chronological position:"
          },
          {
            "line": 1506,
            "text": "| Shem, 1st | 2650 | Ark construction begins | 2550 | 100 years |"
          },
          {
            "line": 1510,
            "text": "Keep birth-position correspondence separate from event correspondence. BJ births plus `345` reach native SP `2995/2993/2990`, selecting G3 primary / G2 primary / G1 companion from the Shem field. In the equalized frame the same birth-position translation is `+560`, reaching `3210/3208/3205`. It preserves BJ’s `2+3` spacing. The ordinary SP upper son-order reconstruction remains Japheth `3210` → Shem `3208` → Ham `3206`, with `2+2` spacing. Birth-order position, named person, and representative status are distinct; Report V and its companion supply the fuller interpretation."
          },
          {
            "line": 1514,
            "text": "For the nine pre-Noah rows Adam through Lamech, native G2 inclusive capacity is `birth−2893+1`, equivalently `birth−2892`. Noah is outside this cap domain."
          },
          {
            "line": 1536,
            "text": "The equivalent closing-boundary calculation does not move their selected deaths to `2892`. The inclusive `+1` counts the endpoint year; it does not give Adam through Lamech a Noah/Shem companion birth rail."
          },
          {
            "line": 1538,
            "text": "For coherent Gear displacement `δ = −2, 0, +2`, transport each selected birth and Flood start together. The capacity stays `(birth+δ)−(2893+δ)+1 = birth−2893+1`; close is independently `2892+δ`. A cap takes the minimum of the current lifespan count and this qualified capacity. Gear carries the current capped lifespan unchanged and does not restore discarded information. This is guarded/source-qualified commutation, with no wider state-count claim."
          },
          {
            "line": 1540,
            "text": "#### 3.1.4 Ordinary Flood Gears, fixed Arphaxad, and the SP midpoint"
          },
          {
            "line": 1542,
            "text": "This table uses the full-430 comparison frame, Terah `+60` OFF, MT/SP second Cainan OFF, and LXX native second Cainan ON. The LXX G2 Creation head is `5494`, consistent with `5494−3238=2256`; Cainan-OFF `5364` must not be paired with native-ON Flood `3238`."
          },
          {
            "line": 1550,
            "text": "Every row has the ladder `G3 start → G2 start → G1 start → G1 close = 2+2+1 = 5`. At this layer LXX is MT `+780`, including Arphaxad. Each Flood close arises from that Gear’s one-year event span, independently of SP Noah/Shem primary→companion. At held Sojourn, Terah, and Cainan settings, regular Arphaxad onward through Moses does not move with Gear; the separately scoped variant mechanisms retain their own permissions."
          },
          {
            "line": 1552,
            "text": "Subtract `215` from this table for the corresponding minimum/native frames. The native SP starts G3/G2/G1 are `2895/2893/2891`, with closes `2894/2892/2890`; fixed Arphaxad is `2891`."
          },
          {
            "line": 1556,
            "text": "| Gear | Native SP Lamech | Equalized SP Lamech | Lifespan count |"
          },
          {
            "line": 1567,
            "text": "### 3.2 Post-Flood to Patriarchs: SP Minimum / Arphaxad-bound suffix"
          },
          {
            "line": 1571,
            "text": "#### 3.2.1 SP Noah/Shem field and named bindings"
          },
          {
            "line": 1573,
            "text": "Each slash-pair below is ordered primary / lower companion. The companion is one year farther forward in time. The rows display ordinary Gear combined with SP-local person-station adjacency; they are not six independently attested source states or a new unrestricted execution generator."
          },
          {
            "line": 1575,
            "text": "| Gear | Noah birth | Noah death | Shem birth | Shem death |"
          },
          {
            "line": 1581,
            "text": "Add `215` for the reports’ equalized dates. Noah’s primary death column carries the inclusive/harmonic qualification and the lower column the ordinary-companion qualification. Matched birth/death endpoints preserve Noah `950` and Shem `600`; matched Noah/Shem births preserve `500`. The mixed G2 companion-Noah / primary-Shem path is `3492−2993=499`, the ordinal 500th-year alternative."
          },
          {
            "line": 1583,
            "text": "The native G2 post-Flood spans are `2893−2543=350` and `2892−2542=350`. The second uses Flood close and Noah’s companion death; it does not type the Flood close as a companion. The cross-pair `2893−2542=351` is not an unqualified `350`."
          },
          {
            "line": 1585,
            "text": "The following bindings preserve the prior usable stations while making their Gears explicit:"
          },
          {
            "line": 1587,
            "text": "| Shem station / binding | Birth BC | Death BC | Qualified relation |"
          },
          {
            "line": 1589,
            "text": "| G2 primary, Noah/Flood comparison | 2993 | 2393 | G2 primary Noah `3493−500=2993`; `2993−100=2893`, Flood start. |"
          },
          {
            "line": 1590,
            "text": "| G2 companion, Noah/Flood comparison | 2992 | 2392 | G2 companion Noah `3492−500=2992`; ordinal `2992−99=2893`, Flood start. |"
          },
          {
            "line": 1591,
            "text": "| G1 primary, Arphaxad-bound | 2991 | 2391 | `2991−100=2891`, fixed Arphaxad; also `3493−502=2991` from G2 primary Noah. |"
          },
          {
            "line": 1592,
            "text": "| G1 companion, Noah-bound comparison | 2990 | 2390 | `3492−502=2990` from G2 companion Noah; it does not replace the full-100 Arphaxad-bound row. |"
          },
          {
            "line": 1594,
            "text": "G2 primary Shem `2993` is `102` from fixed Arphaxad `2891`. These comparisons retain their endpoint roles and bindings. Noah/Shem alone have the full qualified cross-Gear endpoint-comparison permission in this domain; other patriarchs retain coherent-Gear biographies. Qualified Noah↔Flood comparisons are allowed, while the Flood remains an event start/close structure."
          },
          {
            "line": 1596,
            "text": "The post-Flood begetting table selects the G1 primary / Arphaxad-bound Shem row:"
          },
          {
            "line": 1600,
            "text": "| Shem — Arphaxad-bound | 2991 | 2391 | 600 | 100 |"
          },
          {
            "line": 1608,
            "text": "| Terah | 2021 | 1876 | 145, or 205 ideal | 70 |"
          },
          {
            "line": 1615,
            "text": "| Shem | `2991−100=2891`, Arphaxad. |"
          },
          {
            "line": 1622,
            "text": "| Nahor | `2100−79=2021`, Terah. |"
          },
          {
            "line": 1623,
            "text": "| Terah | `2021−70=1951`, Abraham. |"
          },
          {
            "line": 1626,
            "text": "SP Abraham, `1951 BC`, matches MT Minimum-Regular Abraham, `1951 BC`."
          },
          {
            "line": 1628,
            "text": "#### 3.2.2 Terah Dual-Lock: `145` versus `205`"
          },
          {
            "line": 1630,
            "text": "In the SP post-Flood timeline, Terah functions as a dual-harmonic pivot."
          },
          {
            "line": 1637,
            "text": "Both values target Abraham's birth at `1951 BC` and Terah's death at `1876 BC`. The SP text officially contracts Terah's lifespan, `205 → 145`, to land his death on Abram's call at age `75`. Architecturally, however, the `205` state remains visible: the SP has not eliminated the Terah problem so much as shifted it from begetting-age tension to lifespan tension. Therefore the SP `+60 Terah` possibility remains state-valid where opened, while SP cumulative tables retain the official `145` span."
          },
          {
            "line": 1654,
            "text": "### 3.3 Patriarchal period: SP Minimum"
          },
          {
            "line": 1657,
            "text": "Same as MT Minimum-Regular in the Abraham → Levi / Joseph minimum state. Abraham has two birth states, `1951 BC` and `2166 BC`, by the `±215` Sojourn fork. This field is not affected by `+60 Terah` until the Terah boundary."
          },
          {
            "line": 1664,
            "text": "| Jacob | 1791 | 1644 | 147 | Entry `1661 BC`; `+215 → 1876`. |"
          },
          {
            "line": 1681,
            "text": "LXX Regular-Minimum."
          },
          {
            "line": 1690,
            "text": "LXX Regular-Minimum = MT Minimum-Regular + `1380` years."
          },
          {
            "line": 1692,
            "text": "### 4.1 Creation to Flood: LXX Regular-Minimum"
          },
          {
            "line": 1706,
            "text": "| Noah | 3623 | 2673 | 950 | 500 |"
          },
          {
            "line": 1712,
            "text": "### 4.2 Post-Flood to Patriarchs: LXX Regular-Minimum"
          },
          {
            "line": 1716,
            "text": "| Shem | 3121 | 2521 | 600 | 100 |"
          },
          {
            "line": 1721,
            "text": "| Peleg | 2492 | 2153 | 339 | 130 |"
          },
          {
            "line": 1725,
            "text": "| Terah | 2021 | 1816 | 205 | 70/130 state-dependent |"
          },
          {
            "line": 1728,
            "text": "The Terah / Abraham relation is resolved by the author-clarified four-position field. The displayed LXX Regular-Minimum Terah row, `2021–1816 BC`, is the no-`+60 Terah`, no-`+215 Sojourn` minimum row. In that state, Terah begets Abraham at `70`, producing Abraham `1951 BC`. When `+60 Terah` is active, Terah shifts to `2081–1876 BC`; the `130` begetting-state then also produces Abraham `1951 BC`. With the `+215 Sojourn` state active, the corresponding pair is `2236–2031 BC` with begetting-state `70`, producing Abraham `2166 BC`, and `2296–2091 BC` with begetting-state `130`, also producing Abraham `2166 BC`."
          },
          {
            "line": 1730,
            "text": "Therefore Abraham has two birth states, `1951 BC` and `2166 BC`, while Terah has four birth/death states."
          },
          {
            "line": 1732,
            "text": "Author-confirmed LXX table correction (September 2026): the former §4.2 Peleg/Reu/Serug lifespan cells `239/239/230` were copy errors, not manuscript variants. The controlling LXX Regular-Minimum values are `339/339/330`; births remain `2492/2362/2230 BC`, so the corrected deaths are `2153/2023/1900 BC`. Begetting ages remain `130/132/130`. This correction is independent of the Lamech `182/753` source hierarchy."
          },
          {
            "line": 1736,
            "text": "### 4.3 Patriarchal period: LXX Regular-Minimum"
          },
          {
            "line": 1738,
            "text": "Same as MT Minimum-Regular in the Abraham → Levi / Joseph minimum state. Abraham has two birth states, `1951 BC` and `2166 BC`, by the `±215` Sojourn fork. This field is not affected by `+60 Terah` until the Terah boundary."
          },
          {
            "line": 1746,
            "text": "Active state: author-adopted LXX main reconstruction, September 8 2026. `182` is the restored regular begetting input; `753` is the retained attested LXX lifespan in both Regular and Cumulative execution. This supersedes the former regular-`777` / cumulative-`753` dual-locality ruling. Unless specified otherwise, the displays below use the website `+215 Sojourn`, no-`+60 Terah`, native-LXX-Cainan frame. Appendix A retains the minimum-frame conversion. Appendix B preserves the MT-derived LXX `777` overlay, overlap geometry, and lesser corroborations outside the main chronology."
          },
          {
            "line": 1762,
            "text": "| LXX Regular-Minimum | `3805 → 3052 BC`; begetting `182`; lifespan `753` | Noah remains `3623 BC`; Flood remains `3023 BC`. |"
          },
          {
            "line": 1763,
            "text": "| LXX regular `+215` | `4020 → 3267 BC`; begetting `182`; lifespan `753` | Noah remains `3838 BC`; Flood remains `3238 BC`. |"
          },
          {
            "line": 1772,
            "text": "Lamech now dies `29` years before the regular LXX Flood. The selected Methuselah `187` / Lamech `182` birth chain still puts Methuselah's death at the Flood: `187 + 182 + 600 = 969`. No regular birth date, Creation endpoint, Noah biography, Flood anchor, or Cainan/Terah/Sojourn operator is changed by the lifespan decision."
          },
          {
            "line": 1780,
            "text": "The LXX main Lamech death supplies an internal divider between declared Shem endpoints:"
          },
          {
            "line": 1786,
            "text": "598 × 300/299 = 600"
          },
          {
            "line": 1792,
            "text": "Endpoint register: `3336 BC` is the Shem birth on the `3336–2736 BC` biography; `2738 BC` is the death on the alternate `3338–2738 BC` biography. Each matched biography retains `600`. The selected `3336 → 2738` span is therefore a cross-Gear `598` comparison, not Shem's ordinary lifespan. `3267 BC` is the main Lamech death (`4020 − 753`) and is not shifted to manufacture the partition."
          },
          {
            "line": 1800,
            "text": "598 × 300/299 = 600"
          },
          {
            "line": 1803,
            "text": "Here `3127 → 3058` is Enoch's ascension/end-of-life to Noah's standard birth; `3056 → 2458` is the alternate Noah birth to the standard Flood. File_02 §6.2–6.3 controls the latter `598 → 600` configuration. These are two separately located MT intervals; the scalar decomposition of `598` must not invent an intervening MT event or be represented as the same continuous three-node sequence as the LXX display."
          },
          {
            "line": 1805,
            "text": "The proposed crossover is that a Key grammar already visible in MT's Enoch–Noah/Flood field is concentrated in the LXX Lamech–Shem comparison. Shared inherited grammar, partial scribal awareness, or providential synchronization are possible interpretations. Exact arithmetic alone does not decide between them or establish a direction of transmission."
          },
          {
            "line": 1827,
            "text": "| LXX Lamech, native Cainan / no `+60` → Terah firstborn in the `+60` state | 4020 | 2226 | `1794 = 299 × 6` | 4026 |"
          },
          {
            "line": 1828,
            "text": "| LXX Lamech, Cainan OFF / `+60` ON → Sarah | 3950 | 2156 | `1794 = 299 × 6` | 3956 |"
          },
          {
            "line": 1830,
            "text": "All three input spans expand to `1800 = 300 × 6`, gaining `6`. The first LXX route deliberately crosses Terah settings: `4020` belongs to no `+60`, whereas `2226 = 2296 − 70` is the firstborn threshold of the `+60` Terah state. The Sarah alternative uses `3950 = 4020 − 130 + 60`; Sarah remains `2156 BC`. Files 69 §5B.5 and 70 §2.3 control that firstborn/Sarah framework. These are translated realizations of one span mechanism, not automatically independent witnesses."
          },
          {
            "line": 1837,
            "text": "4026 − 1876 = 2150 = 5 × 430"
          },
          {
            "line": 1856,
            "text": "These equations express equal Noah endpoints under different Lamech birth labels, not numerical synonymy of `182` and `188`. The nearby `69 → 75` supplies another possible six-year gain, but moving the whole Lamech biography six years earlier is a gain-transfer, not expansion of that same Shem interval. With Shem's birth fixed at `3336`, literal expansion of `69` to `75` would give death `3261`, not `3273`; the transferred `+6` biography is instead `4026 → 3273`, and its Shem gap is `63`."
          },
          {
            "line": 1858,
            "text": "The non-operative `188` comparison must also preserve path accounting. With Noah fixed, retaining all other begetting intervals moves the earlier chain by six years and changes the Creation-to-Noah total from `1656` to `1662`. With Methuselah's `187`, `187 + 188 + 600 = 975`, which places his `969`-year death six years **before**, not after, the Flood. The distinct `167/188` combination has `167 + 188 + 600 = 955` and a fourteen-year survival excess. Neither execution replaces the main `187/182` reconstruction."
          },
          {
            "line": 1913,
            "text": "| Cumulative Shem `±2` anomaly | Propagates through the entire chain and creates a 7-year margin from lower bound to upper bound. |"
          },
          {
            "line": 1922,
            "text": "`12600` years = `10 × 1260` to Creation."
          },
          {
            "line": 1935,
            "text": "| Adam, Year 6 | 930 | 14006 BC | 14009.5 BC | 14011–14004 BC | 12600 years = `10 × 1260` |"
          },
          {
            "line": 1940,
            "text": "| Jared | 962 | 9454 BC | 9457.5 BC | 9459–9452 BC | Watcher Era, 4600 to Flood |"
          },
          {
            "line": 1944,
            "text": "| Noah | 950 | 6381 BC | 6384.5 BC | 6386–6379 BC | — |"
          },
          {
            "line": 1945,
            "text": "| Shem | 600 | 5431 BC | 5434.5 BC | 5436–5429 BC | 480 + 120 structure |"
          },
          {
            "line": 1955,
            "text": "| Terah | 205 | 2640 BC | 2643.5 BC | 2645–2638 BC | — |"
          },
          {
            "line": 1961,
            "text": "| Amram | 137 | 1663 BC | 1666.5 BC | 1668–1661 BC | Lower `1661` = 215 Entry |"
          },
          {
            "line": 2007,
            "text": "When the comparative SP and LXX cumulative Shelah envelopes are opened by dependency, MT, SP, and LXX all yield seven-year target windows by spans divisible by `60`: MT `60 × 42` to the Famine window, SP `60 × 40` to the Famine window, and LXX `60 × 49 = 6 × 490` to the preceding years of Plenty. This note is structural comparison only and does not alter the §6B table rows."
          },
          {
            "line": 2021,
            "text": "Uses SP lifespans, including Terah 145 and Lamech 653."
          },
          {
            "line": 2029,
            "text": "| Terah | 145 | 2580 BC | 2585–2578 BC | SP specific, 145 |"
          },
          {
            "line": 2069,
            "text": "The `777` cumulative overlay formerly printed here is preserved in Appendix B.2. It shares the Noah endpoint with the `753` chain and must not propagate upward. The LXX Flood's chief cumulative marker remains the death of Methuselah, matching the selected regular `187/182` alignment. The `14901 − 1446 = 13455 = 299 × 45` lock (File_56 dependency) and all main §6D coordinates remain unchanged."
          },
          {
            "line": 2078,
            "text": "Entity logic: `File_02`, Shem `±2` anomaly, Regular and Cumulative distinctions. Axiom definition: `File_00`, localized baseline variants. Overlay locks and deep-time expansions: `File_46` §6A; `File_44` §6A; `File_51b` §7A."
          },
          {
            "line": 2170,
            "text": "The `±2`-year anomaly at Shem scales to `720` years:"
          },
          {
            "line": 2207,
            "text": "| Minimum | 6450 | `6480 − 30`; 3 months of precession under Great Year 25800; `15 × 430`. |"
          },
          {
            "line": 2215,
            "text": "The SKL phrase “24510 years, 3 months and 3.5 days” functions, by source argument, as evidence that the two variants form one system, just as MT, SP, and LXX are complementary witnesses. The `+3 months` links the chronologies through gear-switching."
          },
          {
            "line": 2268,
            "text": "| Shem birth | 5436 | 2550/2580 | `7 × 360 + 30/60` | Day 1, exact |"
          },
          {
            "line": 2272,
            "text": "The `2550/2580` difference reflects leap-month variants, 30/60 years, not imprecision. Both values place Shem exactly at Day 1. `2580 = 36` days of precession. The 360-calendar's 40-year cycle includes 7 leap months."
          },
          {
            "line": 2275,
            "text": "Day 1, Shem: “Let there be Light.” Shem, שֵׁם, “Name,” prefigures Christ as “Light of the World,” John 8:12, and “the Name above every name,” Phil 2:9, by source reading."
          },
          {
            "line": 2296,
            "text": "These fine-tuning mechanisms result from scaling the small biblical `±2` and `+30` states into Sumerian cosmic time. The gear analogy is retained as explanatory language; the argument remains structural inference unless the active rail and dependency are named."
          },
          {
            "line": 2313,
            "text": "| Alalngar | Seth | 36000 years | 233286 |"
          },
          {
            "line": 2316,
            "text": "| Tammuz | Mahalalel | 36000 years | 125286 or 107286 |"
          },
          {
            "line": 2319,
            "text": "| Ubara-Tutu | Noah | 18600 years | 39486 |"
          },
          {
            "line": 2350,
            "text": "| Tammuz → Abraham | `360 × 360` | 129600 years |"
          },
          {
            "line": 2353,
            "text": "| Total SKL span | 453600 years | `1260 × 360` |"
          },
          {
            "line": 2362,
            "text": "| MT Minimum-Regular Adam | SP Normal / G2 Adam | 300 years | `4199 − 3899 = 300` | checks |"
          },
          {
            "line": 2363,
            "text": "| MT Minimum-Regular Adam | LXX Regular-Minimum Adam | 1380 years | `5279 − 3899 = 1380` | checks |"
          },
          {
            "line": 2364,
            "text": "| SP Normal / G2 Adam | LXX Regular-Minimum Adam | 1080 years | `5279 − 4199 = 1080` | checks |"
          },
          {
            "line": 2365,
            "text": "| Entry, minimum | Entry, `+215` | 215 years | `1876 − 1661 = 215` | checks |"
          },
          {
            "line": 2367,
            "text": "| MT Minimum-Regular Adam | MT Standard-Normal Adam | 215 years | `4114 − 3899 = 215` | checks |"
          },
          {
            "line": 2368,
            "text": "| MT Minimum-Regular Adam | MT `+60 Terah` Adam | 60 years | `3959 − 3899 = 60` | checks |"
          },
          {
            "line": 2371,
            "text": "| Entry, `1661 BC` | Exodus, `1446 BC` | 215 years | `1661 − 1446 = 215` | checks |"
          },
          {
            "line": 2372,
            "text": "| Cumulative Creation | Conquest | 12600 years | `14006 − 1406 = 12600` | checks |"
          },
          {
            "line": 2379,
            "text": "| §1.1 Variant matrix | `3899 + 60 = 3959`; `3899 + 215 = 4114`; `3899 + 275 = 4174`; `215 − 60 = 155` | checks |"
          },
          {
            "line": 2382,
            "text": "| §§2–4 Regular tables | Visible birth-to-death lifespans and begetting intervals | mostly check; SP Terah `145 (205)` and LXX Terah / Abraham are resolved as source-state displays within the Terah four-position field |"
          },
          {
            "line": 2384,
            "text": "| §3 SP / BJ relation | `4199 − 3856 = 343`; `2548 + 600 = 3148`; `3148 − 2648 = 500` | checks |"
          },
          {
            "line": 2400,
            "text": "| SP Terah `145 (205)` | `2021 − 1876 = 145` checks; `205` from the same birth row would produce `1816 BC` | Author-clarified as textual `145` plus architectural `205` dual-lock; SP cumulative uses official `145`. |"
          },
          {
            "line": 2401,
            "text": "| LXX Terah / Abraham four-position field | `2021 − 1816 = 205`; `2021 − 70 = 1951`; `2081 − 130 = 1951`; `2236 − 70 = 2166`; `2296 − 130 = 2166` | Resolved by author clarification. The displayed `70/130` begetting-state is state-dependent, not one executable value for the same Terah row. |"
          },
          {
            "line": 2404,
            "text": "| Tammuz → Abraham `360 × 360 = 129600` | Not derivable from the visible Tammuz rows and standard Abraham anchors alone | Preserve as dependency-controlled SKL / Berossus display. |"
          },
          {
            "line": 2405,
            "text": "| Total SKL span `453600 = 1260 × 360` | Checks when the SKL Short Pre-Creation `+720` rail `453606 BC` is active against `6 BC`; not directly from `452886 BC` base rail | Preserve; active `+720` rail should be named. |"
          },
          {
            "line": 2431,
            "text": "| `File_11` | Three-Gear, `299 → 300`, `300/299`, and Residue Protocol controls. |"
          },
          {
            "line": 2440,
            "text": "This appendix records how to convert website tables, 490d.com, to the minimum baseline used in `File_18`."
          },
          {
            "line": 2442,
            "text": "| Website table | Current setting | Adjustment to minimum |"
          },
          {
            "line": 2444,
            "text": "| MT Regular | 430 in Egypt; no `+60 Terah` | Subtract 215. |"
          },
          {
            "line": 2445,
            "text": "| SP Regular | `+60 Terah`; `+215 Sojourn` | Subtract 275 from Adam through Levi. |"
          },
          {
            "line": 2446,
            "text": "| SP Regular, Noah / Shem | Local ordinal/cardinal counting field | Primary / lower companion at each Gear; lower = primary−1 for Noah/Shem only. |"
          },
          {
            "line": 2447,
            "text": "| Flood in MT / LXX / SP | Ordinary G3/G2/G1 plus one event-year per Gear | Each close = start−1; independent of the SP person-station companion rail. |"
          },
          {
            "line": 2448,
            "text": "| LXX Regular | `+60 Terah`; `+215 Sojourn` | Subtract 275. |"
          },
          {
            "line": 2449,
            "text": "| SP-215 hybrid | `+60 Terah` applied | Subtract 60. |"
          },
          {
            "line": 2452,
            "text": "The ordinal `599+` and conventional cardinal `600` readings are reconciled through qualified SP Noah/Shem stations. They do not generate a one-year Flood uncertainty range or shift Adam through Lamech. §3 gives native G2 Flood start→close `2893→2892`, while Arphaxad stays `2891`; add `215` for `3108→3107` and `3106`. The Flood has ordinary three-Gear transport in MT, LXX, and SP. LXX remains native Cainan ON in the full-430 comparison, including Creation `5494`, Flood `3238→3237`, and Arphaxad `3236`."
          },
          {
            "line": 2455,
            "text": "The rewritten website pages supersede the settings above for the live site. Both pages present the three traditions level at the normative state: `+215 Sojourn`, no `+60 Terah`."
          },
          {
            "line": 2457,
            "text": "| Replacement page | Setting | Adjustment to minimum |"
          },
          {
            "line": 2459,
            "text": "| Regular page, MT / LXX / SP tables | `+215`; no `+60`; LXX at the actual `5494` family; Lamech per §4A | Subtract 215. |"
          },
          {
            "line": 2460,
            "text": "| Regular page, SP −215 landing values | no `+60`; native SP Sojourn | None (already minimum-frame). |"
          },
          {
            "line": 2461,
            "text": "| Regular page, SOR section | MT sub-variant, `−220` from the MT `+215` state | `File_20` controls; not a File_18 table state. |"
          },
          {
            "line": 2474,
            "text": "| Minimum | `3805 → 3028` | 3023 | 5 |"
          },
          {
            "line": 2475,
            "text": "| `+215`, no `+60` | `4020 → 3243` | 3238 | 5 |"
          },
          {
            "line": 2481,
            "text": "| Cumulative LXX row | Lifespan | Nisan member | Seven-year start envelope, BC | Status |"
          },
          {
            "line": 2486,
            "text": "Both starts lead to the same Noah envelope:"
          },
          {
            "line": 2496,
            "text": "Thus the `777` overlay overlaps Methuselah's final `24` cumulative years rather than inserting new time before Noah. The unchanged `753` chain preserves `14901 − 1446 = 13455 = 299 × 45` (File_56 dependency) and the §6D `430` alignment. File_46 Appendix A now holds the preserved `8070` twenty-of-years, staged-Flood, and double-expansion examples; its §6A.1–§6A.3 remain routing points only where those overlay instances are concerned."
          },
          {
            "line": 2540,
            "text": "### B.6 Former Flood-Gear-from-above explanation: retained qualification"
          },
          {
            "line": 2542,
            "text": "The previous §4A.6 used the LXX Flood Gears `3240 / 3238 / 3236 BC` (minimum `3025 / 3023 / 3021`) and the `3240 − 1446 = 1794` span, then spoke of advancing the Gear-2 Flood by six years. The exact anchored conversion applies to the `3240` Gear-3 endpoint; it gives `3246`. Applying its gain to Gear 2 is a further cross-Gear gain-transfer, not that same direct anchored expansion. This route is retained only as a qualified subsidiary comparison and is not needed for the main rule or the better-specified §4A.5 comparisons."
          },
          {
            "line": 2548,
            "text": "| File_18 §§2–4, §§6A–6D; File_02 §6.2–§6.3 | Repository chronology inputs, Shem/Noah bindings, cumulative envelopes, and `598 → 600`. |"
          },
          {
            "line": 2549,
            "text": "| File_69 §5B.5; File_70 §2.3 | Terah firstborn `2226 BC` and Sarah `2156 BC`, with explicit Terah-state distinctions. |"
          },
          {
            "line": 2550,
            "text": "| [Regular chronology page](https://490d.com/mt-lxx-sp-sp215-regular-short-chronology-table/) | Public page checked September 8 2026: main `182/753`, Lamech `4020–3267 BC`, and appendix-only LXX `777` are already displayed. The present package supplies a source-hierarchy wording replacement only; no new website edit is claimed deployed. |"
          },
          {
            "line": 2589,
            "text": "Author clarification note 9 — LXX Regular-Minimum versus LXX cumulative source-table state:"
          },
          {
            "line": 2592,
            "text": "Author clarification note 10 — SP locality, ordinary Flood Gears, and ordinal/completed counting:"
          },
          {
            "line": 2593,
            "text": "Superseded in scope by the September 18 2026 author ruling. The SP `−1` companion belongs only to Noah/Shem person-stations; the former upstream-ripple wording is withdrawn. Native G2 Noah `3493/3492` and Shem `2993/2992` give qualified paths to Flood start `2893`; Flood close `2892` comes independently from the event-year span. Lamech `3545→2893` is `653` inclusive. Ordinary Flood Gears apply across MT/LXX/SP, while regular Arphaxad `2891` stays fixed under Gear at held variant settings. G1 Shem `2991/2990` and deaths `2391/2390` remain under the named bindings in §3.2.1. The G2 `654+654` midpoint ends at fixed Arphaxad and remains distinct from the G1 triple coordinate convergence. BJ provides derivative/corroborating structural evidence in the project model; no SP companion operator transfers to MT or LXX."
          },
          {
            "line": 2595,
            "text": "Author clarification note 11 — SP Terah `145 (205)` dual-lock:"
          },
          {
            "line": 2596,
            "text": "Resolved. `145` is the official SP textual lifespan and lands Terah's death at Abram's call. `205` is the architectural lifespan mirroring MT/LXX and showing that the Terah difficulty remains as a swapped lifespan / begetting-age issue rather than disappearing. The SP still permits a `+60 Terah` state where opened, while SP cumulative tables use the official `145` span."
          },
          {
            "line": 2598,
            "text": "Author clarification note 12 — Abraham / Terah four-position field:"
          },
          {
            "line": 2599,
            "text": "Resolved. From Levi / Joseph back to Abraham, events have two possible date states because of the `215`-year Sojourn variant. Terah introduces `+60 Terah`, doubling the field to four: `2021–1816 BC`, `2081–1876 BC`, `2236–2031 BC`, and `2296–2091 BC`. Abraham's birth is therefore `1951 BC` or `2166 BC`, while Terah has four birth/death states. The File_18 LXX Regular-Minimum table now marks Terah's begetting age as `70/130 state-dependent` rather than forcing `130` onto the minimum `2021–1816 BC` row."
          },
          {
            "line": 2602,
            "text": "Resolved. When restored 2nd Cainan is inserted into MT / SP regular chronology, 2nd Cainan himself has four possible date states, not eight. The four 2nd Cainan birth states are `2611/2551 BC` and `2396/2336 BC`, derived from Shelah birth states `2481/2421 BC` and `2266/2206 BC` by adding the `130` begetting-age hinge. The four 2nd Cainan death states are `2151/2091 BC` and `1936/1876 BC`, derived by subtracting the `460` lifespan. The eight-position propagation begins with Arphaxad / Flood and continues back to Adam only when restored 2nd Cainan is explicitly opened. The resulting generational variant-count ladder is `12–8–4–2–0`: Adam through Arphaxad / Flood have eight possible dates; 2nd Cainan through Terah have four; Abraham through Joseph / Levi have two; Kohath and Amram have zero direct regular pivot dates; Aaron / Moses onward remain fixed / unaffected."
          },
          {
            "line": 2605,
            "text": "Resolved. The `12–8–4–2–0` generational variant-count ladder is structurally important and should not be treated merely as boundary-line bookkeeping. When the Cainan hinge is active, it maps onto the Pentateuchal arcs as follows: Creation → Flood corresponds to Adam through Arphaxad / Flood, 12 generations with eight date states; Flood → Abraham corresponds to 2nd Cainan through Terah, 8 generations with four date states; Abraham → Entry into Egypt corresponds to Abraham, Isaac, Jacob, and Joseph / Levi, 4 patriarchal nodes with two date states; Egypt → Conquest / Moses death corresponds to Kohath and Amram as 2 floating no-direct-date generations, with Aaron / Moses fixed downstream. Claim-status: structural inference, with providential synchronization where the theological meaning is invoked."
          },
          {
            "line": 2608,
            "text": "Resolved. The Pentateuchal Funnel is not local to MT. MT, SP, and LXX each encounter the same structural fork sequence at the same genealogical locations: the Sojourn / Egypt-position `+215` fork, the `+60 Terah` fork, and the 2nd Cainan `+130` boundary. The tradition-specific status differs: MT / SP restore Cainan when that state is opened; LXX already includes Cainan in the active baseline and therefore uses the Cainan boundary as native source-table structure unless theoretical removal / reinsertion is explicitly opened. This clarification does not change the variant-count ladder, the `+130` regular Cainan value, the `+460` cumulative Cainan value, or any table anchor."
          },
          {
            "line": 2611,
            "text": "Resolved and focused-pressure-tested. The Pentateuchal Funnel reaches `27 = 3 × 3 × 3` generations from Adam to Moses only when restored/native 2nd Cainan is active: Adam through Arphaxad / Flood = 12; 2nd Cainan through Terah = 8; Abraham through Joseph / Levi = 4; Kohath and Amram = 2 floating generations; Moses = 1 final deliverer generation. Without restored/native 2nd Cainan, the count is `26` and the post-Flood block is `7`, breaking the 8-generation block and the 27-generation completion. In MT / SP, restored 2nd Cainan is therefore required for this pattern. In LXX, 2nd Cainan is native and no additional `+130` is applied. The tebah / ark connection between Noah and Moses is retained as a typological / theological note explaining the meaning of the `8` and `1` endpoints, not as an arithmetic operator. This secondary generation-count pattern must not overshadow the primary `12–8–4–2–0` variant-count ladder or the 8-date / 4-date / 2-date / 0-date mechanics."
          },
          {
            "line": 2619,
            "text": "Audit note 15 — Tammuz → Abraham `129600`:"
          },
          {
            "line": 2620,
            "text": "The §7.9 key-harmonic row `Tammuz → Abraham = 360 × 360 = 129600 years` is not derivable from the visible Tammuz rows and the standard Abraham anchors alone. Recommended handling: preserve as `File_34`-controlled SKL / Berossus material unless a later File_34 revision opens a more specific derivation."
          },
          {
            "line": 2622,
            "text": "Audit note 16 — Total SKL span `453600`:"
          },
          {
            "line": 2623,
            "text": "The §7.9 row `Total SKL span = 453600 = 1260 × 360` checks when the SKL Short Pre-Creation `+720` rail `453606 BC` is active against `6 BC`, because `453606 − 6 = 453600`. It is not produced directly from the base rail `452886 BC`. Recommended handling: preserve and name the active `+720` rail."
          },
          {
            "line": 2633,
            "text": "4. Tammuz → Abraham `129600` remains `File_34`-controlled because it is not derivable from the visible Tammuz rows and standard Abraham anchors alone."
          },
          {
            "line": 2662,
            "text": "## Revision Log — September 18 2026 bounded SP / Flood-Gear correction"
          },
          {
            "line": 2665,
            "text": "- Scope: SP regular rows, named Noah/Shem bindings, relevant state/display/operator tables and Machine Guards, §2.2.1 comparison labels, §3, Appendix A, and clarification note 10. Unrelated table systems remain inherited."
          },
          {
            "line": 2666,
            "text": "- Numerical correction: native G2 Flood start/close `2892→2891` replaced by `2893→2892`; selected capped deaths of Jared/Methuselah/Lamech use `2893` with inclusive counts `847/720/653`. Noah `3493/3492` and deaths `2543/2542` are correctly ordered primary/companion. Creation `4199`, Lamech birth `3545`, and Arphaxad `2891` are retained."
          },
          {
            "line": 2667,
            "text": "- Mechanism correction: distinguish cross-tradition Flood Gears and event-year boundaries from the SP-only Noah/Shem `−1` companion. Withdraw whole-chain toggle/ripple language; retain interval-specific ordinal/completed readings and the qualified older Shem stations."
          }
        ]
      },
      "literal_occurrences": {
        "2832": [],
        "5890": [],
        "5290": [
          1997
        ],
        "LXX_OFF": [],
        "600": [
          132,
          155,
          297,
          310,
          390,
          451,
          766,
          1244,
          1476,
          1477,
          1478,
          1488,
          1496,
          1581,
          1600,
          1716,
          1772,
          1786,
          1792,
          1800,
          1803,
          1858,
          1922,
          1935,
          1940,
          1945,
          2313,
          2316,
          2319,
          2350,
          2353,
          2372,
          2384,
          2404,
          2405,
          2452,
          2548,
          2619,
          2620,
          2622,
          2623,
          2633
        ]
      },
      "interpretation": "Search results identify review candidates; absence is not an automated proof about source meaning."
    },
    {
      "source": "File_09.md",
      "total_lines": 2358,
      "candidate_lines": {
        "exact_construction": [],
        "candidate_rule": [
          {
            "line": 8,
            "text": "Risk level: High-risk Final source; new foundational cumulative Creation–Cainan–Enoch substrate; protected inherited proof regions retained; no blocking arithmetic, state, dependency, structural, or publication-source defect identified."
          },
          {
            "line": 9,
            "text": "Finalization status: Complete August 19 2026 by explicit author instruction. Pass 0, Pass 1A, Pass 1B, Independent Pass 2 Verification, the combined pressure test, and focused finalization-diff verification are complete. Finalization changed only status, workflow framing, and revision records; no proof equation, coordinate table, operator, node-class, dependency boundary, or argument conclusion changed. The bounded post-Final audit closure corrects the discussion-record typo `+2+5+2` to the already controlled `+2+3+2` cumulative Creation envelope and removes the obsolete quarantine only; no proof-bearing arithmetic changes."
          },
          {
            "line": 13,
            "text": "Verification status: Complete. The primary suite verifies `473/473` arithmetic, coordinate, dependency, protected-region, non-collapse, source-equation, and structural checks; the independently constructed secondary suite verifies `380/380`, including the approved `215/215` arithmetic ledger, `53/53` additional pressure-arithmetic checks, `8/8` adversarial substitutions, and `127/127` simple numeric equalities. No proof-bearing arithmetic correction was required. Two bounded argument-control clarifications distinguish (1) generated relations from independently controlled shared endpoints and (2) scalar partition from coordinate execution; one blank table separator was repaired mechanically before Finalization. The post-Final audit closure was focused-verified as a terminology/audit correction: the obsolete quarantine guard and active unresolved-state language were removed, the controlled `+2+3+2` state was preserved, and no executable arithmetic row changed."
          },
          {
            "line": 14,
            "text": "Pressure-test status: Combined pre-Finalization pressure test complete August 19 2026. Two independently constructed verification harnesses re-executed the arithmetic, coordinate generation, protected regions, dependency boundaries, state firewalls, adversarial substitutions, and Markdown structure: primary semantic/structural suite `473/473 PASS`; secondary first-principles ledger suite `380/380 PASS`. Focused finalization-diff verification confirms that Finalization altered only permitted status and workflow framing. The bounded `+2+5+2 → +2+3+2` audit closure received focused diff, guard-inventory, arithmetic-ledger, and Markdown-structure verification; no new full post-final pressure test is claimed."
          },
          {
            "line": 16,
            "text": "Primary domain: Cumulative; Comparative; Prophetic; Calendar; Theological; Mirror by inherited proof; Genealogical interface by downstream dependency"
          },
          {
            "line": 17,
            "text": "Traditions: MT cumulative; SP cumulative; BJ / Jubilees by hermeneutical dependency; Enochian; NT / Luke and Matthew only by downstream comparison"
          },
          {
            "line": 19,
            "text": "Primary and dependency-controlled anchors: 4115t/4114n BC; AD 1406t/1407n; 1407t/1406n BC; 14041–14034 BC; 14011–14004 BC; 14471–14464 BC; 5296–5289 BC; 4836–4829 BC; 4858–4851 BC; 4398–4391 BC; 8132–8125 BC; 1859 BC; 1782 BC; 1486 BC; 1446 BC; 1406–1399 BC; 1296 BC"
          },
          {
            "line": 25,
            "text": "Major claim-status labels: source-retained chronology datum; author-clarified chronology datum; arithmetic fact; derived coordinate; generated companion envelope; carrier-equivalent duration; structural inference; same-side reciprocal geometry; shared-tradition evidence; ancient hermeneutical warrant by dependency; theological note; Mirror coordinate-completion; Mirror source-label; dependency-controlled; audit note"
          },
          {
            "line": 26,
            "text": "Revision basis: 490d Repository Style Guide v2.5; Project Procedures v3.5; Restart Capsule v11.42; State_Vocabulary_Register v1.42; prior Final File_09 baseline; `File_09.Pass_0_Protected_Contradiction_Arithmetic_Dependency_Report.md`; `File_09.Combined_Independent_Pass_2_Pressure_Test_Report.md`; current File_18, File_22, File_63, File_68, and File_69 controls; File_14 and File_53 claim-hierarchy controls; author discussion through August 19 2026; author-invoked Finalization August 19 2026."
          },
          {
            "line": 42,
            "text": "| `File_16` | Controls regular `+130` versus cumulative `+460` Cainan states, the `1876 BC` Nexus, Cainan macro-vector, dependency-boundary precedent, and Mirror / civil firewalling. |"
          },
          {
            "line": 80,
            "text": "Arithmetic facts and source-retained chronology data carry the base layer of `File_09`. Structural inferences explain how the checked spans interlock. Theological notes explain why a structure matters but do not replace arithmetic or dependency control. Luke-related comparative claims are endpoint-qualified: File_68 controls the corresponding-boundary `76` state and File_69 the full-outer `77` state. Both remain structural inference and shared-tradition evidence by dependency, not proof of direct literary dependence."
          },
          {
            "line": 93,
            "text": "| Cumulative MT tripartite state | Creation → Shem; Flood → Abraham; Abraham → Conquest | cumulative epoch structure | Source-retained. Endpoints remain dependency-controlled by `File_18`, §6A and `File_22`. |"
          },
          {
            "line": 94,
            "text": "| Creation → Shem state | 175 Jubilees | cumulative Creation-to-Shem span | Source-retained chronology datum. Shem is a cumulative endpoint / boundary node in this section. Do not substitute a regular Shem birth or death state unless a dependency opens it. |"
          },
          {
            "line": 95,
            "text": "| Flood → Abraham state | 2401 years | cumulative Flood-to-Abraham span | Source-retained chronology datum. Flood and Abraham node-classes remain dependency-controlled. |"
          },
          {
            "line": 96,
            "text": "| Abraham → Conquest / Jacobean Completion state | 21 Jubilees; `1029`; `7 × 147` | Abrahamic promise-to-Conquest completion | Source-retained chronology datum plus structural inference. The `147` value invokes Jacob’s lifespan as Jubilee standard by dependency through `File_04` and `File_22`. |"
          },
          {
            "line": 97,
            "text": "| SP cumulative square state | `12100 = 110 × 110` | SP cumulative square | Arithmetic fact inside SP cumulative state. This is SP cumulative, not SP regular chronology and not cumulative MT unless a dependency explicitly links them. |"
          },
          {
            "line": 98,
            "text": "| Creation endpoint phase-pair state | `4115t/4114n BC` | MT Standard-Normal Creation-week endpoint pair | Author-clarified by dependency: the seven years of Creation may be viewed Tishri-to-Tishri and/or Nisan-to-Nisan. The pair is not collapsed into unsuffixed `4114 BC`. |"
          },
          {
            "line": 110,
            "text": "| Plague-period phase-pair example | `1447t/1446n BC → AD 1446t/1447n` | example of the generic suffix-inversion rule by dependency | Source-control example only in `File_09`. The plague-period pair is not a new File_09 anchor. It illustrates that `AD 1446n/1447t` would not preserve the `.5` relation and must not replace the phase-resolved Mirror display. |"
          },
          {
            "line": 113,
            "text": "| MT Standard-Normal Creation endpoint dependency state | 4114 BC source shorthand | Creation endpoint / Eden-side anchor | Source-retained chronology datum by dependency. In the `5520` harmonic it must be expanded to `4115t/4114n BC` when the phase-resolved Mirror state is active. |"
          },
          {
            "line": 114,
            "text": "| Priestly conversion state | `5520 × 25/23 = 6000` | Priestly Key-of-23 conversion display | Arithmetic fact under exact `25/23`: `5520 ÷ 23 = 240`; `240 × 25 = 6000`. |"
          },
          {
            "line": 118,
            "text": "| Jacob death state | 1859 BC | Jacob death under the standard `+215` Jacob state | Source-retained chronology datum by dependency. Do not collapse with MT Minimum Jacob death or LXX `−33` Jacob death states. |"
          },
          {
            "line": 119,
            "text": "| Levi death state | 1782 BC | Levi death under the `+215` Levi death state | Source-retained chronology datum by dependency. Do not collapse with the LXX `−33` Levi death state or with Jacob’s death. |"
          },
          {
            "line": 121,
            "text": "| NT / Luke endpoint-qualified comparative state | File_68 corresponding-boundary `76`; File_69 full-outer `77` | comparative genealogy / heptadic harmonic | The local Jacob–Levi `77` may compare with File_69’s full-outer `77`; File_68’s corresponding-boundary count remains `76`. No direct-dependence claim is made. |"
          },
          {
            "line": 123,
            "text": "| Cainan macro-vector dependency state | `4851 → 2551 = 2300`; `4391 → 2091 = 2300`; `4398–4391 → 1878–1871` by `2520`; `4391 → 1661` by `2730`; `4396 → 586` through `1260 → 1290 → 1260` | cumulative-to-regular Cainan / Nexus support | `File_09` registers the cumulative architecture dependency only. `File_16` controls the Nexus proof and Category B classification; `File_18` supplies the source table values. The inclusive `2307` companion and solar comparison remain audit-controlled. |"
          },
          {
            "line": 124,
            "text": "| Danielic 2300-cycle state | `7 × 2300`; `7.5 × 2300`; `15870`; `16100`; `17250` | Danielic Creation-cycle display | Arithmetic facts under exact operators. Endpoints remain dependency-controlled. |"
          },
          {
            "line": 125,
            "text": "| Danielic “Mirror” source-label state | The `7 × 2300` Mirror | local cycle / Mirror display label | Preserved as Mirror source-label / dependency-controlled terminology. It is not Protocol 1 or Protocol 2 Mirror unless a later dependency explicitly opens that protocol. |"
          },
          {
            "line": 126,
            "text": "| Prophetic conversion state | `15870` solar years → `16100` Prophetic | Prophetic-cycle conversion display | Arithmetic fact under `70/69`: `15870 ÷ 69 = 230`; `230 × 70 = 16100`. |"
          },
          {
            "line": 127,
            "text": "| Priestly Danielic conversion state | `15870` solar years → `17250` Priestly | Priestly-cycle conversion display | Arithmetic fact under `25/23`: `15870 ÷ 23 = 690`; `690 × 25 = 17250`. |"
          },
          {
            "line": 157,
            "text": "| Related Repository Files | Identifies controlling sources, proof burdens, and downstream boundaries | dependency tracking |"
          },
          {
            "line": 160,
            "text": "| §2 | Records the SP cumulative square | SP cumulative; `110 × 110`; endpoint dependency |"
          },
          {
            "line": 165,
            "text": "| §6 | Routes source data, arithmetic controllers, birth-law witnesses, carrier controls, and downstream syntheses | dependency index |"
          },
          {
            "line": 166,
            "text": "| §7 | Retains inherited audit notes and records the new non-collapse and unresolved-item controls | audit / dependency control |"
          },
          {
            "line": 175,
            "text": "| 4114 BC | compressed source shorthand for the Eden-side anchor | MT Standard-Normal Creation endpoint dependency state | full phase-resolved pair when §3 is active |"
          },
          {
            "line": 189,
            "text": "| 1447t/1446n BC → AD 1446t/1447n | plague-period phase-pair example | generic Mirror suffix-inversion example by dependency | `AD 1446n/1447t`; wilderness death pair; Conquest-side pair unless state is named |"
          },
          {
            "line": 194,
            "text": "| 6000 | Priestly-converted display value | `25/23` conversion state; Theological note field | civil-year span or unconverted solar span |"
          },
          {
            "line": 198,
            "text": "| 5289 BC | terminal member of restored cumulative 2nd Cainan Flood Week; Flood / Arphaxad-side boundary label | Arphaxad-Jacob arc | base cumulative Flood `4836 BC`; restored cumulative Flood Week opening `5296 BC`; ordinary Arphaxad begetting row unless dependency opens it |"
          },
          {
            "line": 199,
            "text": "| 1859 BC | Jacob death | standard Jacob `+215` death-state by dependency | Jacob Entry; Jacob birth; LXX `−33` Jacob death; MT Minimum Jacob death |"
          },
          {
            "line": 205,
            "text": "| 16100 | Prophetic converted cycle value | Danielic Prophetic conversion state | date anchor; Priestly `17250` state |"
          },
          {
            "line": 206,
            "text": "| 17250 | Priestly converted cycle value | Danielic Priestly conversion state | date anchor; Prophetic `16100` state |"
          },
          {
            "line": 262,
            "text": "21. The cumulative chronology treats the **seven-year week as the primary object**. The balanced/default whole-year anatomy is `2+3+2`; Gear-dependent admissible orderings also include `2+2+3` and File_63's distinct `3+2+2` Day-1/Day-4/Day-6/week-close cell. Superimposing the whole-year boundary possibilities gives the finer boundary refinement `2+1+1+1+2=7`. These are state-qualified decompositions of one seven-year object, not four simultaneous arithmetic operators. The Tishri/Nisan `.5` phase remains a separate calendrical layer."
          },
          {
            "line": 283,
            "text": "Cumulative MT, SP cumulative, and regular chronology are distinct. Do not use a regular Creation, Flood, Abraham, Jacob, Levi, or Conquest state to replace a cumulative state unless the active section states the conversion and dependency."
          },
          {
            "line": 450,
            "text": "Machine Guard [FILE_09 CAINAN MACRO-VECTOR DEPENDENCY]:"
          },
          {
            "line": 452,
            "text": "The Cainan macro-vector may be cited only with its active dependency. `File_18` supplies the cumulative and regular Cainan table values; `File_16` controls the Nexus proof through `2300`, `2520`, `2730`, and `1260 → 1290 → 1260`. Do not treat `2307` or solar comparison material as active File_09 operators."
          },
          {
            "line": 456,
            "text": "`5289 BC` is the terminal member of the restored cumulative 2nd Cainan Flood Week, `5296–5289 BC`. The source label “Flood / Arphaxad” is preserved as a combined Flood Week terminal / Arphaxad-side boundary label. Do not treat it as an ordinary regular Arphaxad begetting row unless a controlling dependency explicitly opens that row."
          },
          {
            "line": 464,
            "text": "The phrase `7 × 2300 Mirror` is preserved as source terminology for the Danielic cycle display. It is not Protocol 1 Mirror, Protocol 2 Mirror, civil cross-axis arithmetic, 10x scaling, or inverse-number reversal unless a later dependency explicitly opens that protocol."
          },
          {
            "line": 526,
            "text": "The local Jacob-to-Levi extension remains exactly `77` years. Downstream Lukan counts are endpoint-qualified: File_68 controls `76` corresponding-boundary carrier cells; File_69 controls the full-outer `77` state. Do not use an unqualified “Luke 77 generations” statement, collapse the two counts, or infer direct literary dependence."
          },
          {
            "line": 530,
            "text": "The Sabbath-rest reading in §3 explains the theological meaning of the `6000`-year Priestly conversion. It must not replace the arithmetic operator, endpoint state, phase-pair state, or civil-span guard."
          },
          {
            "line": 539,
            "text": "| Creation → Shem | `175 × 49` | `8575` | Arithmetic fact; endpoints dependency-controlled. |"
          },
          {
            "line": 540,
            "text": "| Flood → Abraham | `2401 = 49 × 49` | `2401` | Arithmetic fact; endpoints dependency-controlled. |"
          },
          {
            "line": 543,
            "text": "| SP cumulative square | `110 × 110` | `12100` | Arithmetic fact; SP endpoints dependency-controlled. |"
          },
          {
            "line": 554,
            "text": "| Priestly conversion, Conquest harmonic | `5520 × 25/23` | `6000` | Arithmetic fact. |"
          },
          {
            "line": 561,
            "text": "| Danielic Prophetic conversion | `15870 × 70/69` | `16100` | Arithmetic fact. |"
          },
          {
            "line": 562,
            "text": "| Danielic Priestly conversion | `15870 × 25/23` | `17250` | Arithmetic fact. |"
          },
          {
            "line": 567,
            "text": "All locally executable arithmetic statements in the revised source check under their stated or guarded operators after the author decisions. The prior `5520` issue is resolved by phase-resolved civil cross-axis component checks, not by a raw unsuffixed coordinate sum. No theological claim or cross-file dependency is changed."
          },
          {
            "line": 614,
            "text": "| Source-retained chronology datum | A date, span, or target-state preserved from the source or a controlling dependency where `File_09` does not locally re-prove the full table row. |"
          },
          {
            "line": 618,
            "text": "| Shared-tradition evidence | Comparative heptadic or Lukan material preserved by dependency without claiming direct literary dependence. |"
          },
          {
            "line": 619,
            "text": "| Theological note | The six-days-to-seventh-day Sabbath-rest reading attached to the `6000`-year Priestly conversion. |"
          },
          {
            "line": 622,
            "text": "| Dependency-controlled | Material retained because another file supplies the endpoint table, source row, or broader proof. |"
          },
          {
            "line": 628,
            "text": "| Ancient hermeneutical warrant by dependency | BJ / Jubilees evidence that ancient interpreters applied Adam–Eve chronology to the purification laws; `File_20` and `File_53` control the textual claim. |"
          },
          {
            "line": 636,
            "text": "`File_09` argues by layering source-retained cumulative data, arithmetic facts, structural inferences, theological meaning, and dependency-controlled comparative claims."
          },
          {
            "line": 640,
            "text": "| Source-retained chronology data | Preserves the compressed source architecture: tripartite epochs, SP square, Conquest harmonic, Arphaxad-Jacob-Levi arc, Danielic Cainan cycles. | Retained, but missing endpoints remain dependency-controlled. |"
          },
          {
            "line": 644,
            "text": "| Theological note | Interprets the `6000` Priestly conversion as 6 Days leading to the 7th Day of Rest. | Preserved; does not carry arithmetic burden. |"
          },
          {
            "line": 645,
            "text": "| Shared-tradition evidence | Places the local `77` Levi extension beside the endpoint-qualified File_68 `76` and File_69 full-outer `77` Lukan states. | Comparative only; no direct-dependence claim. |"
          },
          {
            "line": 647,
            "text": "| Mirror source-label | Preserves “`7 × 2300` Mirror” as local terminology. | Not Protocol 1, Protocol 2, civil Mirror arithmetic, or inverse-number logic unless a future dependency opens that exact protocol. |"
          },
          {
            "line": 648,
            "text": "| Dependency-controlled proof | Keeps full endpoint tables in `File_18`, `File_16`, `File_22`, and related files. | Do not infer missing endpoints from factorization alone. |"
          },
          {
            "line": 671,
            "text": "- the local Jacob–Levi `77` remains exact, while downstream Luke wording is endpoint-qualified as File_68 corresponding-boundary `76` and File_69 full-outer `77`;"
          },
          {
            "line": 676,
            "text": "- the internal Day-1/Day-4/Day-6/week-close `3+2+2` cell remains distinct by File_63 dependency;"
          },
          {
            "line": 693,
            "text": "Creation, Shem, Flood, Abraham, and Conquest function here as cumulative architecture nodes. This section does not open ordinary regular biography rows or regular Flood / Creation endpoint rows unless a dependency supplies them."
          },
          {
            "line": 697,
            "text": "| Creation → Shem | 175 Jubilees | `175 × 49 = 8575` | Source-retained chronology datum; arithmetic fact; endpoints dependency-controlled. |"
          },
          {
            "line": 698,
            "text": "| Flood → Abraham | 2401 years | `2401 = 49 × 49` | Source-retained chronology datum; arithmetic fact; endpoints dependency-controlled. |"
          },
          {
            "line": 725,
            "text": "The Jacobean Completion claim belongs to the Abraham → Conquest cumulative state. It does not convert Jacob’s own biography row into the Abraham → Conquest span. The arithmetic fact supports the structural inference; the structural inference does not replace the endpoint dependency."
          },
          {
            "line": 727,
            "text": "Dependency note:"
          },
          {
            "line": 728,
            "text": "The endpoints for Creation → Shem, Flood → Abraham, and Abraham → Conquest remain dependency-controlled until `File_18`, §6A and `File_22` supply or confirm the cumulative table rows. This file does not infer missing endpoints."
          },
          {
            "line": 736,
            "text": "The `12100` square is an SP cumulative structure. It is not an SP regular chronology row and not an MT cumulative row unless a dependency explicitly relates the states."
          },
          {
            "line": 740,
            "text": "| 12100 years | `110 × 110` | `110 × 110 = 12100` | Arithmetic fact; source-retained SP cumulative square; endpoints dependency-controlled. |"
          },
          {
            "line": 743,
            "text": "The square expression may support SP cumulative architecture once the endpoints are supplied. In this file, the square itself checks arithmetically, but the endpoint proof remains dependency-controlled."
          },
          {
            "line": 745,
            "text": "Dependency note:"
          },
          {
            "line": 746,
            "text": "The source does not state the SP cumulative square endpoints. Endpoint identification remains dependency-controlled by `File_18`, §6C or another SP cumulative table dependency."
          },
          {
            "line": 871,
            "text": "| Priestly conversion | `5520 × 25/23` | `6000` | Arithmetic fact under exact `25/23`. |"
          },
          {
            "line": 884,
            "text": "The six-days-to-seventh-day reading is preserved as theological interpretation of the `6000`-year Priestly conversion. It does not replace the stated phase-resolved Mirror operator or target-state."
          },
          {
            "line": 1551,
            "text": "By File_68 dependency, the full Jacob closing envelope is `1866–1859 BC`:"
          },
          {
            "line": 1564,
            "text": "`1859 BC` remains Jacob death under the standard `+215` state. `1866 BC` is opened only as the dependency-controlled companion member and is not promoted to a new File_09 raw row."
          },
          {
            "line": 1591,
            "text": "`1782 BC` is Levi death under the `+215` Levi death state by dependency. It is not a second Jacob death date and not a Conquest date."
          },
          {
            "line": 1596,
            "text": "| Lukan endpoint comparison | File_68 controls `76` corresponding-boundary cells; File_69 controls the full-outer `77` state. | the local Jacob–Levi interval remains `77` | Structural inference; endpoint-qualified shared-tradition evidence; no direct-dependence claim. |"
          },
          {
            "line": 1608,
            "text": "The source’s “validates” language is controlled as structural inference and shared-tradition evidence. The local fact is the Jacob–Levi `77`-year extension. The Luke-related claim is endpoint-qualified: it may compare with File_69’s full-outer `77`, while File_68’s corresponding-boundary state remains `76`. Neither comparison proves direct literary dependence."
          },
          {
            "line": 1610,
            "text": "Dependency note:"
          },
          {
            "line": 1611,
            "text": "The Lukan count states remain dependency-controlled by the genealogy branch: File_54 supplies the earlier comparative restraint, File_68 controls corresponding-boundary `76`, and File_69 controls full-outer `77`. No direct-dependence claim is made in `File_09`."
          },
          {
            "line": 1622,
            "text": "The source phrase `7 × 2300 Mirror` is preserved as a Danielic cycle / Mirror source-label. It is not Protocol 1 or Protocol 2 Mirror unless a later dependency explicitly opens those protocols."
          },
          {
            "line": 1626,
            "text": "| Source | Cumulative MT + 2nd Cainan (`+460` years). | no local endpoint check | Source-retained chronology datum; cumulative Cainan state; endpoints dependency-controlled. |"
          },
          {
            "line": 1627,
            "text": "| Prophetic conversion | `15870` solar years → `16100` Prophetic (`7 × 2300`) | `15870 × 70/69 = 16100`; `7 × 2300 = 16100` | Arithmetic fact under `70/69`. |"
          },
          {
            "line": 1628,
            "text": "| Priestly conversion | `15870` solar years → `17250` Priestly (`7.5 × 2300`) | `15870 × 25/23 = 17250`; `7.5 × 2300 = 17250` | Arithmetic fact under `25/23`; exact `.5` retained. |"
          },
          {
            "line": 1629,
            "text": "| Mirror / cycle label | The `7 × 2300` Mirror | no formal Mirror protocol opened | Mirror source-label; dependency-controlled. |"
          },
          {
            "line": 1649,
            "text": "The Prophetic and Priestly display values both check as arithmetic facts. The source does not state the endpoints for the `15870` solar-year span, so the endpoint set remains dependency-controlled. The “Mirror” label is preserved as terminology but does not carry the local burden of proof."
          },
          {
            "line": 1651,
            "text": "Dependency note:"
          },
          {
            "line": 1652,
            "text": "The source does not state the endpoints for the `15870` solar-year span. This file preserves the statement and leaves endpoint identification to a controlling cumulative / Danielic dependency."
          },
          {
            "line": 1654,
            "text": "Dependency note:"
          },
          {
            "line": 1662,
            "text": "| Area | Cross-reference | Dependency handling |"
          },
          {
            "line": 1680,
            "text": "## 7. Audit and dependency notes retained in the Final source"
          },
          {
            "line": 1758,
            "text": "Dependency note:"
          },
          {
            "line": 1759,
            "text": "The tripartite epoch endpoints, SP cumulative square endpoints, and Danielic `15870` endpoint set remain dependency-controlled. Do not infer them from factorization alone."
          },
          {
            "line": 1761,
            "text": "Dependency note:"
          },
          {
            "line": 1764,
            "text": "Dependency note:"
          },
          {
            "line": 1765,
            "text": "The Lukan relation is endpoint-qualified: File_68 controls the corresponding-boundary `76` state and File_69 the full-outer `77` state. Both remain structural inference and shared-tradition evidence by dependency; neither is an unresolved author-decision blocker unless the author wants a stronger source-critical or direct-dependence claim."
          },
          {
            "line": 1768,
            "text": "All interpretive claims in this file are tied to the appropriate claim-status layer: arithmetic fact, structural inference, theological note, Mirror coordinate-completion, Mirror source-label, shared-tradition evidence, or dependency-controlled proof."
          },
          {
            "line": 1806,
            "text": "Dependency note:"
          },
          {
            "line": 1809,
            "text": "Dependency note:"
          },
          {
            "line": 2350,
            "text": "- Finalization verification: metadata/workflow-only diff; no proof equation, coordinate table, operator, node-class, dependency boundary, or argument conclusion changed"
          }
        ],
        "state_and_role": [
          {
            "line": 13,
            "text": "Verification status: Complete. The primary suite verifies `473/473` arithmetic, coordinate, dependency, protected-region, non-collapse, source-equation, and structural checks; the independently constructed secondary suite verifies `380/380`, including the approved `215/215` arithmetic ledger, `53/53` additional pressure-arithmetic checks, `8/8` adversarial substitutions, and `127/127` simple numeric equalities. No proof-bearing arithmetic correction was required. Two bounded argument-control clarifications distinguish (1) generated relations from independently controlled shared endpoints and (2) scalar partition from coordinate execution; one blank table separator was repaired mechanically before Finalization. The post-Final audit closure was focused-verified as a terminology/audit correction: the obsolete quarantine guard and active unresolved-state language were removed, the controlled `+2+3+2` state was preserved, and no executable arithmetic row changed."
          },
          {
            "line": 24,
            "text": "Major modal states: cumulative master architecture; Aaron/Moses whole-year Creation envelope; Day-1/Day-4/Day-6/week-close comparison cell; base Apparent-Adam envelope; restored-Cainan Creation envelope; restored-Cainan/Apparent derived companion; bilateral Priestly, Prophetic, and Cainan-completion states; male/female birth-law cumulative realization; same-side reciprocal/palindromic orientation; Shelah terminal seam; six/seven carrier seam; `26/27` attribution-count and carrier-equivalent duration states; `12558/12600/12740` interface; actual/completed Enoch phase clutch; inherited phase-resolved Mirror states; File_68 `76` / File_69 `77` Lukan endpoint states; File_69 downstream handoff"
          },
          {
            "line": 46,
            "text": "| `File_22` | Controls cumulative harmonic scalars and the `12558 → 12600/12740` theorem. `File_09` supplies the bilateral endpoint anatomy and must preserve File_22's whole-Week and endpoint-resolved coordinate states. |"
          },
          {
            "line": 52,
            "text": "| `File_69` | Downstream synthesis for the full-outer Luke `77`, `26/27/28`, `13/14`, `180/182`, `490/504`, and `600/614` systems. File_09 stops at the cumulative substrate and Enoch phase clutch. |"
          },
          {
            "line": 69,
            "text": "The new proof burden is limited to the cumulative interaction of the seven-year Creation envelope, Adam's localized `+30` Apparent Age, restored cumulative second Cainan `+460`, the bilateral Key-of-23 completions, the Adam-to-Shelah birth-law propagation, the `6/7` carrier seam, the `26/27` carrier-equivalent states, and the actual/completed Enoch `5879/5880` phase clutch. The Luke–Matthew–BJ–Enochic complement tables and the full `180/182`, `600/614`, and `26/27/28` interpretation remain downstream in File_69."
          },
          {
            "line": 93,
            "text": "| Cumulative MT tripartite state | Creation → Shem; Flood → Abraham; Abraham → Conquest | cumulative epoch structure | Source-retained. Endpoints remain dependency-controlled by `File_18`, §6A and `File_22`. |"
          },
          {
            "line": 94,
            "text": "| Creation → Shem state | 175 Jubilees | cumulative Creation-to-Shem span | Source-retained chronology datum. Shem is a cumulative endpoint / boundary node in this section. Do not substitute a regular Shem birth or death state unless a dependency opens it. |"
          },
          {
            "line": 98,
            "text": "| Creation endpoint phase-pair state | `4115t/4114n BC` | MT Standard-Normal Creation-week endpoint pair | Author-clarified by dependency: the seven years of Creation may be viewed Tishri-to-Tishri and/or Nisan-to-Nisan. The pair is not collapsed into unsuffixed `4114 BC`. |"
          },
          {
            "line": 114,
            "text": "| Priestly conversion state | `5520 × 25/23 = 6000` | Priestly Key-of-23 conversion display | Arithmetic fact under exact `25/23`: `5520 ÷ 23 = 240`; `240 × 25 = 6000`. |"
          },
          {
            "line": 115,
            "text": "| Theological Sabbath-rest state | 6 Days / `6000` years / 7th Day of Rest | theological reading of the Conquest harmonic | Preserved as Theological note. It explains the meaning of the numeric structure but does not replace arithmetic or endpoint-state controls. |"
          },
          {
            "line": 118,
            "text": "| Jacob death state | 1859 BC | Jacob death under the standard `+215` Jacob state | Source-retained chronology datum by dependency. Do not collapse with MT Minimum Jacob death or LXX `−33` Jacob death states. |"
          },
          {
            "line": 119,
            "text": "| Levi death state | 1782 BC | Levi death under the `+215` Levi death state | Source-retained chronology datum by dependency. Do not collapse with the LXX `−33` Levi death state or with Jacob’s death. |"
          },
          {
            "line": 138,
            "text": "| Bilateral Prophetic `483→490` state | seven-year shoulders around a `483`-year core | overlapping `490`-year spans | `70/69` supplies a gain of `7`. The full unexpanded outer field remains `497`; the two overlapping halves are `490`. |"
          },
          {
            "line": 146,
            "text": "| `12558/12600/12740` interface state | root span; `300/299` completion; `70/69` completion | File_22 theorem / File_09 endpoint anatomy | File_22 retains the scalar theorem. File_09 may expose the endpoint-resolved cumulative anatomy without replacing File_22’s whole-Week realization. |"
          },
          {
            "line": 151,
            "text": "| File_69 downstream handoff state | `13/14`; `26/27/28`; `180/182`; `490/504`; `600/614` | downstream schematic synthesis | File_09 provides substrate only. No File_69 generated coordinate becomes a File_09 raw anchor. |"
          },
          {
            "line": 162,
            "text": "| §3A | Establishes the cumulative Creation–Cainan–Enoch substrate | four-state matrix; bilateral Keys; birth-law propagation; six/seven carriers; `12558/12600/12740`; Enoch `5879/5880` clutch |"
          },
          {
            "line": 194,
            "text": "| 6000 | Priestly-converted display value | `25/23` conversion state; Theological note field | civil-year span or unconverted solar span |"
          },
          {
            "line": 199,
            "text": "| 1859 BC | Jacob death | standard Jacob `+215` death-state by dependency | Jacob Entry; Jacob birth; LXX `−33` Jacob death; MT Minimum Jacob death |"
          },
          {
            "line": 200,
            "text": "| 1782 BC | Levi death | `+215` Levi death state | Jacob death `1859 BC`; LXX `−33` Levi death; Conquest anchor |"
          },
          {
            "line": 229,
            "text": "| 12558 | root span `14004→1446` | File_22 scalar / File_09 endpoint state | date anchor; `12600`; `12740` |"
          },
          {
            "line": 230,
            "text": "| 12600 | endpoint-resolved `14006→1406` completion | `300/299` / Prophetic-register state | File_22 whole-Week coordinate realization; `12740` |"
          },
          {
            "line": 231,
            "text": "| 12740 | endpoint-resolved `14036→1296` completion | `70/69` / Enochian-register state | `12600`; ordinary `+110` translation |"
          },
          {
            "line": 254,
            "text": "14. `1859 BC` and `1782 BC` belong to the Jacob-Levi `+215` death-state field. Do not mix them with LXX `−33`, MT Minimum, or other Jacob / Levi comparison states."
          },
          {
            "line": 258,
            "text": "18. The theological reading of `6000` years leading to the 7th Day of Rest is preserved as theological meaning. It does not carry the arithmetic burden."
          },
          {
            "line": 262,
            "text": "21. The cumulative chronology treats the **seven-year week as the primary object**. The balanced/default whole-year anatomy is `2+3+2`; Gear-dependent admissible orderings also include `2+2+3` and File_63's distinct `3+2+2` Day-1/Day-4/Day-6/week-close cell. Superimposing the whole-year boundary possibilities gives the finer boundary refinement `2+1+1+1+2=7`. These are state-qualified decompositions of one seven-year object, not four simultaneous arithmetic operators. The Tishri/Nisan `.5` phase remains a separate calendrical layer."
          },
          {
            "line": 275,
            "text": "34. In the Enoch terminal projection, two seven-year lengths may overlap by one year. The summed lengths are `7+7=14`, while the full outer envelope is `13=6+1+6`."
          },
          {
            "line": 276,
            "text": "35. File_09 stops at the cumulative substrate and Enoch phase clutch. Luke/Matthew/BJ complement tables and the full `13/14`, `26/27/28`, `180/182`, and `600/614` interpretation belong in File_69."
          },
          {
            "line": 510,
            "text": "File_22's whole-Week and endpoint-resolved `12558→12600/12740` realizations remain valid and distinct. File_63's `27×483` Temple-directed state remains distinct from File_09's generated Exodus-directed `14487→1446 BC` state. Shared scalar does not create coordinate identity."
          },
          {
            "line": 522,
            "text": "File_09 may establish the cumulative Creation–Cainan–Enoch substrate, `6/7` carrier seam, adjacent `26/27` carrier-equivalent states, and Enoch `5879/5880` clutch. The Luke/Matthew/BJ echo chamber, `28` “God” bookend, and full `180/182`, `490/504`, and `600/614` interpretation remain controlled by File_69."
          },
          {
            "line": 530,
            "text": "The Sabbath-rest reading in §3 explains the theological meaning of the `6000`-year Priestly conversion. It must not replace the arithmetic operator, endpoint state, phase-pair state, or civil-span guard."
          },
          {
            "line": 539,
            "text": "| Creation → Shem | `175 × 49` | `8575` | Arithmetic fact; endpoints dependency-controlled. |"
          },
          {
            "line": 554,
            "text": "| Priestly conversion, Conquest harmonic | `5520 × 25/23` | `6000` | Arithmetic fact. |"
          },
          {
            "line": 555,
            "text": "| Six-day theological display | `6 × 1000` | `6000` | Arithmetic display supporting Theological note. |"
          },
          {
            "line": 572,
            "text": "The complete new-substrate ledger contains `215` atomic equations. All `215/215` execute exactly under integer or exact-rational arithmetic. The full row-level manifest is retained in the companion arithmetic report; the proof-bearing bundles are integrated in §3A and the bounded §4 expansion."
          },
          {
            "line": 580,
            "text": "| `R` | `R001–R041` | `41` | `12558→12600/12740`; endpoint anatomy; `26/27×483/490` | `41/41 PASS` |"
          },
          {
            "line": 597,
            "text": "12558 × 300/299 = 12600"
          },
          {
            "line": 604,
            "text": "5880 + 20 × 336 = 12600"
          },
          {
            "line": 608,
            "text": "The former discussion-record shorthand `+2+5+2` is corrected to the already controlled `+2+3+2` cumulative Creation envelope. It therefore adds no independent arithmetic row or coordinate set; the approved `215`-row executable ledger remains unchanged."
          },
          {
            "line": 619,
            "text": "| Theological note | The six-days-to-seventh-day Sabbath-rest reading attached to the `6000`-year Priestly conversion. |"
          },
          {
            "line": 644,
            "text": "| Theological note | Interprets the `6000` Priestly conversion as 6 Days leading to the 7th Day of Rest. | Preserved; does not carry arithmetic burden. |"
          },
          {
            "line": 651,
            "text": "| Scalar / coordinate proof split | Uses File_22 for the `12558→12600/12740` theorem and File_63 for carrier controls. | File_09 adds endpoint anatomy without overwriting parent realizations. |"
          },
          {
            "line": 693,
            "text": "Creation, Shem, Flood, Abraham, and Conquest function here as cumulative architecture nodes. This section does not open ordinary regular biography rows or regular Flood / Creation endpoint rows unless a dependency supplies them."
          },
          {
            "line": 697,
            "text": "| Creation → Shem | 175 Jubilees | `175 × 49 = 8575` | Source-retained chronology datum; arithmetic fact; endpoints dependency-controlled. |"
          },
          {
            "line": 728,
            "text": "The endpoints for Creation → Shem, Flood → Abraham, and Abraham → Conquest remain dependency-controlled until `File_18`, §6A and `File_22` supply or confirm the cumulative table rows. This file does not infer missing endpoints."
          },
          {
            "line": 772,
            "text": "The `4115t/4114n BC` pair exists because the seven years of Creation are viewed Tishri-to-Tishri and/or Nisan-to-Nisan. The pair is the phase-resolved form of the MT Standard-Normal Creation-week endpoint state."
          },
          {
            "line": 871,
            "text": "| Priestly conversion | `5520 × 25/23` | `6000` | Arithmetic fact under exact `25/23`. |"
          },
          {
            "line": 872,
            "text": "| Theological reading | 6 Days (`6000` years) of work lead to the 7th Day of Rest, identified with the Conquest. | `6 × 1000 = 6000` | Theological note supported by arithmetic display. |"
          },
          {
            "line": 880,
            "text": "240 × 25 = 6000"
          },
          {
            "line": 884,
            "text": "The six-days-to-seventh-day reading is preserved as theological interpretation of the `6000`-year Priestly conversion. It does not replace the stated phase-resolved Mirror operator or target-state."
          },
          {
            "line": 903,
            "text": "| Harmonic scalars | `File_22` | Controls `12558`, `12600`, `12740`, and ratio-family theorem. |"
          },
          {
            "line": 908,
            "text": "| Downstream accordion | `File_69` | Controls the full `13/14`, `26/27/28`, `180/182`, `490/504`, and `600/614` interpretation. |"
          },
          {
            "line": 1296,
            "text": "### 3A.5 The `12558/12600/12740` interface"
          },
          {
            "line": 1318,
            "text": "12558 × 300/299 = 12600"
          },
          {
            "line": 1319,
            "text": "12600 − 12558 = 42."
          },
          {
            "line": 1325,
            "text": "14006 BC → 1406 BC = 12600."
          },
          {
            "line": 1347,
            "text": "12600"
          },
          {
            "line": 1489,
            "text": "#### 3A.6.3 Partition of the `12600` trunk"
          },
          {
            "line": 1495,
            "text": "5880 + 6720 = 12600."
          },
          {
            "line": 1499,
            "text": "`5880 + 6720 = 12600` is a scalar partition of the formal trunk. It is not one component-wise endpoint route from `14011–14004 BC` through the completed `8131–8124 BC` companion to `1406 BC`. The following coordinate projection deliberately uses the actual `8132–8125 BC` source rail; the actual and completed rails are then compared as an interlaced one-year clutch."
          },
          {
            "line": 1547,
            "text": "The restored and base seven-year envelopes preserve the same `3430` carrier on different endpoints."
          },
          {
            "line": 1564,
            "text": "`1859 BC` remains Jacob death under the standard `+215` state. `1866 BC` is opened only as the dependency-controlled companion member and is not promoted to a new File_09 raw row."
          },
          {
            "line": 1591,
            "text": "`1782 BC` is Levi death under the `+215` Levi death state by dependency. It is not a second Jacob death date and not a Conquest date."
          },
          {
            "line": 1666,
            "text": "| Cumulative scalar theorem | `File_22` | Controls `12558`, `12600`, `12740`, whole-Week translation, and endpoint-resolved register states. |"
          },
          {
            "line": 1675,
            "text": "| Genealogical accordion | `File_69` | Controls full-outer Luke `77`, `13/14`, `26/27/28`, `180/182`, `490/504`, and `600/614`. |"
          },
          {
            "line": 1786,
            "text": "File_22's whole-Week and endpoint-resolved `12558→12600/12740` states remain simultaneous. File_09 is not correcting File_22."
          },
          {
            "line": 1795,
            "text": "The overlapping Enoch terminal heptads may be measured as two seven-year lengths (`14`) or as a thirteen-year full outer envelope (`6+1+6`). These are different measurements of the same overlapped field."
          },
          {
            "line": 1798,
            "text": "The equation `5880+6720=12600` is a scalar partition, while `8132–8125 BC − 6720 = 1412–1405 BC` is the coordinate execution on the actual Enoch rail. The completed `8131–8124 BC` rail is retained as the adjacent comparison state and is not silently substituted into the coordinate projection."
          },
          {
            "line": 2354,
            "text": "- Author decisions integrated: four-state `2+3+2` matrix; bilateral Key states; Adam-to-Shelah birth-law propagation; same-side reciprocal terminology; six/seven carrier seam; `26/27` count/duration firewall; `12558/12600/12740` endpoint anatomy; actual/completed Enoch clutch; File_69 downstream boundary"
          }
        ]
      },
      "literal_occurrences": {
        "2832": [],
        "5890": [],
        "5290": [],
        "LXX_OFF": [],
        "600": [
          24,
          46,
          52,
          69,
          114,
          115,
          146,
          151,
          162,
          194,
          229,
          230,
          231,
          258,
          276,
          510,
          522,
          530,
          554,
          555,
          580,
          597,
          604,
          619,
          644,
          651,
          871,
          872,
          880,
          884,
          903,
          908,
          1296,
          1318,
          1319,
          1325,
          1347,
          1489,
          1495,
          1499,
          1666,
          1675,
          1786,
          1798,
          2354
        ]
      },
      "interpretation": "Search results identify review candidates; absence is not an automated proof about source meaning."
    },
    {
      "source": "AXIS_REPORT.md",
      "total_lines": 1043,
      "candidate_lines": {
        "exact_construction": [
          {
            "line": 384,
            "text": "The six selected boundaries are **3058/2578/2558/2458/2108/1958n BC** with their Tishri companions. The bridge is **8464=2×4232**. All three comparison columns refer to ordinary AD reflections of the primary Moses nodes."
          },
          {
            "line": 388,
            "text": "| Noah birth | 3059t/3058n BC | AD 5406t/5407n | 3880 | 3960 | 4000 |"
          },
          {
            "line": 391,
            "text": "| Flood start | 2459t/2458n BC | AD 6006t/6007n | 4480 | 4560 | 4600 |"
          },
          {
            "line": 457,
            "text": "| Noah birth | 3058 → 3188 | 5406 → 5276 | 3530 → 3400 | 3960 → 3830 | 4000 → 3870 |"
          },
          {
            "line": 460,
            "text": "| Flood start | 2458 → 2588 | 6006 → 5876 | 4130 → 4000 | 4560 → 4430 | 4600 → 4470 |"
          },
          {
            "line": 538,
            "text": "| Shem | 5897t/5896n → 5890t/5889n | 6800t/6801n → 6807t/6808n | 5354–5361 | 5394–5401 |"
          },
          {
            "line": 836,
            "text": "The full point-to-point widths are **5520** and **6900** on both phases. The **1380** offset here is specifically between these selected regular native states; it is not a universal MT/LXX offset."
          }
        ],
        "candidate_rule": [
          {
            "line": 108,
            "text": "Let **K=25/23** and **P=70/69**. These symbols name conversion operators; an arrow means a converted duration, not an equality of unconverted quantities."
          },
          {
            "line": 119,
            "text": "| Across −y → +y | First K conversion | Second K conversion |"
          },
          {
            "line": 136,
            "text": "The first and second K conversions give:"
          },
          {
            "line": 157,
            "text": "Use the selected full-430 / +215 comparison frame: Abram **2166**, Isaac **2066**, Jacob **2006**, Entry **1876**, Exodus **1446**, Conquest **1406 BC**. This selected Abraham–Moses frame can be compared across MT/SP/LXX; their distinct native sojourn settings and the localized −33 corridor remain distinct. Peleg/Nahor values here are specifically MT. The **2226** firstborn uses Dean’s +60 Terah reconstruction; it does not add 60 to every date in the report. [S1; S2]"
          },
          {
            "line": 223,
            "text": "Dean connects the bisected **70** with the divided covenant animals, the announced **400-year** residence/affliction period, and the later Babylonian **70**. Genesis 15:13 does not itself name Egypt in the 400-year statement. The selected Egyptian chronology uses **430**, while the 400-year covenant wording supplies the thematic comparison."
          },
          {
            "line": 325,
            "text": "Retain **Aaron 1530t BC** and **Moses 1526n BC**, **3.5 years apart** in the selected phase branch. Their lifespans remain **123** and **120**. Their historical deaths therefore do not become 3.5 years apart simply because their births are."
          },
          {
            "line": 336,
            "text": "The anchored coincidence is **M₁=AD 1447n**, the selected component of the ordinary Exodus mirror. The other track stations are generated template boundaries, not newly dated historical events."
          },
          {
            "line": 371,
            "text": "| Side | Before its selected Exodus component | After it |"
          },
          {
            "line": 384,
            "text": "The six selected boundaries are **3058/2578/2558/2458/2108/1958n BC** with their Tishri companions. The bridge is **8464=2×4232**. All three comparison columns refer to ordinary AD reflections of the primary Moses nodes."
          },
          {
            "line": 401,
            "text": "The Flood-to-Conquest **4600** is especially relevant because **4232K=4600**. It is a raw comparison width in this table and an expanded width in the separate 4232 conversion. Both realizations are retained with their operations named."
          },
          {
            "line": 428,
            "text": "Reflecting the generated 6006 and 5406 landings back to BC gives the equivalent comparisons with the selected cumulative Creation member **14006 BC**:"
          },
          {
            "line": 470,
            "text": "The source-state distinction remains: SP is **650** and native LXX ON **780** earlier than regular MT OFF at this selected Noah/Shem/Flood field. At fixed W, their landings inherit **−650/−780** movements. These are local regular offsets, not universal cumulative Creation offsets. The report does not open new SP companion or Gear states in the main calculation."
          },
          {
            "line": 476,
            "text": "Second Cainan’s selected regular lifespan is **2551→2091 BC**, **460 years**, distinct from the **130-year** begetting insertion. Translation by 8464 gives:"
          },
          {
            "line": 481,
            "text": "Dean’s selected comparison is the **one-year-earlier Conquest companion Q₁₄₀₅=AD 1405t/1406n**:"
          },
          {
            "line": 491,
            "text": "The selected regular nodes are **4114 BC** and **3654 BC**, 460 years apart. Two separately declared bridge states give:"
          },
          {
            "line": 562,
            "text": "| Selected boundary | Regular landing +8464 | Cumulative landing +12696 | Gap |"
          },
          {
            "line": 572,
            "text": "The complementary conversions are:"
          },
          {
            "line": 595,
            "text": "For the selected Flood member **Q₇₄₀₆**, both same-season comparisons to Q₁₄₀₆ are exactly 6000:"
          },
          {
            "line": 603,
            "text": "The primary comparison is to the **reflected Temple** on the AD side. At the selected members:"
          },
          {
            "line": 614,
            "text": "For the complete seven-year Temple windows, distinguish the two proposed date selections:"
          },
          {
            "line": 621,
            "text": "The selected-member Q₉₆₆ comparison above is exact in the primary Temple frame; pairing the complete envelopes gives the explicit one-year distinction. The 7.5 reading uses the full Tishri-to-Nisan spread. First Kings 6 provides the Temple’s 480th-year and seven-year language; the project’s phase and date selections specify how that language is executed here."
          },
          {
            "line": 666,
            "text": "These hold point-to-point across the seven-year matching-season envelopes. Their K conversions are **5000** and **4500**. The important **4600/4140** spans are therefore independently executable here, with explicit endpoints."
          },
          {
            "line": 673,
            "text": "This locates Dean’s preferred **AD 33n** Passion comparison within **3.5+3.5+0.5**. The opening 29t is a selected template boundary; the arithmetic alone does not establish a historical ministry-start date."
          },
          {
            "line": 692,
            "text": "| Exodus side | Raw width | Conversion | Completed width | Gain | Generated closing endpoint |"
          },
          {
            "line": 719,
            "text": "This is a declared transported-envelope convention. Scaling every point about the Exodus by its ratio would instead scale the seven-year widths themselves. The report preserves Dean’s full seven-year unit by transporting it after the endpoint conversion."
          },
          {
            "line": 736,
            "text": "The repository’s distinct uniform 27-carrier input is **13041=27×483**, which is **23** above 13018. That route and the present split conversion agree in their completed scalar while retaining different source constructions. [S5; S6]"
          },
          {
            "line": 836,
            "text": "The full point-to-point widths are **5520** and **6900** on both phases. The **1380** offset here is specifically between these selected regular native states; it is not a universal MT/LXX offset."
          },
          {
            "line": 852,
            "text": "Uniform scaling of every boundary is not required for the construction Dean specified. The selected conversions of cumulative boundary widths are:"
          },
          {
            "line": 854,
            "text": "| Original radius | First conversion | Selected continuation |"
          },
          {
            "line": 865,
            "text": "The final **2000 is 7000−5000**, a difference between converted boundary widths. It is not the P conversion of a 2300 segment. Introducing the independently obtained **6000** comparison divides the final 2000 into **1000+1000**, giving the proposed **5+1+1** reading."
          },
          {
            "line": 871,
            "text": "gives **6000−250** and **6000+250**, Dean’s **Day 5.75→6.25** crossover between the creation/fall imagery and restored rest. These are successive conversion states; they are not automatically two historical dates or a newly assigned Tishri/Nisan pair."
          },
          {
            "line": 896,
            "text": "The comprehensive prior Mirror study already connects the cumulative and regular chronologies through **115=5×23**, for which **115K=125**. One selected MT pair gives:"
          },
          {
            "line": 900,
            "text": "The two widths occur in separately selected source states: cumulative MT ON **5293→regular 2648**, and cumulative MT OFF **4833→regular 1958**. They must not be written as an unconverted equality. [S7, §4.2]"
          },
          {
            "line": 902,
            "text": "The local SP cumulative difference decomposes as **120=115+5**; a five-year selection inside the seven-year field exposes 115. Prior examples include **4831→4716=115**, **4716→3106=1610=14×115**, and **3106→2991=115**. The last two use an explicitly selected **SP Gear-1** setting, and the final one changes the sojourn frame. They belong to the earlier background study, not to the normal-Gear-2 execution of the present tables. [S7, §5]"
          },
          {
            "line": 906,
            "text": "The earlier **3+7×529** handoff likewise remains source-qualified: **5296→3709→6 BC** uses MT cumulative ON, SP regular G3 companion Noah, and the Christ anchor. It is not silently imported into the main Gear-2 tables. Its total 5290 can support the retained trunk marker without changing its source identities. [S11]"
          },
          {
            "line": 917,
            "text": "Dean describes the reorganization of patterns under these new coordinates as **self-organization**, suggesting an underlying geometric or fractal structure. The demonstrated content is the recurrence of these exact operators and selected endpoint relationships. The squared factors and **2304=48²** gain make a geometric investigation natural, but a square factor alone does not establish a spatial dimension, area, metric, or fractal law."
          },
          {
            "line": 919,
            "text": "The proposed third dimension remains a research direction. A useful eventual data structure would record each event’s source state, ordinary chronological coordinate, selected y-boundary, translation, phase, and conversion state. A z coordinate should be introduced only when its defining relationship has been specified."
          },
          {
            "line": 943,
            "text": "| 7000/7500 must share one uniform boundary ratio | Mixed boundary conversions are explicit; both theological readings retained |"
          },
          {
            "line": 945,
            "text": "### 18.2 Dependency discipline"
          },
          {
            "line": 947,
            "text": "Birth-pair complements, signed offset reversals, opposite Mirror order, and repeated row differences are consequences of their parent choices. The 1260±3.5 partitions follow from the two selected tracks and the full-week extension. The 22540 factorizations and 1380 exchange follow from their factor identities. Such equivalences clarify the structure but are not separate independent witnesses."
          },
          {
            "line": 973,
            "text": "The terminal AD envelope is the ordinary reflection of the selected **1878→1871 BC** famine week. On the AD side the operation is subtraction by 2340 or 2800. Dean connects this to the curse and the dividing of famine patterns. The arithmetic of this proposed route is checked; admission of its upstream Gear transport and the fuller two-famine interpretation remain quarantined."
          },
          {
            "line": 1002,
            "text": "| Receiving brief, selected frame, Gears/primer boundaries, January mean, 4232 rule | Receiving brief; §§1–3; §18 |"
          },
          {
            "line": 1015,
            "text": "| Dependency ledger and source/evidence distinctions | §§1.3, 18; Appendices B–D |"
          },
          {
            "line": 1033,
            "text": "**[S8] Creation and theological controls:** *File_07.Creation_Seed_Decimal_Root (1)(1).md* and *File_70.Genesis_Toledot_Atonement_Weave(10)(1).md*, especially File_70 §8 on Nisan 14/15. Dean’s latest Year 14/15 clarification is recorded explicitly in §15.3 as the current branch interpretation."
          }
        ],
        "state_and_role": [
          {
            "line": 8,
            "text": "**Revision basis:** Integrates the complete substantive content of the attached *2116/4232 Terah–Moses Mirror* handoff, its post-C113 resolution, the subsequent 8464 and 12696 studies, the bounded 1380 audit, and Dean’s final Year 14/15 clarification.  "
          },
          {
            "line": 24,
            "text": "2. **8464:** the normal-Gear-2 MT Noah/Shem field generates the AD 5406–6506 family. The Flood gives **6000 to the reflected Christ anchor** and **4600 to the reflected Conquest**. Regular Cainan insertion moves upstream sources **130 earlier** and their AD landings **130 earlier**, producing the Flood-to-Entry **4000**."
          },
          {
            "line": 25,
            "text": "3. **12696:** full cumulative seven-year envelopes preserve the upstream Cainan **460** displacement. Flood/Cainan/Shelah comparisons produce **6000**, **6440→7000**, and **6900→7000 or 7500**, with an explicit **+1/−1-year arrangement** around the reflected Conquest week."
          },
          {
            "line": 42,
            "text": "| −2116 = −4×529 | 2117t/2116n BC | Regular Terah → Abram | AD 2116t/2117n |"
          },
          {
            "line": 43,
            "text": "| −4232 = −8×529 | 4233t/4232n BC | Regular Creation → Terah, excluding Terah; cumulative Terah → Abram | AD 4232t/4233n |"
          },
          {
            "line": 45,
            "text": "| −6348 = −12×529 | 6349t/6348n BC | Cumulative Creation → Terah, excluding Terah | AD 6348t/6349n |"
          },
          {
            "line": 113,
            "text": "| 4232 | 8 | 8464 | 4600 | 5000 |"
          },
          {
            "line": 121,
            "text": "| 4232 | 4600 | 5000 |"
          },
          {
            "line": 146,
            "text": "| Second K expansion | 200+200+100+100 | **600** | **1200** |"
          },
          {
            "line": 149,
            "text": "This corrects two slips in the discussion: **552 is not 23²**, and **100+100+200+200 is 600, not 1100**. The final bilateral gain **15000−12696=2304=48²** remains exact."
          },
          {
            "line": 151,
            "text": "Dean relates **1152** to the **1150/1152** family and the Noah/Shem ±2 mechanism. This report records the numerical adjacency but does not operate a Gear to convert one into the other. Similarly, the genuine Noah→Shem→Flood→Shem-death partition is **500+100+500=1100**; it is a thematic comparison with the expansion anatomy, not the same sum as the second-stage 600."
          },
          {
            "line": 157,
            "text": "Use the selected full-430 / +215 comparison frame: Abram **2166**, Isaac **2066**, Jacob **2006**, Entry **1876**, Exodus **1446**, Conquest **1406 BC**. This selected Abraham–Moses frame can be compared across MT/SP/LXX; their distinct native sojourn settings and the localized −33 corridor remain distinct. Peleg/Nahor values here are specifically MT. The **2226** firstborn uses Dean’s +60 Terah reconstruction; it does not add 60 to every date in the report. [S1; S2]"
          },
          {
            "line": 167,
            "text": "| Haran / Terah’s firstborn: 2227t/2226n | 2006t/2007n | Jacob birth | +110 ↔ −110 |"
          },
          {
            "line": 191,
            "text": "Nahor here is **Terah’s father**, not Abram’s brother. The retained MT biographies are Peleg **2357→2118** and Nahor **2265→2117 BC**."
          },
          {
            "line": 198,
            "text": "The initially proposed Peleg landing **2115t/2116n** belongs to Nahor. The corrected Peleg landing preserves the intended ±2 bracket without moving either patriarch by a Gear. The proposed connection with Noah/Shem ±2 is retained as a structural hypothesis."
          },
          {
            "line": 211,
            "text": "The endpoint equation is exact. Its event assignment is a proposal: Genesis 47’s transaction sequence does not independently specify 1875 BC, and the land transfer concerns Egyptian land with the priests exempt. The wider nations correspondence belongs to the theological synthesis. The central year of a seven-year famine is also distinct from its exact halfway instant, which requires seasonal endpoints. These qualifications were already part of the attached handoff and remain in force."
          },
          {
            "line": 217,
            "text": "$$2116-2081=35,\\qquad4232-2081=2151.$$"
          },
          {
            "line": 219,
            "text": "Thus **2082t/2081n BC +4232 = AD 2151t/2152n**, and the AD comparison is:"
          },
          {
            "line": 221,
            "text": "$$Q_{2081}\\xrightarrow{35}Q_{2116}\\xrightarrow{35}Q_{2151}.$$"
          },
          {
            "line": 288,
            "text": "$$1380=3\\times460,\\qquad4232\\xrightarrow{K}4600=10\\times460.$$"
          },
          {
            "line": 380,
            "text": "## 7. The 8464 layer: regular MT Noah/Shem/Flood"
          },
          {
            "line": 382,
            "text": "### 7.1 Normal Gear 2, Cainan OFF"
          },
          {
            "line": 388,
            "text": "| Noah birth | 3059t/3058n BC | AD 5406t/5407n | 3880 | 3960 | 4000 |"
          },
          {
            "line": 390,
            "text": "| Shem birth | 2559t/2558n BC | AD 5906t/5907n | 4380 | 4460 | 4500 |"
          },
          {
            "line": 391,
            "text": "| Flood start | 2459t/2458n BC | AD 6006t/6007n | 4480 | 4560 | 4600 |"
          },
          {
            "line": 392,
            "text": "| Noah death | 2109t/2108n BC | AD 6356t/6357n | 4830 | 4910 | 4950 |"
          },
          {
            "line": 393,
            "text": "| Shem death | 1959t/1958n BC | AD 6506t/6507n | 4980 | 5060 | 5100 |"
          },
          {
            "line": 399,
            "text": "$$4830=21\\times230,\\quad5060=22\\times230,\\quad4600=20\\times230.$$"
          },
          {
            "line": 401,
            "text": "The Flood-to-Conquest **4600** is especially relevant because **4232K=4600**. It is a raw comparison width in this table and an expanded width in the separate 4232 conversion. Both realizations are retained with their operations named."
          },
          {
            "line": 403,
            "text": "The Shem-death-to-Conquest **5100** is:"
          },
          {
            "line": 407,
            "text": "The regular biography supplies **500+100+500=1100** from Noah birth through Shem birth and Flood to Shem death. Noah’s life itself is **950**, and Shem’s **600**; the translation preserves both."
          },
          {
            "line": 415,
            "text": "| Noah birth | 5406 | 5400 |"
          },
          {
            "line": 417,
            "text": "| Shem birth | 5906 | 5900 |"
          },
          {
            "line": 418,
            "text": "| Flood start | 6006 | 6000 |"
          },
          {
            "line": 419,
            "text": "| Noah death | 6356 | 6350 |"
          },
          {
            "line": 420,
            "text": "| Shem death | 6506 | 6500 |"
          },
          {
            "line": 424,
            "text": "$$5400=15\\times360,\\quad5880=120\\times49,\\quad6000=120\\times50,\\quad6500=13\\times500.$$"
          },
          {
            "line": 426,
            "text": "The 120-year countdown preserves **6000−5880=120**, connecting 120 groups of 50 with 120 groups of 49. The Flood landing also lies **4600** beyond the reflected Conquest, while Noah birth lies **4000** beyond it and **3960=11×360** beyond the reflected Exodus."
          },
          {
            "line": 428,
            "text": "Reflecting the generated 6006 and 5406 landings back to BC gives the equivalent comparisons with the selected cumulative Creation member **14006 BC**:"
          },
          {
            "line": 430,
            "text": "$$14006-6006=8000,\\qquad14006-5406=8600=4300+4300.$$"
          },
          {
            "line": 446,
            "text": "| Noah birth | 3189t/3188n BC | AD 5276t/5277n | 3400 | 3830 | 3870 |"
          },
          {
            "line": 448,
            "text": "| Shem birth | 2689t/2688n BC | AD 5776t/5777n | 3900 | 4330 | 4370 |"
          },
          {
            "line": 450,
            "text": "| Noah death | 2239t/2238n BC | AD 6226t/6227n | 4350 | 4780 | 4820 |"
          },
          {
            "line": 451,
            "text": "| Shem death | 2089t/2088n BC | AD 6376t/6377n | 4500 | 4930 | 4970 |"
          },
          {
            "line": 457,
            "text": "| Noah birth | 3058 → 3188 | 5406 → 5276 | 3530 → 3400 | 3960 → 3830 | 4000 → 3870 |"
          },
          {
            "line": 459,
            "text": "| Shem birth | 2558 → 2688 | 5906 → 5776 | 4030 → 3900 | 4460 → 4330 | 4500 → 4370 |"
          },
          {
            "line": 460,
            "text": "| Flood start | 2458 → 2588 | 6006 → 5876 | 4130 → 4000 | 4560 → 4430 | 4600 → 4470 |"
          },
          {
            "line": 461,
            "text": "| Noah death | 2108 → 2238 | 6356 → 6226 | 4480 → 4350 | 4910 → 4780 | 4950 → 4820 |"
          },
          {
            "line": 462,
            "text": "| Shem death | 1958 → 2088 | 6506 → 6376 | 4630 → 4500 | 5060 → 4930 | 5100 → 4970 |"
          },
          {
            "line": 468,
            "text": "Noah’s ON landing gives **5276−1876=3400**. Using the separately declared **1846** comparison gives **5276−1846=3430=70×7×7**. This is the precise form of the proposed +30 observation. It supports examining the 1846 member; it does not replace Entry 1876."
          },
          {
            "line": 470,
            "text": "The source-state distinction remains: SP is **650** and native LXX ON **780** earlier than regular MT OFF at this selected Noah/Shem/Flood field. At fixed W, their landings inherit **−650/−780** movements. These are local regular offsets, not universal cumulative Creation offsets. The report does not open new SP companion or Gear states in the main calculation."
          },
          {
            "line": 489,
            "text": "### 8.2 Creation and Jared, with normal Gear 2 held"
          },
          {
            "line": 505,
            "text": "For completeness, at W=8464 the direct Q₆ spans are **4344** and **4804**; to the literal BC pair **7t/6n**, the cross-axis spans are **4356** and **4816**. The earlier compressed description “Adam/Jared 4600 and 5100 to Christ” is not obtained from these specified inputs. It is retained in the unresolved ledger, requiring its additional source state or operation rather than being silently repaired. The independently verified Methuselah-derived **4600/4140** Christ comparisons are given in §12."
          },
          {
            "line": 507,
            "text": "Regular Creation with Cainan ON was explicitly set aside because Dean associated that route with a Gear-3 Kenan/Cainan construction. It appears only in Appendix A; it does not alter these normal-frame rows."
          },
          {
            "line": 509,
            "text": "## 9. The 12696 layer: full cumulative seven-year envelopes"
          },
          {
            "line": 511,
            "text": "Use **W=12696=2×6348=24×529**. Retain each full seven-elapsed-year Nisan envelope and its Tishri companion. No compression to the interior three-year track is made. A phase-pair envelope spans seven years on matching seasons and 7.5 from its first Tishri boundary to its last Nisan boundary."
          },
          {
            "line": 521,
            "text": "| Noah | 6387t/6386n → 6380t/6379n | 6310t/6311n → 6317t/6318n | 4864–4871 | 4904–4911 |"
          },
          {
            "line": 522,
            "text": "| Shem | 5437t/5436n → 5430t/5429n | 7260t/7261n → 7267t/7268n | 5814–5821 | 5854–5861 |"
          },
          {
            "line": 537,
            "text": "| Noah | 6847t/6846n → 6840t/6839n | 5850t/5851n → 5857t/5858n | 4404–4411 | 4444–4451 |"
          },
          {
            "line": 538,
            "text": "| Shem | 5897t/5896n → 5890t/5889n | 6800t/6801n → 6807t/6808n | 5354–5361 | 5394–5401 |"
          },
          {
            "line": 539,
            "text": "| Flood / Arphaxad boundary | 5297t/5296n → 5290t/5289n | 7400t/7401n → 7407t/7408n | 5954–5961 | 5994–6001 |"
          },
          {
            "line": 540,
            "text": "| Arphaxad | 5297t/5296n → 5290t/5289n | 7400t/7401n → 7407t/7408n | 5954–5961 | 5994–6001 |"
          },
          {
            "line": 550,
            "text": "## 10. The 6000/7000 relationships and the explicit ±1 arrangement"
          },
          {
            "line": 585,
            "text": "Subtract the named comparison width from each entire landing envelope, preserving its seven-year width:"
          },
          {
            "line": 589,
            "text": "| Flood ON: Q₇₄₀₀→Q₇₄₀₇ | **6000** | Q₁₄₀₀→Q₁₄₀₇ | **+1 year** |"
          },
          {
            "line": 595,
            "text": "For the selected Flood member **Q₇₄₀₆**, both same-season comparisons to Q₁₄₀₆ are exactly 6000:"
          },
          {
            "line": 597,
            "text": "$$7406t-1406t=7407n-1407n=6000.$$"
          },
          {
            "line": 599,
            "text": "The crossed-suffix wording **7406t−1406n** and **7407n−1407t** instead gives **6000.5** and **5999.5** in the exact phase model. Their mean is 6000. The intended exact pair is retained by matching the suffixes; the half-year information is not discarded."
          },
          {
            "line": 607,
            "text": "| ON: Q₇₄₀₆ | **5960** | **6000** | **6440** |"
          },
          {
            "line": 614,
            "text": "For the complete seven-year Temple windows, distinguish the two proposed date selections:"
          },
          {
            "line": 621,
            "text": "The selected-member Q₉₆₆ comparison above is exact in the primary Temple frame; pairing the complete envelopes gives the explicit one-year distinction. The 7.5 reading uses the full Tishri-to-Nisan spread. First Kings 6 provides the Temple’s 480th-year and seven-year language; the project’s phase and date selections specify how that language is executed here."
          },
          {
            "line": 663,
            "text": "| OFF | 4572t/4571n→4565t/4564n | 29t/30n→36t/37n | **4600** |"
          },
          {
            "line": 666,
            "text": "These hold point-to-point across the seven-year matching-season envelopes. Their K conversions are **5000** and **4500**. The important **4600/4140** spans are therefore independently executable here, with explicit endpoints."
          },
          {
            "line": 703,
            "text": "### 13.2 Carrying the original seven-year unit"
          },
          {
            "line": 705,
            "text": "Move each full envelope by the displacement obtained at its closing endpoint, keeping its seven-year width:"
          },
          {
            "line": 719,
            "text": "This is a declared transported-envelope convention. Scaling every point about the Exodus by its ratio would instead scale the seven-year widths themselves. The report preserves Dean’s full seven-year unit by transporting it after the endpoint conversion."
          },
          {
            "line": 845,
            "text": "| **5520** | **5600** | **6000** |"
          },
          {
            "line": 848,
            "text": "Dean’s six-plus-one conquest/rest interpretation uses **1407t/1406n BC→1401t/1400n BC→1400t/1399n BC**. The 6000/7000 correspondence interprets six and seven units at 1000:1; the 7500 reading retains the 7.5 seasonal envelope. Reflection reverses the ordering of the events within the interval while preserving its length. [S3; S7]"
          },
          {
            "line": 857,
            "text": "| 4232 | 4600 | K→**5000** |"
          },
          {
            "line": 865,
            "text": "The final **2000 is 7000−5000**, a difference between converted boundary widths. It is not the P conversion of a 2300 segment. Introducing the independently obtained **6000** comparison divides the final 2000 into **1000+1000**, giving the proposed **5+1+1** reading."
          },
          {
            "line": 871,
            "text": "gives **6000−250** and **6000+250**, Dean’s **Day 5.75→6.25** crossover between the creation/fall imagery and restored rest. These are successive conversion states; they are not automatically two historical dates or a newly assigned Tishri/Nisan pair."
          },
          {
            "line": 902,
            "text": "The local SP cumulative difference decomposes as **120=115+5**; a five-year selection inside the seven-year field exposes 115. Prior examples include **4831→4716=115**, **4716→3106=1610=14×115**, and **3106→2991=115**. The last two use an explicitly selected **SP Gear-1** setting, and the final one changes the sojourn frame. They belong to the earlier background study, not to the normal-Gear-2 execution of the present tables. [S7, §5]"
          },
          {
            "line": 906,
            "text": "The earlier **3+7×529** handoff likewise remains source-qualified: **5296→3709→6 BC** uses MT cumulative ON, SP regular G3 companion Noah, and the Christ anchor. It is not silently imported into the main Gear-2 tables. Its total 5290 can support the retained trunk marker without changing its source identities. [S11]"
          },
          {
            "line": 930,
            "text": "| Second-stage gain 1100 per side | **600 per side; 1200 bilateral** |"
          },
          {
            "line": 936,
            "text": "| 6000 from crossed suffixes | Matching phases give **6000**; crossed phases give **6000±0.5** |"
          },
          {
            "line": 955,
            "text": "The strongest next task is a **single endpoint ledger for the proposed MT/SP/LXX cumulative-Flood→Creation 5+1+1+6(+1) sequence**, recording each tradition, Cainan state, Gear where allowed, phase, anchor, and Key before calculating its segments. That would test whether the already observed correspondences assemble into one declared construction rather than a set of related scalar comparisons."
          },
          {
            "line": 957,
            "text": "Do not reopen the quarantined 1876 half-primer or 1446 thirds-primer campaigns. The present 2116/4232 framework remains its own proposal. Preserve normal Gear 2 in the present core and keep Appendix A separate. **High is sufficient for the bounded endpoint ledger; a geometric z-law has not yet been specified.**"
          },
          {
            "line": 959,
            "text": "## Appendix A. Quarantined Gear-3 Creation/Jared–famine comparison"
          },
          {
            "line": 961,
            "text": "Dean requested that this be retained as an appendix. It is not used to produce the core results, and it does not authorize general Gear propagation from Noah/Shem/Flood to Creation or Jared."
          },
          {
            "line": 963,
            "text": "The proposed Gear-3 Creation envelope is **4124t/4123n→4117t/4116n BC**. Moving its BC magnitudes 130 earlier gives **4254t/4253n→4247t/4246n BC**. On the signed BC axis this is a −130 movement; printed BC numbers increase by 130."
          },
          {
            "line": 973,
            "text": "The terminal AD envelope is the ordinary reflection of the selected **1878→1871 BC** famine week. On the AD side the operation is subtraction by 2340 or 2800. Dean connects this to the curse and the dividing of famine patterns. The arithmetic of this proposed route is checked; admission of its upstream Gear transport and the fuller two-famine interpretation remain quarantined."
          },
          {
            "line": 977,
            "text": "The accompanying standard-library Python audit uses exact rational phase coordinates and executes **855 assertions** covering the displayed source-to-landing tables, both seasonal components, all annual members of the cumulative seven-year fields, the witness tracks, the companion weeks, the Creation split, and the Mosaic crossings. The count describes arithmetic/convention checks, not independent evidential witnesses."
          },
          {
            "line": 991,
            "text": "| Adam/Jared “4600/5100 to Christ” shorthand | Correct W=8464 and W=9200 landings, §8 | Additional source state or operation for that particular claim |"
          },
          {
            "line": 992,
            "text": "| Shem-birth/Noah-death Christ-generation comparisons | Q₅₉₀₆/Q₆₃₅₆ and their direct Q₆ spans | Exact AD 35/95 or BC counterpart endpoints and phases |"
          },
          {
            "line": 994,
            "text": "| 1150/1152 and Peleg ±2 relation to Gears | Numerical offsets and exact local spans | An admitted, source-specific Gear operation |"
          },
          {
            "line": 1002,
            "text": "| Receiving brief, selected frame, Gears/primer boundaries, January mean, 4232 rule | Receiving brief; §§1–3; §18 |"
          },
          {
            "line": 1019,
            "text": "**[S1] Attached source handoff:** *490d_Branch_Handoff_2116_4232_Terah_Moses_Mirror_20260922 (2).md*. Read in full; original preserved unchanged in the evidence package. Its post-C113 §7 controls the resolved witness transfer."
          },
          {
            "line": 1021,
            "text": "**[S2] Chronological source tables:** *File_18.Chronological_Data_Tables(20260919-141048).md*, especially the regular source frames and §§6A–6B cumulative MT OFF/ON tables. Controlling for the full seven-year units and Shelah convergence."
          },
          {
            "line": 1039,
            "text": "**[S11] Related branch:** *490d_Branch_Handoff_3plus7x529_Flood_Noah_Christ_20260921 (2).md*. Its source-state qualifications remain separate from the current Gear-2 core."
          },
          {
            "line": 1041,
            "text": "**Execution settings:** no astronomical year-zero relabeling; normal Gear 2 in the core; regular Cainan insertion +130 upstream; cumulative insertion +460 upstream through Arphaxad, with Shelah onward fixed; full seven-year cumulative envelopes; original and reflected phase pairs distinguished; source event, generated coordinate, converted width, and theological role recorded separately. No canonical source file or main-window checkpoint was changed."
          }
        ]
      },
      "literal_occurrences": {
        "2832": [],
        "5890": [
          538
        ],
        "5290": [
          19,
          44,
          114,
          132,
          539,
          540,
          869,
          906
        ],
        "LXX_OFF": [],
        "600": [
          24,
          25,
          113,
          121,
          146,
          149,
          151,
          288,
          391,
          399,
          401,
          407,
          418,
          424,
          426,
          428,
          430,
          460,
          505,
          539,
          540,
          550,
          589,
          595,
          597,
          599,
          607,
          663,
          666,
          845,
          848,
          857,
          865,
          871,
          930,
          936,
          991
        ]
      },
      "interpretation": "Search results identify review candidates; absence is not an automated proof about source meaning."
    }
  ],
  "direct_SP_ingredient_reconstruction": [
    {
      "gear": 1,
      "rail": "primary",
      "native_Shem_birth": 2991,
      "native_Shem_death": 2391,
      "Terah60_Shem_birth": 3051,
      "Terah60_Shem_death": 2451,
      "native_frame": "minimum215",
      "Cainan": "OFF"
    },
    {
      "gear": 1,
      "rail": "companion",
      "native_Shem_birth": 2990,
      "native_Shem_death": 2390,
      "Terah60_Shem_birth": 3050,
      "Terah60_Shem_death": 2450,
      "native_frame": "minimum215",
      "Cainan": "OFF"
    },
    {
      "gear": 2,
      "rail": "primary",
      "native_Shem_birth": 2993,
      "native_Shem_death": 2393,
      "Terah60_Shem_birth": 3053,
      "Terah60_Shem_death": 2453,
      "native_frame": "minimum215",
      "Cainan": "OFF"
    },
    {
      "gear": 2,
      "rail": "companion",
      "native_Shem_birth": 2992,
      "native_Shem_death": 2392,
      "Terah60_Shem_birth": 3052,
      "Terah60_Shem_death": 2452,
      "native_frame": "minimum215",
      "Cainan": "OFF"
    },
    {
      "gear": 3,
      "rail": "primary",
      "native_Shem_birth": 2995,
      "native_Shem_death": 2395,
      "Terah60_Shem_birth": 3055,
      "Terah60_Shem_death": 2455,
      "native_frame": "minimum215",
      "Cainan": "OFF"
    },
    {
      "gear": 3,
      "rail": "companion",
      "native_Shem_birth": 2994,
      "native_Shem_death": 2394,
      "Terah60_Shem_birth": 3054,
      "Terah60_Shem_death": 2454,
      "native_frame": "minimum215",
      "Cainan": "OFF"
    }
  ],
  "retained_C310_families": [
    {
      "id": "family1",
      "tradition": "LXX",
      "Cainan": 0,
      "Terah60": 1,
      "full430": 0,
      "upper_role": "Shem birth",
      "lower_role": "Shem death",
      "indices": [
        3,
        5,
        7
      ]
    },
    {
      "id": "family2",
      "tradition": "MT",
      "Cainan": 0,
      "Terah60": 0,
      "full430": 1,
      "upper_role": "Noah birth",
      "lower_role": "Flood start",
      "indices": [
        0,
        2
      ]
    },
    {
      "id": "family3",
      "tradition": "SP",
      "Cainan": 0,
      "Terah60": 1,
      "full430": 0,
      "upper_role": "Shem birth",
      "lower_role": "Shem death",
      "indices": [
        3,
        4,
        5,
        6,
        7
      ]
    }
  ],
  "retained_comparison_offset": 2832,
  "new_endpoint_census_performed": false,
  "prescriptive_rule_search_scope": "No prescribing rule located in these three frozen documents; lexical absence is only an audit aid and does not prove invalidity or absence elsewhere.",
  "automated_checks_do_not_prove_textual_absence": true
}