{ "step": "C412", "source_excerpt_cards": [ { "id": "MT_PERSONS", "source": "File_02.md", "section": "6.2 MT minimum Noah/Shem baselines and position matrix", "line_start": 659, "line_end": 716, "text": "### 6.2 Regular chronology: localized effect\n\nActive state:\nMT Minimum-Regular Noah/Shem pivot table.\n\nNode-class note:\nThe slash-pairs in this table are localized modal pairs, not collapsed date ranges and not unresolved typographical variants.\n\nIn regular chronology, the ±2 is localized. It affects only Noah and Shem without propagating through the remaining patriarchal chain.\n\n| Patriarch | Birth pair | Death pair | Lifespan |\n|---|---:|---:|---:|\n| Noah | 2843/2841 BC | 1893/1891 BC | 950 |\n| Shem | 2343/2341 BC | 1743/1741 BC | 600 |\n\nSource-control note:\nThe supplied source row `2845/2843 BC` and `1895/1893 BC` is preserved in the archive. The active `File_02` table uses `2843/2841 BC` and `1893/1891 BC` for Noah under current `File_00` / Restart Capsule v11.15 Noah-Shem pivot controls.\n\nArithmetic note:\nThe localized lifespan pairs check internally.\n\n$$2843-1893=950.$$\n\n$$2841-1891=950.$$\n\n$$2343-1743=600.$$\n\n$$2341-1741=600.$$\n\nEndpoint-state note:\nUnder the local MT Minimum-Regular Flood at `2243 BC`, the Noah birth pair gives the controlled 600/598 state:\n\n$$2843-2243=600.$$\n\n$$2841-2243=598.$$\n\nThis prepares the 598 ↔ 600 gear shift in §6.3 without retaining the prior `602` result as an active state.\n\nThe Shem birth pair gives the 100/98 state against the same Flood boundary:\n\n$$2343-2243=100.$$\n\n$$2341-2243=98.$$\n\nTransfer rule:\nThis table gives the localized Noah/Shem ±2 pair in the minimum-position MT regular state. It does not replace the MT Standard-Normal Flood at `2458 BC`.\n\nTo transfer the table into the other MT regular positions, apply the Universal Four-Position Matrix.\n\n| Position | Add to minimum-position Noah/Shem table |\n|---|---:|\n| Minimum-Regular | +0 |\n| Minimum-Regular +60 | +60 |\n| Standard-Normal | +215 |\n| Standard-Normal +60 | +275 |\n\nMachine-processing rule:\nRegular dates apply the ±2 ambiguity only to Noah and Shem.", "excerpt_sha256": "45b114f63ea4380febdaef22d664e23579dcecc53759f20c6a2a742cef885038" }, { "id": "PERSON_BASES", "source": "File_18.md", "section": "2.2.1 independent MT/LXX and SP person endpoints", "line_start": 1253, "line_end": 1282, "text": "\n#### 2.2.1 Noah and Shem `±2` anomaly\n\nActive state:\nRegular-localized Shem `±2`.\n\nGenesis 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`.\n\n| Patriarch | Literal, in table | Idealistic `±2` | Source direction label |\n|---|---|---|---|\n| Noah | 2843–1893 BC | 2841–1891 BC | Earlier |\n| Shem | 2341–1741 BC | 2343–1743 BC | Later |\n\nThe literal dates represent the minimum baseline. The idealistic dates represent the alternative reading of Genesis 11:10. Both are valid.\n\nFor LXX, retain the independently sourced `±2` comparisons at its own native-Cainan positions:\n\n| Tradition | Patriarch | Literal | Idealistic `±2` |\n|---|---|---|---|\n| LXX | Noah | 3623–2673 BC | 3621–2671 BC |\n| LXX | Shem | 3121–2521 BC | 3123–2523 BC |\n\nThe corrected SP field additionally has a local one-year companion. Its native-frame G2 pairs are:\n\n| SP person | G2 primary biography | G2 lower-companion biography |\n|---|---|---|\n| Noah | 3493–2543 BC | 3492–2542 BC |\n| Shem | 2993–2393 BC | 2992–2392 BC |\n\nThese 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.", "excerpt_sha256": "bdc7bf81662ed18805fc57aae6ec26d2026111cca6b3f7262366c1c14c067dd5" }, { "id": "SP_FIELD", "source": "File_18.md", "section": "3.2.1 three Gears, person rails, lifespans and500/502 bindings", "line_start": 1571, "line_end": 1596, "text": "#### 3.2.1 SP Noah/Shem field and named bindings\n\nEach 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.\n\nThe post-Flood begetting table selects the G1 primary / Arphaxad-bound Shem row:", "excerpt_sha256": "f756f840110723b596d44f3bbbe7f3f3b2541dd0cd6716d42683490363ed3250" }, { "id": "FLOOD", "source": "File_18.md", "section": "3.1.4 independent start/close boundaries", "line_start": 1540, "line_end": 1552, "text": "#### 3.1.4 Ordinary Flood Gears, fixed Arphaxad, and the SP midpoint\n\nThis 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": "99eb07c7c52ecdde9818217457ff47358e05ab8a8ef3f06330ced9e4dcec8b15" }, { "id": "VARIANTS", "source": "File_18.md", "section": "1.3 tradition-specific variant forks", "line_start": 620, "line_end": 627, "text": "\nTradition-scope clarification:\nThis 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.\n\n| Epoch / boundary | Active variants | Possible explicit date states | Handling |\n|---|---|---:|---|\n| 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. |\n| 2nd Cainan → Terah | `±215 Sojourn × +60 Terah` | four states | 2nd Cainan, Shelah, Eber, Peleg, Reu, Serug, Nahor, and Terah remain four-position. |", "excerpt_sha256": "520ba2473d3664220f028a4d96d0f28e04397e164911a0c54a8fcdcd40237bfa" }, { "id": "LXX_REMOVAL", "source": "File_18.md", "section": "1.6.2 explicit theoretical LXX removal", "line_start": 1140, "line_end": 1147, "text": "\n| Tradition / method | Handling |\n|---|---|\n| LXX Regular | Cainan is already in the baseline. `5279 BC` Adam minimum includes his `130` begetting years. No adjustment is needed. |\n| 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`. |\n| LXX Cumulative | Cainan is already in the baseline. His `460`-year lifespan is included in the chain. No adjustment is needed. |\n| MT / SP Cumulative | To restore Cainan, insert the `+460` lifespan hinge between Arphaxad and Shelah. In the cumulative table this shifts Adam through Arphaxad / Flood by `+460`; Shelah and downstream rows remain unchanged. MT cumulative with Cainan: `14006 + 460 = 14466 BC`, Moses line center. |\n| LXX theoretical removal | LXX could have Cainan removed: `5279 − 130 = 5149 BC`, Regular. This is not tracked in standard tables but remains architecturally valid. |", "excerpt_sha256": "0eb1f430961a0680cff5801032d8bbdbd123030841e36d2a7543496eae896ca1" }, { "id": "SP_LOCALITY", "source": "File_18.md", "section": "SP-only person companions and Flood separation", "line_start": 433, "line_end": 435, "text": "Machine Guard [FILE_18 SP NOAH/SHEM LOCALITY + FLOOD GEAR SEPARATION]:\n\nThe 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.", "excerpt_sha256": "57aacb11ce53ee625e98ab033b4c66199d654e0afc9b4be070baf07c8d96e677" }, { "id": "DUAL100", "source": "File_18.md", "section": "1.3.5 both Noah-bound and Arphaxad-bound modes", "line_start": 755, "line_end": 771, "text": "#### 1.3.5 Shem dual-`100` state\n\nTier: diagnostic modal-state support.\n\nActive state:\nRegular chronology; Shem `±2`; Noah-bound and Arphaxad-bound Shem states.\n\nShem carries two valid `100` states.\n\n| Shem state | Textual basis | Meaning | Handling |\n|---|---|---|---|\n| 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 |\n| 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 |\n\nThese 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.\n\nThe 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.", "excerpt_sha256": "13e799de2148cb20f111736e59df30b616b05c4f621433e1f2219692046a6a54" }, { "id": "E_P", "source": "File_46.md", "section": "explicit E/P scalar protocols", "line_start": 97, "line_end": 133, "text": "### L2. Prophetic Ratio (70/69)\n\nActive state: Key-of-23 Prophetic Expansion state.\n\n```markdown\n4830 × 70/69 = 4900\n```\n\nbecause `4830/69 = 70` and `70 × 70 = 4900`.\n\nTherefore:\n\n```markdown\n4836 BC → AD 65 = 4900\n```\n\nsince `4836 + 65 − 1 = 4900`.\n\nThe source associates this operator with Jared (the Jared / Prophetic expansion); the association is developed in §4.2.\n\n### L3. Priestly Ratio (25/23)\n\nActive state: Key-of-23 Priestly Expansion state.\n\n```markdown\n4830 × 25/23 = 5250\n```\n\nbecause `4830/23 = 210` and `210 × 25 = 5250`.\n\nTherefore:\n\n```markdown\n5256 BC → 6 BC = 5256 − 6 = 5250\n```\n\nThe source associates this operator with Luke (the Luke / Priestly expansion); the association is developed in §4.2.", "excerpt_sha256": "8d6d2a95f850c73cdd39793d33dcbf48c16a9aa41512449a1aaa28c83a1ea113" }, { "id": "E_SQUARED", "source": "File_46.md", "section": "two integral expansions of23 squared", "line_start": 363, "line_end": 365, "text": "### 6A.3 Double-expansion licensing and the appendix example\n\nA span divisible by `23²` admits two successive integral `25/23` expansions. This operator fact remains in the main body. The particular LXX `777`-overlay example formerly here, including its onward conversions, is retained in Appendix A.3 and is not independent main-chain evidence.", "excerpt_sha256": "de8d5c481a6c814c79783cf4c93dc7bbc03532cf586b955d0eca228c0857df0c" }, { "id": "J_GAP", "source": "File_02.md", "section": "6.3 gap conversion, not date or Residue Protocol", "line_start": 718, "line_end": 731, "text": "### 6.3 The 598 ↔ 600 gear shift\n\nActive operator:\nKey of 23, Enochian Expansion.\n\nNode-class note:\nThis subsection converts a gap, not a date. The 598-year gap remains a local configuration value; the 600-year result is the restored round value under the Enochian Expansion.\n\nThe ±2 ambiguity can produce a 598-year gap instead of a 600-year gap in some configurations. The Enochian Expansion restores the round value:\n\n$$598\\times300/299=600.$$\n\nClaim-status note:\nThis is an ordinary Key-of-23 whole-year conversion. It is not a Residue Protocol calculation.", "excerpt_sha256": "4e1d89f62fb9f0da131ebe826abeb68a3a60860b07ecd4abada000ca80badc9c" }, { "id": "GEARS", "source": "File_11.md", "section": "ordinary offsets; current research scope Noah/Shem/Flood only", "line_start": 46, "line_end": 53, "text": "The file records how the Shem-Ham-Japheth Gear field functions as a sliding mechanism. It distinguishes:\n\n| Gear | Figure | Operator | Directional function |\n|---|---|---:|---|\n| Gear 1 | Japheth | `+0` | Base state / Left Turn |\n| Gear 2 | Shem | `+2` | Covenant state / Straight Path |\n| Gear 3 | Ham | `+4` from Gear 1; `+2` from Gear 2 | Extension state / Right Turn |\n", "excerpt_sha256": "35502bb2332ff4408e0908f0e65310b085e278eb43bb5c331e859fcacfbd0ccf" } ], "person_baselines": [ { "tradition": "LXX", "role": "Noah birth", "rail": null, "coordinate": 3621 }, { "tradition": "LXX", "role": "Noah death", "rail": null, "coordinate": 2671 }, { "tradition": "LXX", "role": "Shem birth", "rail": null, "coordinate": 3121 }, { "tradition": "LXX", "role": "Shem death", "rail": null, "coordinate": 2521 }, { "tradition": "MT", "role": "Noah birth", "rail": null, "coordinate": 2841 }, { "tradition": "MT", "role": "Noah death", "rail": null, "coordinate": 1891 }, { "tradition": "MT", "role": "Shem birth", "rail": null, "coordinate": 2341 }, { "tradition": "MT", "role": "Shem death", "rail": null, "coordinate": 1741 }, { "tradition": "SP", "role": "Noah birth", "rail": "companion", "coordinate": 3490 }, { "tradition": "SP", "role": "Noah birth", "rail": "primary", "coordinate": 3491 }, { "tradition": "SP", "role": "Noah death", "rail": "companion", "coordinate": 2540 }, { "tradition": "SP", "role": "Noah death", "rail": "primary", "coordinate": 2541 }, { "tradition": "SP", "role": "Shem birth", "rail": "companion", "coordinate": 2990 }, { "tradition": "SP", "role": "Shem birth", "rail": "primary", "coordinate": 2991 }, { "tradition": "SP", "role": "Shem death", "rail": "companion", "coordinate": 2390 }, { "tradition": "SP", "role": "Shem death", "rail": "primary", "coordinate": 2391 } ], "Flood_G1_full430_native_bases": { "MT": 2456, "SP": 3106, "LXX": 3236 }, "reconstructed_register": [ { "record_index": 0, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 0, "Terah60": 0, "full430": 0, "center": 2245, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2245 }, { "record_index": 1, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 2460, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2460 }, { "record_index": 2, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 0, "Terah60": 1, "full430": 0, "center": 2305, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2305 }, { "record_index": 3, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 0, "Terah60": 1, "full430": 1, "center": 2520, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2520 }, { "record_index": 4, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 1, "Terah60": 0, "full430": 0, "center": 2375, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2375 }, { "record_index": 5, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 1, "Terah60": 0, "full430": 1, "center": 2590, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2590 }, { "record_index": 6, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 1, "Terah60": 1, "full430": 0, "center": 2435, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2435 }, { "record_index": 7, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood start", "Cainan": 1, "Terah60": 1, "full430": 1, "center": 2650, "base_native_Cainan": 0, "base_center": 2460 }, "reconstructed_coordinate": 2650 }, { "record_index": 8, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood close", "Cainan": 0, "Terah60": 0, "full430": 0, "center": 2244, "base_native_Cainan": 0, "base_center": 2459 }, "reconstructed_coordinate": 2244 }, { "record_index": 9, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood close", "Cainan": 0, "Terah60": 0, "full430": 1, "center": 2459, "base_native_Cainan": 0, "base_center": 2459 }, "reconstructed_coordinate": 2459 }, { "record_index": 10, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood close", "Cainan": 0, "Terah60": 1, "full430": 0, "center": 2304, "base_native_Cainan": 0, "base_center": 2459 }, "reconstructed_coordinate": 2304 }, { "record_index": 11, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood close", "Cainan": 0, "Terah60": 1, "full430": 1, "center": 2519, "base_native_Cainan": 0, "base_center": 2459 }, "reconstructed_coordinate": 2519 }, { "record_index": 12, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood close", "Cainan": 1, "Terah60": 0, "full430": 0, "center": 2374, "base_native_Cainan": 0, "base_center": 2459 }, "reconstructed_coordinate": 2374 }, { "record_index": 13, "source_record": { "tradition": "MT", "gear": 3, "role": "Flood close", "Cainan": 1, "Terah60": 0, 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1, "center": 2668 }, "reconstructed_coordinate": 2668 }, { "record_index": 492, "source_record": { "tradition": "LXX", "gear": 2, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 0, "full430": 0, "center": 2523 }, "reconstructed_coordinate": 2523 }, { "record_index": 493, "source_record": { "tradition": "LXX", "gear": 2, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 0, "full430": 1, "center": 2738 }, "reconstructed_coordinate": 2738 }, { "record_index": 494, "source_record": { "tradition": "LXX", "gear": 2, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 0, "center": 2583 }, "reconstructed_coordinate": 2583 }, { "record_index": 495, "source_record": { "tradition": "LXX", "gear": 2, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 1, "center": 2798 }, "reconstructed_coordinate": 2798 }, { "record_index": 496, "source_record": { "tradition": "LXX", "gear": 3, "role": "Noah birth", "rail": null, "Cainan": 0, 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null, "Cainan": 1, "Terah60": 0, "full430": 1, "center": 3840 }, "reconstructed_coordinate": 3840 }, { "record_index": 502, "source_record": { "tradition": "LXX", "gear": 3, "role": "Noah birth", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 0, "center": 3685 }, "reconstructed_coordinate": 3685 }, { "record_index": 503, "source_record": { "tradition": "LXX", "gear": 3, "role": "Noah birth", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 1, "center": 3900 }, "reconstructed_coordinate": 3900 }, { "record_index": 504, "source_record": { "tradition": "LXX", "gear": 3, "role": "Noah death", "rail": null, "Cainan": 0, "Terah60": 0, "full430": 0, "center": 2545 }, "reconstructed_coordinate": 2545 }, { "record_index": 505, "source_record": { "tradition": "LXX", "gear": 3, "role": "Noah death", "rail": null, "Cainan": 0, "Terah60": 0, "full430": 1, "center": 2760 }, "reconstructed_coordinate": 2760 }, { "record_index": 506, "source_record": { "tradition": "LXX", "gear": 3, "role": 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"tradition": "LXX", "gear": 3, "role": "Shem birth", "rail": null, "Cainan": 1, "Terah60": 0, "full430": 0, "center": 3125 }, "reconstructed_coordinate": 3125 }, { "record_index": 517, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem birth", "rail": null, "Cainan": 1, "Terah60": 0, "full430": 1, "center": 3340 }, "reconstructed_coordinate": 3340 }, { "record_index": 518, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem birth", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 0, "center": 3185 }, "reconstructed_coordinate": 3185 }, { "record_index": 519, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem birth", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 1, "center": 3400 }, "reconstructed_coordinate": 3400 }, { "record_index": 520, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 0, "Terah60": 0, "full430": 0, "center": 2395 }, "reconstructed_coordinate": 2395 }, { "record_index": 521, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 0, "Terah60": 0, "full430": 1, "center": 2610 }, "reconstructed_coordinate": 2610 }, { "record_index": 522, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 0, "Terah60": 1, "full430": 0, "center": 2455 }, "reconstructed_coordinate": 2455 }, { "record_index": 523, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 0, "Terah60": 1, "full430": 1, "center": 2670 }, "reconstructed_coordinate": 2670 }, { "record_index": 524, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 0, "full430": 0, "center": 2525 }, "reconstructed_coordinate": 2525 }, { "record_index": 525, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 0, "full430": 1, "center": 2740 }, "reconstructed_coordinate": 2740 }, { "record_index": 526, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 0, "center": 2585 }, "reconstructed_coordinate": 2585 }, { "record_index": 527, "source_record": { "tradition": "LXX", "gear": 3, "role": "Shem death", "rail": null, "Cainan": 1, "Terah60": 1, "full430": 1, "center": 2800 }, "reconstructed_coordinate": 2800 } ], "claim_status_matrix": [ { "claim": "Register endpoints, Gear and variant rules", "warrant": "Explicit tables and scoped rules; all528 records reconstructed from independently parsed person/Flood baselines." }, { "claim": "Matched Noah-to-Shem500 and the alternative502 binding", "warrant": "Explicit qualified source bindings; both retained with their finite Gear domains." }, { "claim": "Flood-to-Shem-death500 role relation and full loop correspondence", "warrant": "Derived from independently sourced endpoints and600-year lifespans; exact finite comparisons, not a global date operator." }, { "claim": "3395→2895 bridge and four-step chain", "warrant": "Exact derived cross-context arithmetic using source endpoints; no prescription for this combined sequence established in the reviewed passages." }, { "claim": "Source graph normal forms and commuting circuits", "warrant": "Derived affine algebra; source roles, contexts and phase qualifications remain necessary." } ], "counts": { "source_excerpt_cards": 12, "regular_records_reconstructed": 528, "new_loop_record_slots_checked": 52, "long_chain_record_slots_checked": 10, "new_source_endpoints": 0, "new_protocol_prescriptions_established": 0 }, "interpretation": "All source records reconstruct exactly. SP primary Noah death keeps its inclusive/harmonic qualification; companion and Flood-close distinctions remain explicit. Native LXX already includes Cainan; OFF uses theoretical removal. Current Noah/Shem/Flood Gear scope overrides broader historical source instructions. The500 graph, return circuits and bridge remain derived comparisons, not new canonical operators or independent witnesses." }