File: State_Vocabulary_Register_v1.55 Title: 490d State Vocabulary Register v1.55 — September 13 Pre-Pro Canonical Refresh Status: v1.55 — September 13 2026 bounded pre-Pro canonical refresh, including a same-day follow-up refinement. §D.44 supersedes the prior Abraham–Levi-only −33 scope shorthand, withdraws the over-specific 2133 BC = Nahor assignment, records 2106 BC only as a qualified symmetric Nahor-birth candidate, registers the Payne provenance distinction for 33 + 397, and retains the Shem 2558/2556 role-state clarification, cumulative-week ontology, Aaron-before-Moses phase guard, and File_18 LXX Peleg/Reu/Serug table correction. §D.43 Lamech controls remain unchanged. Prior v1.54 retained. Focused amendment verification only; no new full-file pressure test.

Prior v1.54 status note: September 8 2026 author-directed wording clarification of §D.43. 753 is attested LXX and retained as the author-preferred original LXX lifespan; 182 is restored, 571 calculated, and only their combination is component-wise reconstructed. The v1.53 numerical settlement, non-operative 188, appendix-only MT-derived LXX 777, and inherited controls remain unchanged. Prior v1.53 retained; focused verification only, no new full-file pressure test or separate source re-Finalization. Primary domain: Methodological Canonical source: Markdown Revision basis: State Vocabulary Register v1.53 frozen parent; September 8 2026 clarified File_18 and bounded File_00 source pointer; Restart Capsule v11.53; Style Guide v2.5; Project Procedures v3.5. Existing archive/manifest entries remain prior publication records, not refreshed release claims. Related files: 490d Repository Style Guide v2.5; Project_Procedures v3.5; Restart Capsule v11.53; September 6 amended File_12; September 6 amended File_22; September 6 amended File_70 Supplement A; current Final File_70; File_18 bounded Lamech-188 correction; Files 00, 01, 05, 06, 08, 09, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 29, 34, 36/P19, 43, 45, 46, 50c, 51a, 52e, 53, 54, 67, 68, and 69; Repository_Change_Archive v1.52 and Publication Manifest v24 as prior release controls; September 8 File_18/File_00/File_17/File_46/File_51a Lamech amendment/routing. September 6 Sothic and September 7 calibration trust scopes remain unchanged. Source-hierarchy wording clarification: File_18 / File_00, September 8 2026.

490d State Vocabulary Register v1.55

0. File-function

This Register is the single active home for per-file modal-state vocabulary, per-file convention updates, and per-file Machine Guards that were previously accreted into the 490d Repository Style Guide. The Style Guide v2.5 retains generic, repository-wide rules and the generic glossary entries (former §31.1–§31.37); this Register holds everything file-specific.

Numbering from the Style Guide v2.4 source is preserved exactly so that any existing cross-reference of the form Style Guide §31.x or Style Guide §32x resolves here without renumbering. A reference to Style Guide v2.4 §31.139 is now read State Vocabulary Register §31.139.

Control status: the entries in Parts A, B, and C are active controls, equal in authority to their former placement in the Style Guide. The Repository_Change_Archive holds historical records only and is non-controlling.

When new files are finalized, their state vocabulary, convention updates, and Machine Guards register here. The Style Guide and Project Procedures receive at most a one-line pointer.

0.1 File map

Machine Guard [REGISTER MIGRATION FIDELITY]: All entries below are verbatim relocations from Style Guide v2.4. Do not treat relocation as revision. If an entry appears to conflict with a repository file, resolve it exactly as it would have been resolved when the entry lived in the Style Guide.

Part A. Per-File Modal-State Glossary (migrated Style Guide §31.38–§31.167)

31.38 Three-Gear Protocol state

A File_11 state in which Gear 1 / Japheth, Gear 2 / Shem, and Gear 3 / Ham function as simultaneous Gear settings under Shem Superposition. Gear 1 is +0, Gear 2 is +2, and Gear 3 is +4 from Gear 1 / +2 from Gear 2. These settings are not corrections of one another. The active Gear, figure, operator, and dependency must be stated before applying a Gear shift.

31.39 Flood-Gear rail state

The File_11 / File_00 rail field containing 2456 BC, 2458 BC, and 2460 BC. These are distinct Gear rail states and must not be collapsed into one Flood date or one manuscript chronology. In File_02 terminology, 2458 BC remains the MT Standard-Normal / Gear-2 / Shem-axis Flood state unless a local file explicitly opens another rail.

31.40 Filling Protocol state

A File_11 state mapping cumulative Kenan / Cainan coordinates to Creation-week Days 4 / 6 / 7 and to Gear 3 / Gear 2 / Gear 1. Its default scope is the local cumulative Kenan / Cainan field. Do not generalize the Filling Protocol to unrelated Creation-week, Flood, or cumulative fields unless a controlling dependency explicitly broadens the scope.

31.41 Source-history biographical shorthand

A legacy or source-history biographical label retained for traceability without becoming an active confirmed chronological state. Example: Noah 504? in File_11 is source-history shorthand only. It must not be promoted to a confirmed biographical state unless a controlling dependency defines that state.

31.42 Priestly 336-day Ledger state

A foundational Priestly service-cycle architecture generated by 24 × 7 = 168, 168 + 168 = 336, and 48 × 7 = 336. The execution-variant invariant 24 × 14 = 336 may be noted where relevant. This state is not a failed solar year and not a replacement for the 360-day Prophetic Year or the 364-day Enochian Year.

31.43 24-course roster source-control state

A source-control state grounded in the 24 priestly courses of 1 Chronicles 24:1–19, with associated weekly service, Sabbath transition, New Testament continuity, Josephus, Mishnah, and Qumran Mishmarot witnesses. It supports the Priestly 336-day Ledger architecture but does not by itself determine every historical execution detail.

31.44 Seven-day service-period state

The Priestly service-period state in which a course serves for seven days. The standard source-control anchor is 1 Chronicles 9:25. It supports 24 × 7 = 168 when the 24 courses are treated as a half-year service ledger.

31.45 Sabbath transition-boundary state

The weekly transition boundary between outgoing and incoming priestly divisions, source-controlled by 2 Kings 11:5–7 and 2 Chronicles 23:4–8. It supports the Sabbath-to-Sabbath service-cycle architecture without requiring every local file to reconstruct temple-roster administration.

31.46 Priestly-Enochian bridge corollary

A corollary state in which four festival or epagomenal weeks bridge the 336-day Priestly Ledger to the 364-day Enochian Year: 4 × 7 = 28; 336 + 28 = 364. It does not erase the 336-day baseline and should not be treated as one mandatory historical mechanism unless a local file supplies source-control.

31.47 Priestly-Enochian half-week straddle

A File_12 dependency state in which the Priestly weekly vector and the Enochian solar Creation-week vector produce a structural 3.5-day liturgical split. Under the day-year principle, this may project as 3.5 × 360 = 1260 and compare with 3.5 × 364 = 1274. Do not generalize this state to every 3.5 value unless the active file opens that operator.

31.48 Source-control bibliography vector

A compact source-control list attached to a state or operator. For the Priestly 336-day Ledger, the vector includes 1 Chronicles 24:1–19, 1 Chronicles 9:25, 2 Kings 11:5–7, 2 Chronicles 23:4–8, Luke 1:5, Josephus Antiquities 7.365–366, Mishnah Taanit 4:2, Mishnah Sukkah 5:7–8, Qumran Mishmarot texts such as 4Q320–4Q330, and secondary scholarship such as Talmon, VanderKam, Elior, Ben-Dov, and Ratzon / Johnson. The vector supports source-control; it does not replace local arithmetic or modal-state discipline.

31.49 Christological joint-file state

A file-state in which a repository file gathers Christ-centered articulation points from multiple domains rather than proving one isolated chronology. File_13 is the current example. It touches genealogy, Creation-week, Flood-week, Conquest, Incarnation, Passion, Temple, LXX, and Mirror states. A Christological joint file may index dependency-controlled results from other files, but it must not silently convert them into local proofs.

31.50 Second-Adam / Jan-1 covenant numeric-year Mirror

A File_13 local covenant Mirror label tied to the Jan 1, AD 1 naming / circumcision hinge. It may display readable labels such as 5321 BC ↔ AD 5321 and 2801 BC ↔ AD 2801. This is not ordinary elapsed civil-span arithmetic and not automatically Protocol 1. Executable cross-axis spans still use BC + AD − 1 unless a local Mirror protocol is explicitly opened.

31.51 File_13 Passion-date pair state

A Christological Passion-date pair state. AD 33n is the preferred Friday Nisan 14/15 Passion state. AD 30n remains a possible Friday Nisan 14/15 Passion state. Nisan 14/15 remains a Gospel-calendar slash-pair. The non-Passion display members are handled separately under the AD 33n / AD 30n / AD 33t / AD 34 display-state firewall.

31.52 File_13 day-year purification display

A birth-of-Christ day-year state in which Dec 25, 1 BC is Day -6, the inclusive eighth-day circumcision reaches Jan 1, AD 1, and the traditional 40th-day purification reaches symbolic AD 33 by 39 full days. AD 34 may be retained only as a completed-period / exclusive-end purification display state. AD 34 is not a Passion-date state.

31.53 Matthew exile-bearing Abraham head bracket

A File_13 / File_43 Matthean head-envelope state generated by the overlapped exile-bearing generation. The head bracket is 2876 BC, with phase-expanded display 2877t/2876n BC → 2870t/2869n BC where exact Tishri/Nisan phase work is active. It is not Abraham's literal birth and must remain distinct from the ordinary Matthean Abraham anchor 2806 BC.

31.54 Cumulative MT Shem / Noah Mirror state

A File_13 cumulative-MT Mirror coordinate-completion state for 5436 BC ↔ AD 5436. In this state, 5436 BC is the cumulative MT birth of Shem / death of Noah field, 600 years before the 4836–4829 BC Shem-death / Flood / Arphaxad-birth field. The 536 BC/AD pivot display is a dual-side 4900-year display, not the direct civil midpoint of 5436 BC → AD 5436.

31.55 AD 33n / AD 30n / AD 33t / AD 34 display-state firewall

A master node-class firewall for File_13-related Christological date labels. AD 33n is the preferred Friday Nisan 14/15 Passion state. AD 30n is a possible Friday Nisan 14/15 Passion state. AD 33t is the Tishri-side completion member and must not be treated as a Tishri / Tabernacles crucifixion. AD 34 is a completed-period purification display state or, if separately opened as AD 34/35, an Acts expansion field. Do not collapse these labels into one Passion date and do not treat non-Passion display members as crucifixion dates.

31.56 File_13 LXX actual / rounded firewall

A state-control firewall distinguishing File_13's LXX actual Creation endpoint and Year-6 states from File_54's rounded comparison states. In File_13, 5494 BC is the LXX actual Creation endpoint, 5496 BC is the LXX Year-6 state, and 5526 BC is the LXX Year-6 +30 Apparent Age state. These do not include +60 Terah and must not be replaced by File_54's rounded 5486 BC, rounded +30 5516 BC, or Year-6 +60 5556 BC states.

31.57 Phase-resolved paired Mirror coordinate-completion

A Mirror coordinate-completion state for paired Tishri/Nisan dates. The controlling display rule is Yt/(Y−1)n BC → AD (Y−1)t/Y n when exact .5 phase-pair work is opened. This is distinct from a single-date numeric-year Mirror node and distinct from ordinary civil cross-axis span-counting.

31.57a File_43 Luke / Matthew Genealogical Bridge state

A File_43 state in which Luke and Matthew are harmonized through a locked 70-year carrier while preserving mandatory split states. It does not collapse LukeSpan with LukeIntervals, does not collapse MattSpan_BirthHinge with MattSpan_Carrier, and does not chain the P2 rails-window with the A-space bridge.

31.57b LukeSpan / LukeIntervals split state

A File_43 split between LukeSpan = 5320 = 76 × 70, the names-span from Adam to Christ as names, and LukeIntervals = 5250 = 75 × 70, the interval-count between the 76 names. Use the label required by the local calculation.

31.57c MattSpan_BirthHinge / MattSpan_Carrier split state

A File_43 split between MattSpan_BirthHinge = 2800 = 40 × 70, the Abraham to 6 BC bracket, and MattSpan_Carrier = 2870 = 41 × 70, the Abraham to AD 65 carrier bracket. Bare Matthew span should not be used where the distinction matters.

31.57d Genealogical MirrorVolume state

A File_43 span-provenance volume state defined as 8050 = LukeIntervals 5250 + MattSpan_BirthHinge 2800. It is not formed with MattSpan_Carrier and is not a formal Mirror protocol unless a local section explicitly opens such a protocol.

31.57e Seal700 state

A File_43 expansion seal generated by the ordinary Key-of-23 whole-year expansion: 8050 × 25/23 = 8750, and 8750 − 8050 = 700 = 10 × 70. It is not an independent genealogy span.

31.57f Display-table-only genealogy ledger

A File_43 display state in which the Luke / Matthew 70-year genealogy ledger is a mechanized ledger for visualization and comparison. It must not overwrite LukeSpan, LukeIntervals, MattSpan_BirthHinge, MattSpan_Carrier, MirrorVolume, expanded volume, or Seal700.

31.57g Figurative God bookend label state

A File_43 / File_54 display-label state in which God refers figuratively to Luke's Adam, son of God endpoint and to Christ the Son of God as a theological bookend. It must not be read as divine origination, a literal birth chronology for God, or a Matthean textual datum.

31.57h Double-generational knot compositional state

A File_43 compositional state in which an end-cap or middle generation may be overlapped for literary or typological framing. It is not an arithmetic input and must not replace the locked span labels.

31.57i Job-only restoration warrant state

A File_43 source-control state narrowing the double-generational-knot warrant to Job as a typological / compositional restoration analogy. Job's restored 140 years may be read typologically as 2 × 70, with a doubled-life or four-generation restoration horizon, but this does not create a local chronology proof about Job. Unclear secondary warrants should be removed or marked audit-controlled unless locally sourced.

31.57j Outer Luke rail / overlapped middle-generation state

A File_43 / File_54 dependency-controlled state in which the outer Luke rail 5356 BC → AD 5355 gives 10710 = 153 × 70, and adding the overlapped middle Christ-generation gives 10780 = 154 × 70 = 22 × 490. This explains the 153 + 1 display without altering File_43's local span locks.

31.57k Alpha-Omega 22-fold bracket state

A File_43 / File_54 typological and reception-history state in which 22 × 490 = 22 × 7 × 70 frames the start, central Christ-generation, and terminal rail as an Alpha-Omega / beginning-middle-end display. This is not a local arithmetic driver and does not prove direct Lukan, Johannine, or BJ dependence.

31.57l Revelation Alpha-Omega reception-history note

A claim-status note for using Revelation 1:8, Revelation 21:6, and Revelation 22:13 as Alpha-Omega / Beginning-End / First-Last framing. It supplies theological / typological / reception-history context, not independent chronological derivation.

31.57m BJ / Jubilees 22-fold Creation-genealogy dependency state

A dependency-controlled state in which File_53's BJ / Jubilees 22-fold Creation-genealogy witness is cited through File_54 to support the symbolic fit of a 22-fold bracket. It does not import the full File_53 proof burden into a local file unless explicitly opened.

31.57n File_43 P2 File_32 routing state

A File_43 final dependency-routing state in which active P2 rails-window and A-space bridge handling routes through bounded File_32 terminology: 36 BC ↔ 6 BC belongs to the P2 rails-window, and 6 BC ↔ AD 25 belongs to the P2 signed A-space bridge. Do not revive the removed active File_42 dependency label for File_43.

Machine Guard [FILE_43 SPAN SPLIT]: Do not use LukeSpan where File_43 requires LukeIntervals. Do not use MattSpan_Carrier where File_43 requires MattSpan_BirthHinge. Bare Matthew span is insufficient where the distinction matters.

Machine Guard [FILE_43 P2 NON-STRADDLING]: Do not chain 36 BC ↔ 6 BC ↔ AD 25 as one continuous operator. The 36 BC ↔ 6 BC relation belongs to the P2 rails-window, and 6 BC ↔ AD 25 belongs to the P2 signed A-space bridge.

Machine Guard [FILE_43 ALPHA-OMEGA NON-DRIVER]: The Alpha-Omega 22 × 490 note is theological / typological / reception-history framing. It is not a new local arithmetic operator, not a new Mirror protocol, not a substitute for File_43's genealogy locks, and not proof of direct textual dependence unless a later source-critical dependency explicitly opens that claim.

31.58 Biological-fractal state

A File_14 state in which biological, gestational, purification, and numerical structures are read as coordinated micro-chronology controls. The principal values are 270, 275, 276, and 280, but each value retains its own node-class and operator.

31.59 Variant-gap gestation state

A File_14 state in which the manuscript variant gap functions as a gestational structure. 275 is the variant gap; 270 and 280 arise by diagonal measurement; 276 arises only when the full Creation-year boundary extension is included.

31.60 Sequential variant-gap anatomy

The decomposed File_14 display 60 + 155 + 60 = 275. It names the sequential anatomy of the variant field and must not be collapsed into the compressed boundary display without restating the active state.

31.61 Compressed boundary display

The File_14 display 60 + 215 = 275. It is a compressed boundary form used in Triple-1656 contexts. It preserves the same 275 gap but does not replace the sequential anatomy 60 + 155 + 60 = 275.

31.62 276 full-year boundary-extension state

A File_14 boundary-envelope state generated by adding one full Creation year to the 275 variant gap. The controlling Year-6 example is 4176n BC → 3901n BC = 275; 3901n BC → 3900n BC = 1; therefore 4176n BC → 3900n BC = 276. This preserves 275 as the variant gap and permits the exact conversion 276 × 70/69 = 280.

31.63 Triple-1656 Spine

A File_14 structural state in which LXX Maximum, MT Minimum, Flood, and Fall-of-Jerusalem date-states align through repeated 1656 spans. This state must preserve its active endpoint and boundary labels, especially 5555 BC, 5554 BC, 3899 BC, 3898 BC, 2243 BC, 2242 BC, 587 BC, and 586 BC.

31.64 Typological mirroring

A reciprocal or reflected typological structure that uses mirror-like language without opening formal repository Mirror target-generation. In File_14, the 40 + 40 purification material uses typological mirroring / reciprocal-structure language, not File_00 foundational Mirror protocol.

31.65 LXX Maximum node-label state

A File_14 state separating the LXX Maximum Creation labels by node-class: 5561 BC as Creation Week opening / Year-1 display; 5560 BC as Year-1-end display; 5556 BC as Year-6 / Adam-state display; 5555 BC as Year-7-start boundary; and 5554 BC as endpoint / Year-7-end display. Do not collapse these labels into one LXX Maximum date.

31.66 587/586 BC adjacent Fall of Jerusalem date states

A File_14 date-pair state in which 587 BC is an allowed Fall of Jerusalem date and the local exact Triple-1656 terminus under Year-7-boundary reckoning, while 586 BC remains the primary repository Fall of Jerusalem / schematic endpoint state. The label 587 BC must not be treated as merely a non-historical boundary short of Jerusalem's fall.

31.67 Precessional-day component-display convention

A File_14 display convention for precessional tables in which an added year value is first stated arithmetically and then expressed in standard 72-year precessional-day units. Examples: 144 = 72 × 2 = 2 precessional days; 432 = 72 × 6 = 6 precessional days; 72 = 72 × 1 = 1 precessional day. This is a display convention, not a Residue Protocol and not ordinary elapsed-day arithmetic.

31.68 Authorized generational-unit state

File_15's state in which Abrahamic 100, Jacobean 70, and Mosaic 40 function as authorized generational units. These values must not be treated as generic interchangeable component values unless the File_15 state is active.

31.69 Call-to-death generational-span register

File_15's authorization rationale in which Abraham 75 → 175 = 100, Jacob 77 → 147 = 70, and Moses 80 → 120 = 40 define the three authorized generational units. The exact spans are dependency-controlled arithmetic facts; the unifying rationale is structural inference.

31.70 Exact normalized generational triad

The exact File_15 ratio state 100:70:40 = 10:7:4. This form replaces proof-bearing decimal approximation in generational-unit comparisons.

31.71 Abrahamic-base generational fractions

The File_15 fractional display 10/10, 7/10, and 4/10 = 2/5, using the Abrahamic 100 as base. Preserve the exact fractions and do not replace them with approximate decimals unless preserving source-history display.

31.72 Generational LCM state

The File_15 convergence state LCM(40, 70, 100) = 1400. The value belongs to the authorized generational-unit triad and must not be treated as an ordinary span-family value without naming the active state.

31.73 Ordered endpoint-pair display

A bracket display in which the first member of one side pairs with the first member of the other side, and the second member pairs with the second member. File_15's 1406–1399 BC → 6 BC–AD 2 is the controlling example: 1406 BC → 6 BC and 1399 BC → AD 2 are active. The display does not imply that every internal cross-pair has the same value.

31.74 File_15 restored cumulative Cainan dependency state

The File_15 state preserving 14466 BC → 6 BC = 14460 as a same-side arithmetic fact while leaving the restored cumulative Cainan mechanism dependency-controlled. Do not collapse this state with regular restored 2nd Cainan +130.

31.75 Raw data source state

A file-state in which the file supplies base chronological rows, tables, and lookup values for other rule-source files. File_18 is the current example. A raw data source may preserve dependency-controlled operators without locally re-proving every operator it tabulates.

31.76 Minimum baseline table state

A table-state in which displayed rows give the minimum baseline values and variant values are derived only by named operators such as +60 Terah, +215 Sojourn, +275, restored regular 2nd Cainan +130, or restored cumulative 2nd Cainan +460. Do not treat a derived variant as a correction of the baseline.

31.77 Source-table state

A state in which the values in a table are governed by the active source tradition and table method. A source-table state may differ from another table in the same file because the method, witness tradition, or correction rule differs. Do not harmonize source-table values unless the local file explicitly opens that harmonization.

31.78 Shared year-label state

A year label occupied by multiple node-classes or traditions. Identity requires state, node-class, tradition, and operator agreement. 1876 BC is the main repository-wide example, but other labels may function similarly.

31.79 Envelope member-label

A displayed member inside a range, week, or envelope. The member-label may be upper, lower, terminal, interior, Tishri, Nisan, or phase-resolved. It must not be treated as a correction of the whole envelope unless the local file states that it replaces the envelope.

31.80 Phase-resolved envelope member

An envelope member whose identity depends on an explicit Nisan / Tishri phase-state. Example: File_18 resolves the MT cumulative Peleg member 3495t as the Tishri terminal member of the parallel Peleg span 3502t–3495t BC, paired with the Nisan span 3501n–3494n BC.

31.81 Website-to-minimum adjustment state

A source-history conversion state in which older website tables are translated back to repository minimum baselines by subtracting active website variants such as +215 Sojourn, +60 Terah, or +275. Preserve this as a publication-source adjustment, not as a new chronology.

31.82 SP Shem Superposition

The Samaritan Pentateuch Shem state in which Shem legitimately occupies both Noah-bound and Arphaxad-bound toggle positions. File_18 expresses this through the 599+ / 600 Noah-year issue and the 2990/2991 BC / 2390/2391 BC Shem pair. This state may ripple backward toward Adam but must not propagate forward past the Arphaxad-bound post-Flood row unless a local file explicitly opens that effect.

31.83 Abraham / Terah four-position field

The File_18 variant field in which Abraham has two birth states, 1951/2166 BC, while Terah has four birth/death states because the +60 Terah state doubles the ±215 Sojourn field. The four Terah states are 2021–1816 BC, 2081–1876 BC, 2236–2031 BC, and 2296–2091 BC. Terah's begetting display is 70/130 state-dependent. This field remains four-position through 2nd Cainan if restored 2nd Cainan is inserted; the eight-position field begins at Arphaxad / Flood and propagates back to Adam.

31.84 2nd Cainan variant-boundary state

The File_18 state in which restored 2nd Cainan is inserted between Arphaxad and Shelah without making 2nd Cainan himself an eight-position row. 2nd Cainan retains four possible dates, like Terah: births 2611/2551 BC and 2396/2336 BC; deaths 2151/2091 BC and 1936/1876 BC. The eight-position field begins with Arphaxad / Flood and propagates 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.

31.84a Pentateuchal Funnel / all-even structural harmony state

The File_18 structural state in which the restored-2nd-Cainan variant-count ladder maps onto the four primary Pentateuchal narrative arcs. When the full restored-Cainan regular chronology field is explicitly opened, Creation → Flood corresponds to 12 generations and 8 possible date states; Flood → Abraham corresponds to 8 generations and 4 possible date states; Abraham → entering Egypt corresponds to 4 generations and 2 possible date states; Egypt → Conquest / death of Moses corresponds to 2 floating generations and 0 direct regular pivot dates.

Claim-status note: The generation counts and variant counts are arithmetic / table-structure facts once the active restored-Cainan state is opened. The mapping to the Pentateuchal narrative arcs is structural inference and theological / providential synchronization. It is not a new operator and must not alter table rows.

31.84b Cainan macro-vector B6 state

A File_16 / File_18 dependency state in which the MT Cumulative + 2nd Cainan table-source values supply macro-vector coordinates for the 1876 BC Nexus. File_18 supplies Cainan 4858–4851 BC, Shelah / convergence envelope 4398–4391 BC, selected 4396 BC, regular Cainan 2551–2091 BC and 2336–1876 BC, and lower-bound Entry 1661 BC. File_16 controls the Category B / B6 classification through 2300, 2520, 2730, and 1260 → 1290 → 1260. This state does not add Category A event-node witnesses and does not replace the regular +130 / cumulative +460 Cainan distinction.

31.84c Audit-controlled 2307 / solar companion state

A companion audit state associated with the Cainan macro-vector. The same-side checks 4858 − 2551 = 2307 and 4398 − 2091 = 2307 may be retained as exploratory sanctuary / Hanukkah-style material. The solar comparison remains audit-controlled because 4398 − 1661 = 2737, while 7.5 × 365 = 2737.5 before a phase-resolved calendar dependency is opened. Do not promote either companion into an active operator unless a later sanctuary / Hanukkah / phase-resolved solar file explicitly does so.

31.85 File_18 LXX corrected source-table state

The File_18 main LXX component-wise reconstruction uses Lamech 182/753 in both Regular and Cumulative execution; 571 is calculated and no surviving joint attestation is identified in the reviewed sources. Nahor retains 208. LXX 777 is appendix-only; transmitted 188 is non-operative, with a qualified Key-of-23 hypothesis at File_18 §4A. Current hierarchy: §D.43.

31.86 MT cumulative Peleg phase-resolved Mirror application

The File_18 application of File_09 phase-resolved Mirror rules to MT cumulative Peleg. The Nisan span is 3501n–3494n BC; the parallel Tishri span is 3502t–3495t BC. The 3495t member is a Tishri terminal member, not an error in the envelope.

31.87 SKL Pillars +30 Apparent Mode target

A dependency-controlled SKL display-state in which Pillars of Time rows become executable only when the active +30 Apparent Mode rail is named. Do not treat the Pillars row as ordinary whole-year arithmetic outside its rail state.

31.88 Cumulative Flood / SKL Long Day-2 target

A dependency-controlled display-state in which cumulative Flood and SKL Long Day-2 comparisons require the SKL Long target. Do not mix the SKL Short target into this row.

31.89 Tammuz → Abraham dependency-controlled span

A File_34-controlled SKL / Berossus span. File_18 may preserve 360 × 360 = 129600 as a table datum, but dependent files must not locally rederive it unless the File_34 operator field is opened.

31.90 Total SKL span +720 rail

A display-state in which the total SKL span 453600 = 1260 × 360 checks only when the SKL Short Pre-Creation +720 rail is active. Do not use this value as a generic SKL total without naming the active rail.

31.91 Source-retained design claim

A design or proof statement retained from source because it preserves the author's theological or structural interpretation. Such claims must be classified by claim-status and may function as structural inference, theological note, providential synchronization, or dependency-controlled claim rather than replacing arithmetic facts.

31.91 Dependency-controlled SKL textual datum

An SKL / Berossus datum preserved in a local file because the table requires it, while full derivation remains controlled by File_34 or another SKL dependency. The local file may cite the datum but must not silently fill in missing derivation.

31.92 Author-resolved Etana SKL row

The File_18 SKL row where Etana displays 1500 years and 11696–10136 BC, while ordinary same-side subtraction gives 1560. File_21 resolves the row by preserving 1500 as the source-retained reign value, preserving 11696–10136 BC as the visible variant range, and making the proof-bearing harmonic the opening-anchor relation: 11696 − 1406 = 10290 = 210 × 49. Do not develop the row around 49 × 40, and treat 116936 BC as a typo for 11696 BC if that malformed label appears in legacy material.

31.93 Rounded Scaffold non-retrojection state

A state-control rule derived from File_22 finalization: clean, mod-10, harmonically regular, Mirror, SKL mod-10, 10x-scaled, or apparently rounded values must not be identified with the File_51a Rounded Scaffold unless the local section explicitly opens the Rounded Scaffold state.

31.94 Patriarchal Quartet scalar state

A File_22 cumulative harmonic state in which Abraham 175, Isaac 180, Jacob 147, and the minor note 130 function as scalar values for the Cumulative MT harmonic argument. Preserve the scalar state without turning it into an ordinary biographical proof unless the local file opens that use.

31.95 Cumulative-Regular Decimal Bridge state

A File_22 state connecting actual cumulative chronology and actual regular chronology through the 9890/989 relation. It is a Cumulative MT / Regular MT bridge and not the File_51a Rounded Scaffold unless a local section explicitly opens the rounded counterpart.

31.96 9890/989 Decimal Bridge

The File_22 bridge in which the actual Creation-level macro-gap 9890 corresponds by 10x scale to the actual Abraham-to-Exodus micro-gap 989. The 9890 value may display as endpoint / lower-bound pairs or as internal Year-6 / Adam-state pairs when the active node-class is stated.

31.97 Actual 9890 versus rounded 9900 firewall

The 9890 cumulative-to-regular MT Creation bridge belongs to File_22 actual chronology. The 9900 counterpart belongs to File_51a rounded chronology. These are comparable but non-identical states. Do not correct 9890 to 9900, and do not read 9900 backward into File_22 unless Rounded Scaffold is explicitly opened.

31.98 Cumulative Shem birth-week state

A File_22 state generated by applying the 8575 MT cumulative lifespan total from Adam through Noah to the cumulative Creation-week register. In this state, 5436n BC is the Nisan head / upper member of the cumulative Shem birth-week, while 5431n BC is an internal Year-6 coordinate in the same birth-week.

31.99 Endpoint / lower-bound versus Year-6 / Adam-state pair

A Creation-week node-class distinction used in File_22. 14004/4114 is the Nisan endpoint / lower-bound form of the 9890 = 23 × 430 bridge; 14006/4116 is the internal Year-6 / Adam-state form. Both may be valid under their active node-class.

31.100 Levitical Aaron/Moses 3.5-phase display

A File_22 phase-sensitive display in which the ordinary Aaron/Moses 3-year branch and the Tishri/Nisan phase-resolved 3.5-year branch remain simultaneous. Decimal-looking values such as 1446.5 BC must be treated as phase-state displays, not ordinary decimal chronology.

31.101 Jared / 2nd Cainan 460 ladder

A File_22 Watcher / Cainan state connecting Jared and restored 2nd Cainan through 460, 2300, 4600, and related scalar forms. Preserve whether a row is cumulative, regular, lifespan, birth-transfer, or dependency-controlled.

31.102 Birth-transfer composite 6900 state

A File_22 composite harmonic state in which 4600 + 2300 = 6900 = 15 × 460 joins Jared and regular restored 2nd Cainan's birth through birth-transfer structure. It is not a direct same-side span to the death of 2nd Cainan at 2091 BC.

31.103 File_22 Residue Protocol state

The File_22 residue cluster in which values such as 0.575, 1.75, 7.5, 35, and 42 operate only under Residue Protocol, physical residue, conceptual residual-display, or residual day-year lift. Do not feed these display constants back into ordinary whole-year Key-of-23 date arithmetic.

31.104 12558 harmonic root state

A File_22 harmonic-root cluster involving 12558, 12740, 12600, 13650, and related expansion displays. Treat it as a File_22 state unless another file explicitly reopens the derivation.

31.105 Unified 490 harmonic state

A File_22 state connecting regular and cumulative harmonic displays through 490, including values such as 2940 = 6 × 490, 12740 = 26 × 490, and 10750 = 25 × 430 where the active file opens them.

31.106 Decimal Invariance

A File_25 explanatory reference-file state in which selected Deep Time, SKL, cumulative, biblical historical, and restoration-field nodes are displayed in 1/10 or 10x relation. Decimal Invariance is a structural inference from state-controlled arithmetic displays, not by itself a replacement of any historical anchor, SKL rail, cumulative coordinate, civil cross-axis span, or Rounded Scaffold value.

31.107 Decimal-shadow display

A display-state in which a larger coordinate is divided by 10, or a smaller coordinate is multiplied by 10, to show visual or structural resonance. Examples from File_25 include 20916 ÷ 10 = 2091.6, 14466 ÷ 10 = 1446.6, and 445.6 × 10 = 4456. Decimal-shadow values do not replace historical anchors unless a local file explicitly opens an exact date-state.

31.108 Finite-decimal display state

A local print-state for finite decimal values such as 445.6, 2091.6, and 1446.6. In File_25, 445.6 is executable because 445.6 × 10 = 4456; the source-retained 445.(6) form remains source-history residue unless a later file opens a repeating-decimal operator.

31.109 Biblical 10x Mirror-scale display

A File_25 display-state in which biblical chronology is read through rounded 10x Mirror-scale intent. It is not identical to exact civil cross-axis counting and not identical to the SKL / Rounded BC + AD − 2 display. Some biblical rows may also check under civil background, while others remain display-state only.

31.110 Mod-10 display intent

The local File_25 term for rounded 10x display intention. It may describe biblical 10x Mirror-scale rows without forcing those rows into the SKL / Rounded BC + AD − 2 operator. Where the SKL / Rounded operator is active, that separate state must be named.

31.111 Nehemiah 10x backbone

The Daniel 9 / Artaxerxes wall-decree display in which 445.6 × 10 = 4456 and the Nehemiah decree field is shown as 445 BC → AD 4456 = 4900 = 10 × 490 where the File_25 biblical 10x Mirror-scale display is active. The historical wall-decree anchor remains 445 BC by dependency.

31.112 Restoration-decree weave

A bounded File_25 Daniel 9 restoration-field display in which the 536 BC return / Daniel revelation node participates inside the Nehemiah 4900 field. File_25 records 4456 BC → 536 BC = 3920 = 8 × 490 and 536 BC → AD 445 = 980 = 2 × 490 as a concise weave, while leaving the full Daniel 9 decree pattern for later files.

31.113 SKL Long 24510 terminal state

A Sumerian B / SKL Long terminal relation controlled by File_21 and File_24. File_25 cites 27366 − 2856 = 24510, with 24510 = 57 × 430 = 19 × 1290 and 24510 = 24500 + 10. This state supports the Exodus / AD 2856 10x display without opening the Rounded Scaffold.

31.114 BC/AD counterpart display-label state

A state in which BC-side and AD-side labels share the same numeral but remain axis-specific counterpart display labels rather than identical nodes. File_25 examples include 4456 BC / AD 4456, 2856 BC / AD 2856, and 2736 BC / AD 2736.

31.115 Source-title / local axiom language

A claim-status control for titles or source thesis labels such as File_25's Law. The wording may be retained as source-title or local axiom language without promoting the claim to a repository-wide foundational axiom or making audit-controlled rows proof-bearing.

31.116 Decimal Invariance structural inference

The claim-status of the repeated Decimal Invariance pattern in File_25. Checked arithmetic rows remain arithmetic facts; the statement that those rows instantiate Decimal Invariance is structural inference; larger theological meaning is providential synchronization where opened.

31.117 Providential synchronization for 10x Mirror-scale display

The theological interpretation that state-controlled 10x Mirror-scale alignments may participate in a larger providential mathematical grammar. This claim-status does not replace arithmetic verification, historical anchor control, or dependency boundaries.

31.118 Samaria Node schematic envelope state

A File_00 schematic envelope state for the collapse of the Northern Kingdom of Israel. The actual Fall of Samaria remains late 722 BC ±1, after a siege beginning about 725 BC. The schematic envelope is 726–721 BC. The 726 BC member may represent the idealized start of the three-year siege, the idealized fall of Samaria, or the conceptual collapse-point of the Northern Kingdom. The 721 BC member is the terminal / latest-fall label of the same node. Do not force the actual fall date to equal either endpoint.

31.119 Actual Fall of Samaria state

The historical state in which Samaria falls in late 722 BC ±1, after a siege beginning about 725 BC. This state remains distinct from the schematic Samaria Node and does not carry the File_00 structural arithmetic by itself.

31.120 Israel literal-reign schematic ledger

A File_00 schematic ledger in which the stated reigns of Israel's kings are counted at the year level without harmonizing co-regencies or overlaps. The ledger is conceptually back-projected onto the 967/966 BC Temple node and lands in the 726/725 BC Samaria onset field. It does not correct Jeroboam's actual accession, the actual beginning of the Northern Kingdom, or the actual late-722 BC fall of Samaria.

31.121 Samaria / Jerusalem twin-city judgment vector state

A File_00 / File_16 dependency state in which the 1876 BC Nexus generates two sister-city judgment horizons: 1876 BC → 726 BC = 1150 for Samaria and 1876 BC → 586 BC = 1290 for Jerusalem. The interval between the schematic Samaria onset and Jerusalem is 726 BC → 586 BC = 140 = 2 × 70.

31.122 Samaria Node / Immanuel 720 overlay state

A File_00 overlay state using File_19 and File_13 dependencies. The governing chain is 1446 BC → 726 BC = 720, 726 BC → 6 BC = 720, and 721 BC → 1 BC = 720. The same 720 corresponds to 360 + 360 and to the Dial of Ahaz precessional state 10 × 72 = 720. It does not change the File_13 dual Christ-anchor controls.

31.123 Samaria Node three-tradition Creation overlay state

A File_00 comparative overlay in which the LXX, SP, and MT Creation rails align with the Samaria / Temple field: LXX 5556 BC → 726 BC = 4830; 4830 × 70/69 = 4900; SP 4416 BC → 966 BC = 3450; MT 4176 BC → 726 BC = 3450; 3450 × 70/69 = 3500. The 240-year SP / MT Creation differential is reproduced as 966 BC → 726 BC = 240.

31.124 Abrahamic 240-cycle overlay state

A File_00 Samaria Node overlay using Abraham's birth at 2166 BC, the Temple node at 966 BC, and the Samaria onset label 726 BC: 2166 BC → 966 BC = 1200 = 5 × 240; 966 BC → 726 BC = 240; 2166 BC → 726 BC = 1440 = 6 × 240 = 4 × 360.

31.125 Samaria Node sub-year marker exploratory note

A non-load-bearing File_00 exploratory note in which short Northern reigns may mark schematic years inside the Israel literal-reign schematic ledger. The Zimri / Omri field is displayed as 22 + 2 + 24 + 2 = 50, placing 966 − 50 = 916 BC; 1406 − 916 = 490. The Zechariah / Shallum / Menahem field is displayed as 916 − 150 = 766 BC; 2166 − 766 = 1400; 2066 − 766 = 1300. This note is exploratory and does not correct actual regnal chronology.

31.125a Divided Kingdom actual / schematic route-triad state

A File_00 Samaria Node state naming the active route before applying Kings schematics: actual division 930 BC; Southern Kingdom / Kings of Judah schematic route 980 BC; Northern Kingdom / Kings of Israel schematic route 966 BC. Supporting displays are 980 − 930 = 50 and 966 − 930 = 36. Name the active route-state; do not blend routes.

31.125b United / Divided Kingdom 360/365 overlay state

A File_00 schematic Kingdom sweep through Saul, Temple, Samaria, and Jerusalem: 1086 BC → 966 BC = 120 = 3 × 40; 1446 BC → 1086 BC → 726 BC = 360 + 360; 1086 BC → 721 BC = 365; 1086 BC → 586 BC = 500. Schematic overlay; not harmonized regnal chronology.

31.125c Samaria / Jerusalem Pillar metric state

A Pillar-facing precessional corroboration of the sister-city field: 726 BC → AD 29515 = 30240 = 420 × 72 and 586 BC → AD 29515 = 30100 = 420 × 71⅔, using civil cross-axis span BC + AD − 1. It corroborates but does not replace the File_16-dependent twin-city judgment vector.

31.125d Abrahamic-to-exile trunk pattern state

A File_00 trunk display showing 726 BC as intrinsic to the Abrahamic-to-exile trunk independent of the Pillar metric: trunk nodes 2166 / 1446 / 726 / 586 / 446 BC; branch nodes 1086 / 1016 / 966 BC.

31.125e Samaria Node 276 → 280 flattening state

The state explaining how the actual siege / fall field flattens into the schematic 726–721 BC node: 722/721 BC → 446/445 BC = 276; 276 × 70/69 = 280; 726/725 BC → 446/445 BC = 280. Related File_13 context preserves 275 + 1 = 276 and 276 × 70/69 = 280 as full-year boundary-extension arithmetic.

31.125f Exile-return Mirror disclosure state

The AD-side Mirror disclosure of the Babylon / return and Samaria counterpart field: 606/605 BC → 536 BC = 70/69 → 70; 536 BC → AD 725 = 1260; 539 BC → AD 722 = 1260; 536 BC → AD 445 = 980 = 2 × 490, using civil cross-axis span BC + AD − 1.

31.125g Elijah Northern Kingdom ministry overlay state

A bounded Elijah state inside the Northern Kingdom schematic route: source-control 875–848 BC; actual-history mod-5 876–846 BC; stylized Northern route 906–876 BC; optional Ahab field 905/904 BC. Supporting displays are 2166 BC → 906 BC = 1260, 2166 BC → 876 BC = 1290, 1086 BC → 906 BC → 726 BC = 180 + 180, and 1087/1086 BC → 905/904 BC → 723/722 BC = 182 + 182 = 364.

31.125h Elijah Northern-route rationale state

The rationale state binding the Elijah overlay to the Northern Kingdom / Kings of Israel route 966 BC rather than the Southern 980 BC +50 route, because Elijah is a Northern Kingdom prophet, especially in relation to Ahab and Jezebel.

31.125i Samaria temporal-conversion convergence state

The state coordinating the forward 360/364/365 displays with the backward 276 → 280 expansion around Samaria: 1086 BC → 446 BC = 640 = 40 × 4 × 4; 1086 BC → 722 BC = 364; 722 BC → 446 BC = 276; 1086 BC → 726 BC = 360; 726 BC → 446 BC = 280; 364 + 276 = 360 + 280 = 640.

31.126 Prime Quadruple scaffold state

A File_32 state in which a Prime Quadruple is {Q,Q+2,Q+6,Q+8} and all four values are prime. Q is the prime start value. This state must not be treated as a date until the local prime-to-polarity operator is applied.

31.127 Prime start value state

The OEIS A007530 start value Q of a Prime Quadruple. It is a prime-sequence value, not a civil date and not a rails-space coordinate by itself.

31.128 Positive-polarity date-output / rails-space B⁺/M⁺ state

The ordinary File_32 positive-polarity prime-date output. B⁺ = Q − 5; M⁺ = Q + 25; M⁺ − B⁺ = 30. Where the Prime–Civil Interface is opened, these are primary positive-polarity date coordinates. They are not Coordinate Mirror / Protocol 1 and they are not generated by the negative-polarity operator.

31.129 M rail / apparent rail +30 state

The File_32 same-side apparent rail formerly compressed in older source tables as Mirror (+30). It means M⁺ = B⁺ + 30 = Q + 25. It is not the same as Coordinate Mirror / Protocol 1, raw prime-space cross-polarity, civil cross-axis span-counting, Protocol 2, SKL rounded mod-10 Mirror display, or inverse-number reversal.

31.130 Raw prime-space cross-polarity state

A signed prime-lattice operation in which the quad reverses across polarity: {Q,Q+2,Q+6,Q+8} ↔ {−(Q+8),−(Q+6),−(Q+2),−Q}. Raw cross-polarity is a lattice operation and not a civil date by itself. It must not be collapsed with positive B⁺/M⁺, negative-polarity / signed A-space date output, Coordinate Mirror, or an invented +60 rail.

31.131 Negative-polarity / signed A-space date-output state

The corrected File_32 / File_33 / File_35 state in which negative polarity may generate primary date coordinates when signed A-space rendering is explicitly opened. The ordinary operator is N⁻₁ = Q − 16 and N⁻₂ = Q + 14, with P1 handled as an exception where needed. For P2, this gives the negative-polarity / signed A-space bridge 6 BC / AD 25; for P23, it gives AD 31705 / 31735; for P34, it gives AD 81025 / 81055.

31.132 Coordinate Mirror / Protocol 1 secondary-agreement state

A civil counterpart display such as n BC → AD (n − 1) or AD n → (n + 1) BC. In the corrected prime-polarity hierarchy, Coordinate Mirror is normally secondary agreement after a positive or negative polarity date coordinate already exists. It is not raw prime-space cross-polarity and does not replace polarity generation unless a local file explicitly gives Mirror proof burden.

31.133 P2 positive / negative polarity baseline state

The corrected P2 baseline keeps two primary polarity outputs distinct:

P2 positive rail-window: 6 BC / 36 BC
P2 negative-polarity / signed A-space bridge: 6 BC / AD 25

The P2 rails-window and the P2 negative-polarity / signed A-space bridge are related by the prime-grid grammar, but they are not one continuous arithmetic operator.

31.134 Modulo 210 corridor state

A prime-space corridor state for ordinary Prime Quadruple centers. After the P1 exception, ordinary quad centers fall in 15, 105, or 195 mod 210. Cross-polarity sends 15 ↔ 195 and fixes 105.

31.135 No-+60 ordinary prime-rail guard

A File_32 Machine Guard. The ordinary positive prime rail is only B⁺/M⁺, separated by 30. A +60 value may appear only under a separately named operator, dependency-controlled later state, or macro-Mirror state. Do not add a default +60 rail to repair P31 or other bisection language.

31.136 P23 trunk / polarity-square state

The File_32 / File_33 P23 trunk state in which P23 is the central Prime Harmonic anchor. Keep P23 start 31721, positive-polarity dates 31716 BC / 31746 BC, negative-polarity dates AD 31705 / 31735, secondary Coordinate Mirror displays, and raw prime-space cross-polarity distinct. The P23 polarity-square lock preserves 31740 = 23 × 23 × 60.

31.137 P23 k+8 end-value state

The File_37-dependent state in which the terminal member of P23 is used: 31729 = 31721 + 8. This state is distinct from the P23 start value 31721 and is required for File_37 sums such as 31729 + 157271 = 189000 and 31729 + 295871 = 327600.

31.138 Formation Wobble statistical state

The File_32 pairwise k-difference enrichment scan. The recomputed Direction Summary value for P23 is +50.669% ≈ +51% over n = 10 to 30, with peak +153.333% at n = 10. Treat the Wobble as a freshly recomputed statistical result under the reconstructed File_32 metric, not as a formal probability model for providential design by itself.

31.139 File_33 Ordinal Lock / Ordinal Authentication state

A File_33 state in which a prime-grid target is tested by both Value Lock and Ordinal Lock. The Value Lock uses the Prime Quadruple value or rail-derived anchor. The Ordinal Lock uses the ordinal n of the Prime Quadruple through patterns such as n² × Unit or n × Constant. This state is final in File_33, but it remains non-retrojected into File_32 as File_32's ordinary local base operator.

File_33 also preserves the Ordinal Squared pattern as a strong observed tendency, not as a declared universal axiom beyond the tested range.

31.140 P23-P46-P69-P92 dependency-controlled state

A File_37-controlled prime-grid extension involving the P23-P46-P69-P92 tetrad, P23 k+8, 189000, P23-P46 forward cross-rail span 125580, P69 Shem-birth / lifespan encoding, P92 1380 capstone, and 327600. File_32 preserves this as dependency-controlled and does not locally rederive the full tetrad. Removed loop language, the retired prime-gap derivation, and retired global variance claims are not active.

31.140A Key-of-23 Foundational Prime Set

The File_37 label for {5, 7, 11, 13, 17, 19, 23} when the set is used as P1 5 plus the Exceptional Sextuplet. The set becomes mod-30 complete when the Key of 23 expands 23 → 25, yielding 5 + 25 = 30, 7 + 23 = 30, 11 + 19 = 30, and 13 + 17 = 30. Do not use the narrower six-member label for the seven-member File_37 set; reserve Exceptional Sextuplet for {7, 11, 13, 17, 19, 23}.

31.140B Retired File_37 prime-gap boundary

A File_37 final-control boundary. File_37 does not derive global ±2 from a prime-internal gap model, and it does not use a retired prime-width foundation as executable proof. Actual +50 states remain valid only in their own chronology systems where locally opened, especially SKL / Berossus and Kings of Judah.

31.140C P92 tetrad capstone state

The File_37 P92 state in which P92 is the 4 × 23 member of the tetrad and functions as the 1380 capstone: 420876 − 5496 = 415380 = 301 × 1380, 420876 − 4116 = 416760 = 302 × 1380, and 420876 − 2736 = 418140 = 303 × 1380.

31.140D Prime-grid qualitative probability diagnostic

A claim-status restraint for prime-grid convergence language. Convergence may be described as structurally significant or providential synchronization, but it is not formal statistical proof unless a formal probability model is supplied.

31.141 P26 adjacent-prime symbolic / precise validation state

The File_32 / File_33 P26 state in which 51341 − 43781 = 7560 = 6 × 1260 = 21 × 360. In the Beast / Curse display, symbolic AD 666 remains a symbolic target while the precise civil 52000 = 130 × 400 landing is AD 665. This is the controlling example for distinguishing a symbolic AD target from a precise civil AD target.

31.142 P26–P50 precessional extension state

An appendix-only File_32 extension state. It may use precessional constants such as 72 and 71⅔, and later File_33 ordinal architecture may clarify rows, but the extension does not retroactively change the P1–P25 main-body Prime Harmonic proof burden.

31.143 Coordinate / span distinction

A table-control rule: a coordinate such as 67206 BC is not the same thing as a span such as 67200 = 336 × 200. Do not write coordinate values as if they were equal to span products.

31.144 Arithmetic correction by later-file confirmation

A bounded correction state in which a source arithmetic value is corrected only after the local operator and a later dependency confirm the correction. Example: File_32 corrects P24 active M rail from source-history 34876 BC to 34866 BC under 34836 + 30 = 34866, with later File_33 confirmation.

31.145 Prime-grid providential synchronization

A claim-status label for repeated checked prime-grid alignments whose meaning exceeds strictly demonstrable arithmetic or source-critical intent. It may be used alongside arithmetic fact or structural inference, but it does not replace either.

31.146 Prime-grid reception-history note

A non-proof-bearing historical-context label for external or reception-history associations attached to prime-grid targets. Such notes require source-control before they become proof-bearing historical claims.

31.147 Source-retained theorem-status label

A claim-status control for inherited labels such as VERIFIED, VALIDATED, [ESTABLISHED], [LOCKED], theorem, proof, or prediction. Preserve the source label where needed, but do not promote it to current proof status unless the local arithmetic, statistical, and dependency controls support that specific claim.

31.148 Rounded / mod-10 display-state firewall

A firewall distinguishing ordinary civil BC + AD − 1, File_32 Coordinate Mirror, File_25 biblical 10x display, File_21 / File_23 SKL rounded mod-10 display, and Rounded Scaffold Protocol 1. Use BC + AD − 2 only where the local rounded / mod-10 display state is explicitly opened.

31.149 P2 rails-window Coordinate Mirror state

The Coordinate Mirror of the P2 rails-window: P2 B = 6, M = 36; coordinate counterparts are 6 BC → AD 5 and 36 BC → AD 35. This state is distinct from the P2 A-space bridge 6 BC → AD 25.

31.150 SKL Enmenduranan / Enoch-figure 46000 state

A File_32 / File_24 dependency state in which the SKL Enmenduranan / Enoch-figure pair 45996/45966 BC lands on the Coordinate Mirror of the P2 36/6 BC rail-window: 45996 BC → AD 5 = 46000 and 45966 BC → AD 35 = 46000. It is not a direct P46 civil-span claim.

31.151 Full P31 bisection audit state

The File_32 audit state preserving the source statement 72000 + 72000 = 144000 without promoting it under ordinary rails. The checked ordinary-rail facts are P31 B − P4 M = 72216 − 216 = 72000 and P45 M − P4 B = 144186 − 186 = 144000. The full bisection requires a separately named second-side operator.

31.152 File_34 post-final citation-control state

A routing state used when dependent files cite File_34 Final; post-final pressure tested for full SKL / Berossus derivation. It replaces older File_34 source-section residue with the current File_34 map while preserving legacy labels as source history where needed.

31.153 Berossus computational-anchor state

A File_34 state in which 486 BC functions as the Berossus computational / figurative anchor for backward projection and Pillar arithmetic. It remains distinct from 536 BC as the biblical historical restoration anchor and from 539t/538n BC as the fall-of-Babylon / Persian-transition field.

31.154 Fall-of-Babylon / restoration / Berossus-anchor three-state field

A File_34 state-control field separating 539t/538n BC, 536 BC, and 486 BC. The 539t/538n BC field belongs to the fall of Babylon and Persian transition; 536 BC belongs to the biblical restoration / return field; 486 BC belongs to the Berossus computational-anchor state. Do not collapse the source shorthand 539/536 BC into a single node-class.

31.155 Precessional Envelope state

The File_34 SKL / Berossus unification state using 72, 6480, 12960, 13680, 25920, and 720. The Ideal pathway uses the upper-anchor 12960 gap. The Metonic pathway uses the lower-anchor 13680 = 12960 + 720 gap. These pathways remain simultaneous and non-collapsed.

31.156 Cosmic Pixel state

The File_34 scale-state in which 720 = 2 × 360 expresses the scaled Shem anomaly. It is related to the +2 local rail, but it is not interchangeable with the local two-year rail unless the active file explicitly shifts from local date scale to SKL / Berossus scale-state.

Active supersession (v1.47): §D.38 supplies the complete topology. The local state is −2/0/+2 about Gear 2 / Shem, and the SKL state is its exact 360:1 dilation −720/0/+720. The older sentence remains migrated source history, not the complete current guard.

31.157 SKL base / rail firewall

A File_34 firewall distinguishing SKL physical base anchors from rail anchors. The base pair is 2906 BC / 2856 BC. The +30 Apparent Mode rail pair is 2936 BC / 2886 BC. The +2 local rail produces paired displays such as 2938/2936 BC, 2908/2906 BC, 2888/2886 BC, and 2858/2856 BC. Do not treat these as one range or as corrections of one another.

31.158 SKL-to-Berossus 2370 corridor state

A File_34 Appendix B.5 corridor in which SKL rail-pair anchors are projected forward in same-side BC arithmetic by 2370 years: 2938/2936 BC − 2370 = 568/566 BC; 2908/2906 BC − 2370 = 538/536 BC; 2888/2886 BC − 2370 = 518/516 BC; 2858/2856 BC − 2370 = 488/486 BC. These are paired slash-displays. Pair each left member with the corresponding left member and each right member with the corresponding right member.

31.159 30 + 20 + 30 restoration corridor

A File_34 Appendix B.5 corridor in which 566 BC → 536 BC → 516 BC → 486 BC forms 30 + 20 + 30. The 536/516 BC pair is the central 20-year hub and is not a failed 30-year span. This mirrors the SKL-side corridor 2936 BC → 2906 BC → 2886 BC → 2856 BC.

31.160 Paired slash-display arithmetic

A state-safe arithmetic rule for slash-pairs that function as paired endpoints. Paired slash-displays must be checked componentwise. Do not treat them as ranges, averages, or free endpoint pools unless a local file explicitly opens such an operator.

31.161 Nisan / Tishri phase-chain arithmetic

A calendar-state rule for File_34 Appendix B and related phase chains. Nisan remains the unsuffixed default where the file does not open Tishri. A Tishri straddle may be present, but it remains a phase-state and must not silently replace the Nisan-default calculation.

31.162 Appendix B phase-chain dependency state

A dependency-control state for compressed File_34 Appendix B material, including Pillar spans, 720 + 180, 272160, Alulim pixel checks, and Nisan / Tishri slash-pairs. Dependent files should route this machinery to File_34 unless they explicitly reopen the active operators.

31.163 Pillar / AD target state

A File_34 civil cross-axis state for Pillar targets such as AD 29395, AD 29465, and AD 29515. Use BC + AD − 1 when computing BC-to-AD spans. Do not silently convert Pillar spans into Coordinate Mirror, Prime Mirror, inverse-number, or rounded / mod-10 display states.

31.164 Sanctuary Fractal / Key-of-23 expansion state

A File_34 state in which 27600 = 12 × 2300 and 27600 × 25/23 = 30000 are read inside the Sanctuary Fractal and Pillar framework. The arithmetic fact is separate from any structural inference or providential synchronization claim.

31.165 Authorial forward-time plus display

A source-display convention in which + language may describe movement forward through time even though same-side BC arithmetic is performed by subtraction. Preserve source display language but verify executable spans under the correct BC operator.

31.166 Expansion difference / non-Residue state

A File_34 distinction for differences such as 2400 that arise from Key-of-23 expansion or structural span comparison. Do not classify such differences as formal Residue Protocol unless the local file explicitly opens Residue Protocol state.

31.167 State-conditioned SKL +1260 display

A File_34 state for SKL anchor + 1260 displays such as 2886/2856 BC → 4146/4116 BC. The active anchor pair must be named before the display is used as proof-bearing arithmetic.

31.167a Hybrid Berossus / SKL Alulim Creation-overlay state

A File_34 comparative state in which the listed SKL eight-kings antediluvian reign total 241200 is overlaid on the Berossus Flood anchor 34566 BC, yielding 275766 BC. The coordinate is hybrid and does not replace the Berossus ten-kings span 432000, Berossus Alorus / Adam 466566 BC, native SKL Creation coordinates, or the Berossus Flood anchor. The source-retained +720 Alulim pixel check is a separate relation.

31.167b File_55 downstream thirds-marker clarification state

A dependency state in which File_55 applies its Moses-node primer to the File_34-controlled hybrid coordinate: 275766 → 184326 → 1446 BC, followed by 184326 − 2886 = 181440 = 7 × 25920. File_34 controls the origin and node-class of 275766 BC; File_55 controls the thirding operator and marker interpretation. 184326 BC is not promoted to a File_34 primary anchor.

Part B. Per-File Convention Updates and Machine Guards (migrated Style Guide §32A–§32U)

32A. File_00-Derived Convention Update

The following repository-wide conventions are adopted from the finalized File_00 revision.

1. n and t are calendar-state display labels: n = Nisan-state label; t = Tishri-state label.
2. A suffixed date must preserve its suffix unless a controlled revision explicitly converts it into an exact phase-resolved computational state.
3. Compressed slash-pairs should be expanded into full display form where AI parsing risk is present. Example: 13997/6 BC should display as 13997/13996 BC unless source-history requires the shorthand.
4. Slash-pairs paired with AD Mirror targets require node-class tagging before arithmetic. Do not treat the pair as an executable civil-span endpoint unless the file states that function.
5. Civil cross-axis spans still use BC + AD − 1; no alternate missing-year operator is introduced for slash-pairs, Mirror display states, or A-space display labels.
6. The Key-of-23 Residue Protocol is separate from ordinary whole-year conversion by 25/23, 70/69, and 300/299.
7. Physical residue uses N / 40 days only when the Residue Protocol is active.
8. Conceptual residual-display is display logic, not physical drift.
9. Residual day-year lift may explain displays such as 6.9 days → 7.0 days and 172.5 physical residue-days → 175 residual-display days, but those display constants must not be fed back into civil-date arithmetic.
10. The 294/293 ratio is an Enochian side ratio, not a Key-of-23 operator.

32B. File_02-Derived Flood / SKL Convention Update

The following conventions are adopted from the pressure-tested File_02 revision and its post-pressure SKL textual-datum, Enochian 1260 / 1274, and File_34 citation-control patches.

1. Use MT Minimum-Regular for the forward-most regular MT comparison state.
2. Use MT Standard-Normal for the normative operating MT state under the full 430 years in Egypt and without +60 Terah.
3. Do not use bare MT Regular when the minimum and standard-normal states could be confused.
4. Treat 4836–4829 BC and 5296–5289 BC as cumulative Flood Week envelopes.
5. Treat AD 65–72 as the judgment-week envelope when paired with the base rounded cumulative Flood Week.
6. AD 70 may be identified as the internal event-target of the judgment-week envelope, but it should not replace the envelope endpoints.
7. Use Sumerian A / SKL Short for the 17980-year state anchored to 2906 BC, beginning at 20886 BC.
8. Use Sumerian B / SKL Long for the 24510-year state anchored to 2856 BC, beginning at 27366 BC.
9. Label SKL rows by rail: Physical, +30 Apparent Mode, +2 local rail, or +30 +2.
10. Treat +720 scale-state as a declared SKL/Berossus cosmic-scale state, not as an automatic replacement for the local +2 rail.
11. Change SKL table headers from Textual total to Whole-year total when the appended 3 months and 3.5 days datum is preserved but not locally computed.
12. Preserve the appended SKL textual datum 3 months and 3.5 days for both SKL Short and SKL Long unless a source-specific file proves a narrower state.
13. Keep whole-year arithmetic executable locally: 20886 − 2906 = 17980 and 27366 − 2856 = 24510.
14. Keep the appended month/day function dependency-controlled by File_34 unless the file explicitly opens that operator.
15. When using the Sumerian-Christological bridge, distinguish the Pre-Creation rail from the Alulim / Adam rail.
16. The 1260 × 360 bridge may be stated as 453606 − 6 = 453600 = 1260 × 360 when the Pre-Creation +720 rail is active.
17. The Solar / Enochian split may be stated as 262806 − 6 = 262800 = 365 × 720 and 262086 − 6 = 262080 = 364 × 720 when Sumerian A / SKL Short / SKL List 1 is active.
18. The Enochian 1260 / 1274 Pre-Creation outer-bound pair may be stated as 453606 − 6 = 453600 = 1260 × 360 and 458646 − 6 = 458640 = 1274 × 360 = 1260 × 364 when the Sumerian A / SKL Short Pre-Creation backward +720 rail and the Sumerian B / SKL Long Pre-Creation forward −720 rail are active.
19. Cite or dependency-tag File_34 for SKL/Berossus derivation, the 3 months and 3.5 days function, and the +2 / +720 toggle mechanics.
20. Cite or dependency-tag File_50c where the Bipartite ±720 dual-bracket or Bipartite Grid Landing operator is doing mechanical work.

Machine Guard [FILE_02 FLOOD / SKL UPDATE]: Do not collapse the File_02 Flood/SKL terminology into older generic labels. Preserve MT Minimum-Regular, MT Standard-Normal, cumulative Flood Week, judgment-week envelope, Sumerian A / SKL Short, Sumerian B / SKL Long, +30 Apparent Mode, +2 local rail, and +720 scale-state whenever those distinctions are active.

32C. File Map and Rounded Scaffold Convention Update

The following conventions are adopted after the File_03 Joseph revision and the authorial clarification on Rounded Scaffold handling.

1. Add a File map near the top of a repository file when it improves AI retrieval.
2. Keep the File map terse, functional, and state-aware.
3. Do not let a File map become a decorative table of contents or a prose summary.
4. Before File_51a, references to Rounded Scaffold dates are clarity-only forward references unless the local file explicitly opens the Rounded Scaffold as an active methodological state.
5. A Rounded Scaffold value must not overwrite literal MT, SP, LXX, BJ, SOR, SKL, Berossus, standard, actual, or file-local chronological states.

Machine Guard [FILE MAP RESTRAINT]: A File map exists for AI retrieval and structural navigation. It must remain terse, functional, and state-aware. Do not let it become a prose-heavy table of contents or duplicate the heading hierarchy.

Machine Guard [ROUNDED SCAFFOLD FORWARD REFERENCE]: Before File_51a or another rounded-focused file, use Rounded Scaffold dates only to prevent state confusion. Do not treat them as literal chronology or as replacements for the active tradition.

32D. Machine-Ingestion Convention Update

The following conventions are adopted after the machine-ingestion / state-safe retrieval refinement.

1. Canonical Markdown remains the source layer.
2. RAG, Knowledge Graph, JSON, JSONL, embedding metadata, and prompt/response training pairs are derived extraction layers.
3. Do not reshape repository files into synthetic Q/A format merely to prepare for future fine-tuning.
4. Standardized metadata should remain compact: required fields stay fixed; optional fields appear only where useful.
5. File maps should support retrieval and state recognition, not prose summary.
6. Machine Guards should remain sparse. Add them only where a future AI system or editor could plausibly collapse a critical distinction.
7. Dense sections should identify active state, operator, node-class, tradition, claim-status, or dependency where needed for state-safe retrieval.
8. A later extraction process may convert headers, File maps, state registers, Machine Guards, claim-status notes, dependency notes, and arithmetic tables into structured AI records.
9. Derived AI records must preserve arithmetic, anchors, modal states, node-classes, sign conventions, operators, Mirror protocols, inverse-number status, claim-status labels, and dependency boundaries.
10. Already-final files do not require reopening merely because this convention was added. They may receive a future micro-patch only if their header, File map, or state-safe retrieval controls are clearly deficient.

Machine Guard [STATE-SAFE RETRIEVAL]: The purpose of AI-forward formatting is not merely to increase retrieval probability. It is to prevent retrieved material from being applied under the wrong state, operator, tradition, node-class, claim-status, or dependency boundary. Retrieval convenience must not override source precision.

32E. File_11 Three-Gear Cross-File Convention Update

The following conventions are adopted after the File_11 Second Pressure Test and cross-file update package.

1. Three-Gear Protocol state names the simultaneous Gear 1 / Japheth, Gear 2 / Shem, and Gear 3 / Ham settings under Shem Superposition.
2. Flood-Gear rail state names the distinct rail labels 2456 BC, 2458 BC, and 2460 BC. These labels are not interchangeable with one another and are not generic Flood dates.
3. Source-history shorthand such as Noah 504? must remain source-history unless a controlling dependency defines it as a confirmed biographical state.
4. Filling Protocol state is restricted to the local cumulative Kenan / Cainan field unless a controlling dependency broadens its scope.
5. File_11 Residue Protocol material must preserve the distinction between ordinary Key-of-23 whole-year conversion, physical residue, conceptual residual-display, and residual day-year lift.

Machine Guard [THREE-GEAR STATE SAFETY]: Gear 1 / Japheth, Gear 2 / Shem, and Gear 3 / Ham are simultaneous Gear states under Shem Superposition. Do not collapse them into one Flood date, one Creation anchor, or one manuscript tradition. State the active Gear, figure, operator, and dependency before applying a Gear shift.

Machine Guard [NOAH 504 SOURCE-HISTORY]: Noah 504? and similar source-history shorthand must not be promoted to an active confirmed biographical state unless a controlling dependency defines the state. In File_11, the active control is Gear 3 / Ham / +4 rail-state.

Machine Guard [FILLING PROTOCOL SCOPE]: The Filling Protocol maps Gear states to Days 4 / 6 / 7 only within the local cumulative Kenan / Cainan field unless a controlling dependency explicitly broadens the mapping. Do not use the Filling Protocol as a general Creation-week or Flood operator.

32F. File_12 Priestly 336-Day Ledger Cross-File Convention Update

The following conventions are adopted after the pressure-tested File_12 Priestly 336-day Ledger and source-control update package.

1. Priestly 336-day Ledger state names the foundational Priestly service-cycle baseline generated by 24 × 7 = 168, 168 + 168 = 336, and 48 × 7 = 336.
2. The two-week execution variant 24 × 14 = 336 preserves the same conceptual total and may be cited as a corollary / execution-variant invariant.
3. The festival-week bridge 4 × 7 = 28; 336 + 28 = 364 is a Priestly-Enochian bridge corollary, not a replacement for the 336-day baseline.
4. The Priestly, Prophetic, and Enochian registers must remain distinct: 336, 360, and 364 are parallel calendar states unless a local file states an explicit conversion or bridge operator.
5. The Priestly-Enochian half-week straddle may project as 3.5 × 360 = 1260 and compare with 3.5 × 364 = 1274, but this remains a File_12 dependency unless the active file opens it.
6. Source-control vectors may compactly list the ancient and modern sources that support a state. They do not turn every source-control witness into a local arithmetic operator.

Machine Guard [PRIESTLY 336-DAY LEDGER STATE]: The 336-day Priestly Ledger is foundational architecture, not a failed solar year. Do not demote it to peripheral context, and do not collapse it into the 360-day Prophetic Year, the 364-day Enochian Year, or the Solar Year state.

Machine Guard [PRIESTLY / ENOCHIAN BRIDGE COROLLARY]: 336 + 28 = 364 is a bridge corollary. It may connect the Priestly ledger to the Enochian calendar, but it does not erase the Priestly baseline and does not require one exact historical festival-week mechanism unless a local file supplies source-control.

Machine Guard [PRIESTLY SOURCE-CONTROL SCOPE]: The 24-course roster, seven-day service period, Sabbath transition boundary, NT continuity, Josephus witness, rabbinic Mishmarot witness, and Qumran Mishmarot witness support the Priestly architecture. Granular festival-week execution and Qumran-specific phase details remain source-control bounded unless locally made proof-bearing.

32G. File_13 Christological Matrix Cross-File Convention Update

The following conventions are adopted after the Final and pressure-tested File_13 Christological Matrix source.

1. Christological joint-file state names File_13's cross-domain function: genealogy, Creation-week, Flood-week, Conquest, Incarnation, Passion, Temple, LXX, and Mirror states touch in one Christological articulation file.
2. Second-Adam / Jan-1 covenant numeric-year Mirror names the local covenant Mirror label tied to Christ's naming and circumcision on Jan 1, AD 1. It preserves 5321 BC ↔ AD 5321 and 2801 BC ↔ AD 2801 as readable covenant labels while keeping executable spans under the civil operator BC + AD − 1 unless a named Mirror protocol is opened.
3. File_13 Passion-date pair state names the state in which AD 33n is the preferred Friday Nisan 14/15 Passion state while AD 30n remains a possible Friday Nisan 14/15 Passion state.
4. File_13 day-year purification display distinguishes AD 33 inclusive purification / Passion-center display from AD 34 completed-period purification display. AD 34 must not be used as a Passion-date replacement.
5. Matthew exile-bearing Abraham head bracket names the Matthean 2876 BC head-envelope generated by the overlapped exile-bearing generation. It remains distinct from the ordinary 2806 BC Abraham anchor and must not be treated as Abraham's literal birth.
6. Cumulative MT Shem / Noah Mirror state names the 5436 BC ↔ AD 5436 coordinate-completion state. The 536 BC/AD pivot display is a dual-side 4900-year display, not ordinary civil midpoint arithmetic.
7. AD 33n / AD 30n / AD 33t / AD 34 display-state firewall may be used as a compact master node-class label where File_13 controls are relevant to later typological or Christological comparisons.
8. Dual Christ anchor preserves 6 BC and 1n BC → AD 1n as coordinated states rather than corrections of one another.
9. LXX actual Creation endpoint state preserves File_13's 5494 BC, 5496 BC, and 5526 BC actual LXX states separately from File_54 rounded states.
10. Phase-resolved paired Mirror coordinate-completion must preserve File_09's suffix-inversion rule where exact Tishri/Nisan paired Mirror work is opened.

Machine Guard [FILE_13 CHRISTOLOGICAL STATE SAFETY]: File_13 supplies Christological state vocabulary for later files. Later files may cite these state labels for dependency control, but they must not re-prove File_13's Christological Matrix locally unless the local file explicitly opens that argument.

Machine Guard [FILE_13 PASSION-DATE / NON-PASSION-DISPLAY SAFETY]: AD 33n, AD 30n, AD 33t, and AD 34 are separate File_13 states. AD 33n is the preferred Friday Nisan 14/15 Passion state. AD 30n is a possible Friday Nisan 14/15 Passion state. Do not collapse AD 30n into AD 33n. Do not use AD 33t as a Tishri / Tabernacles crucifixion or second crucifixion date. Do not convert AD 34 purification-display language into a Passion date.

Machine Guard [FILE_13 LXX ACTUAL / ROUNDED FIREWALL]: 5494 BC, 5496 BC, and 5526 BC are File_13 LXX actual states. They must not be replaced by File_54 rounded LXX states unless the Rounded Scaffold or Year-6 +60 comparison state is explicitly active.

32H. File_14 Biological Fractals Cross-File Convention Update

The following conventions are adopted after the Final and post-final pressure-tested File_14 Biological and Numerical Fractals source.

1. Biological-fractal state names File_14's micro-chronology control layer for gestation, purification, variant-gap, and numerical-fractal structures.
2. Variant-gap gestation state preserves 275 as the variant gap while permitting diagonal 270 and 280 readings and the full-year 276 boundary-extension state.
3. Sequential variant-gap anatomy names 60 + 155 + 60 = 275; compressed boundary display names 60 + 215 = 275. Both are valid display states and neither corrects the other.
4. 276 full-year boundary-extension state is generated by including the full Creation year: 4176n BC → 3901n BC = 275; 3901n BC → 3900n BC = 1; 4176n BC → 3900n BC = 276; 276 × 70/69 = 280.
5. Triple-1656 Spine preserves repeated 1656 spans across LXX Maximum, MT Minimum, Flood, and Fall-of-Jerusalem date-states. It must not erase the ordinary 586 BC repository schematic state.
6. 587/586 BC adjacent Fall of Jerusalem date states preserves 587 BC as an allowed Fall of Jerusalem date and local exact Triple-1656 terminus, while 586 BC remains the primary repository Fall of Jerusalem / schematic endpoint state.
7. Typological mirroring distinguishes File_14's 40 + 40 reciprocal purification language from formal repository Mirror target-generation.
8. LXX Maximum node-label state separates 5561 BC, 5560 BC, 5556 BC, 5555 BC, and 5554 BC by node-class.
9. Later files may cite File_14 for gestation, purification, biological-fractal, variant-gap, Triple-1656, and Sarah-Eve typology controls where opened. Do not use File_14 to replace File_13's Christological Matrix or File_16's 1876 BC Nexus controls.

Machine Guard [FILE_14 BIOLOGICAL-FRACTAL VALUES]: 270, 275, 276, and 280 are related but distinct File_14 values. 270 is viability / 9 × 30; 280 is full-term / 7 × 40; 275 is the variant gap / average; 276 is the full-year boundary-extension state. Do not use one value to correct another without naming the active state.

Machine Guard [FILE_14 276 BOUNDARY-EXTENSION]: 276 is not a replacement for the 275 variant gap. It is generated by including one full Creation year in the Year-6 boundary envelope, as in 4176n BC → 3900n BC = 276. The conversion 276 × 70/69 = 280 is exact under the stated operator.

Machine Guard [FILE_14 587 / 586 FALL-OF-JERUSALEM STATES]: 587 BC is an allowed Fall of Jerusalem date and the local exact Triple-1656 terminus. 586 BC remains the primary repository Fall of Jerusalem / schematic endpoint state. Do not word 587 BC as merely a boundary short of Jerusalem's fall, and do not use 586 BC to erase the exact Triple-1656 587 BC state.

Machine Guard [FILE_14 TYPOLOGICAL MIRRORING]: File_14's 40 + 40 purification material uses typological mirroring / reciprocal-structure language. It does not open File_00 foundational Mirror protocol, Protocol 1, Protocol 2, inverse-number logic, or cross-axis target generation.

32I. File_15 Generational Axiom Cross-File Convention Update

The following conventions are adopted after the Final and post-final pressure-tested File_15 Generational Axiom source.

1. Authorized generational-unit state names the Abrahamic 100, Jacobean 70, and Mosaic 40 units when File_15's generational axiom is active.
2. Call-to-death generational-span register names the authorization logic: Abraham 75 → 175 = 100, Jacob 77 → 147 = 70, and Moses 80 → 120 = 40.
3. Exact normalized generational triad names 100:70:40 = 10:7:4.
4. Abrahamic-base generational fractions names 10/10, 7/10, and 4/10 = 2/5.
5. Generational LCM state names LCM(40, 70, 100) = 1400 as the synchronization point of the three authorized units.
6. Ordered endpoint-pair display names displays such as 1406–1399 BC → 6 BC–AD 2, where 1406 BC → 6 BC and 1399 BC → AD 2 are the active pairs.
7. File_15 restored cumulative Cainan dependency state preserves 14466 BC → 6 BC = 14460 as checked same-side arithmetic while leaving the Cainan mechanism dependency-controlled.

Machine Guard [FILE_15 GENERATIONAL-UNIT STATE]: The Abrahamic 100, Jacobean 70, and Mosaic 40 are authorized generational units only when the File_15 state is active. They may interact with other component families, but they must not be used to correct or overwrite those families.

Machine Guard [FILE_15 EXACT-RATIO DISPLAY]: Use exact ratio displays for the generational triad: 100:70:40 = 10:7:4, with Abrahamic-base fractions 10/10, 7/10, and 4/10 = 2/5. Decimal approximation may be retained only as source-history display.

Machine Guard [FILE_15 ORDERED ENDPOINT-PAIR DISPLAY]: The File_15 bracket 1406–1399 BC → 6 BC–AD 2 is an ordered endpoint-pair display. Use same-side BC subtraction for 1406 BC → 6 BC. Use civil cross-axis span BC + AD − 1 for 1399 BC → AD 2. Do not infer that every internal cross-pair equals 1400 unless a local file explicitly opens that stronger claim.

32I.1 Capsule absorption (June 10 2026)

(Absorbed from Restart Capsule v11.3 Appendix AB.1; wording carried verbatim.)

32J. File_18 Chronological Data Tables Cross-File Convention Update

The following conventions are adopted after the Final and post-final pressure-tested File_18 Chronological Data Tables source. File_18 is a raw data source / number-source file. It supplies table rows and dependency-controlled lookup values; it does not locally re-prove every operator it tabulates.

1. Raw data source state names File_18's function as the repository number-source paired with rule-source files.
2. Minimum baseline table state names File_18's baseline method: variants derive from the baseline by stated operators.
3. Source-table state prevents LXX regular, LXX cumulative, SP cumulative, and SKL rows from being harmonized merely because they share a tradition label.
4. Shared year-label state protects labels such as 1876 BC from node-class collapse.
5. SP Shem Superposition preserves the 599+ / 600 Noah-year ambiguity and Shem's 2990/2991 BC pair.
6. Abraham / Terah four-position field preserves Abraham 1951/2166 BC and Terah 2021/2081/2236/2296 BC birth states.
7. 2nd Cainan variant-boundary state preserves the rule that 2nd Cainan itself has four possible dates, while Arphaxad / Flood through Adam become eight-position only if restored 2nd Cainan is explicitly opened. 7A. Pentateuchal Funnel / all-even structural harmony state preserves the structural importance of the 12–8–4–2–0 ladder as a mapping of variant mechanics onto Creation → Flood, Flood → Abraham, Abraham → entering Egypt, and Egypt → Conquest / death of Moses.
8. File_18 LXX corrected source-table state preserves Lamech 182 / 753 and Nahor 208 in the active File_18 LXX tables.
9. MT cumulative Peleg phase-resolved Mirror application preserves 3495t as a Tishri terminal member inside the Peleg envelope.
10. SKL display-state rail dependency protects Pillars, cumulative Flood / SKL Day-2, Tammuz → Abraham, and total SKL span rows from rail collapse.
11. Author-resolved Etana SKL row preserves the Etana row without silently correcting either the source-retained reign value or the visible date range. Its proof-bearing harmonic is 11696 − 1406 = 10290 = 210 × 49; 49 × 40 is not the controlling relation.
12. Website-to-minimum adjustment state names legacy 490d.com table-setting conversions back to File_18 minimum baseline rows. Treat this as source-history conversion control, not as a new chronology or independent operator.
13. Source-retained design claim names inherited design language preserved with claim-status control. It may be retained where it explains the file's theological interpretation, but it must not replace arithmetic, source-state, or dependency proof.
14. Providential multi-tradition synchronization names a cross-tradition claim-status category in which MT, SP, LXX, BJ / Jubilees, SKL, Berossus, or related traditions participate in a larger providential mathematical grammar without proving direct scribal intent.
15. Dependency-controlled SKL textual datum names SKL / Berossus row material retained because File_34 supplies, or should supply, the full derivation.
16. Hezekiah prophetic complex state names the applied File_19 system in which the 701 BC / 686 BC Hezekiah field, the Dial of Ahaz, the 185000-year count-to-chronology state, the 720 precessional structure, the 430 / 490 / 215 interlocks, and the Christological targets function together. Treat it as an applied prophetic-demonstration state, not as a replacement for Exodus, Conquest, Kings, Christological, or Mirror control files.
17. Dial of Ahaz precessional state names the File_19 state in which 10 degrees / steps correspond to 720 years by 10 × 72 = 720 while preserving the alternate precessional-day display 71⅔ = 215/3 where the active file opens it. Do not use the alternate display to correct the standard 72-year precessional day.
18. AD 29515 actual Pillar state names the active civil deep-time Pillar node for the File_19 Hezekiah complex. The File_19 arithmetic is AD 184315 − AD 29515 = 154800 = 430 × 360. Legacy BC-side mirror coordinate conventions are not active unless a controlling Mirror file explicitly opens them.
19. Bidirectional prophetic span / sundial mirror names localized chronological symmetries that mimic the backward / forward physics of the Dial of Ahaz. This is not Protocol 1 Mirror target generation, not Protocol 2 phase Mirror, not civil cross-axis span-counting, not 10x Mirror scaling, and not inverse-number reversal unless a local file explicitly opens one of those operators.
20. Immanuel 65/49 crossing state names the File_17-hosted monarchy-to-return / Isaiah midpoint field transferred out of File_19. Its compact display is 930 BC → 735/734 BC → 539 BC, with 195 + 1 + 195 = 391 = 17 × 23; it also preserves the 65 and 49 crossing family where the active dependency opens it.
21. Temple 430.5 month-state bridge names the File_19 / File_17 monarchy-ledger relation 36 + 394.5 = 430.5, together with the close month-aware schematic bridge from 1016 BC second month toward Tammuz/Av 586 BC. It is a month-state bridge and must not be treated as an ordinary exact integer 430 unless the local section states that approximation.
22. Literal post-exilic 430 coreference state names the File_19 foundation-to-foundation row 967 BC second month → 537 BC second month = 430. It supplements the ordinary display 966 BC → 536 BC = 430 and does not replace the schematic 1016 BC → 586 BC Kings route.
23. 49/50 Kings dual-ledger awareness state names the relation in which 1016 BC → 967 BC = 49 while the ordinary 1016 BC → 966 BC = 50 display remains the Kings dual-ledger +50 offset. The two displays preserve adjacent-state awareness; neither corrects the other.

Machine Guard [FILE_19 HEZEKIAH COMPLEX]: When File_19 language is cited outside File_19, name the active state: Hezekiah prophetic complex state, Dial of Ahaz precessional state, AD 29515 actual Pillar state, Bidirectional Prophetic Span / Sundial Mirror, Immanuel 65/49 crossing state, Temple 430.5 month-state bridge, literal post-exilic 430 coreference state, or 49/50 Kings dual-ledger awareness state. Do not collapse those states into one generic Mirror, Kings, Temple, or Christological operator.

Machine Guard [FILE_19 PILLAR STATE]: AD 29515 is the actual civil Pillar node for the File_19 Hezekiah complex. Do not restore a BC-side Pillar coordinate into File_19 or treat a legacy BC-side convention as ordinary elapsed civil-span arithmetic unless a controlling Mirror file explicitly opens that state.

Machine Guard [FILE_19 TEMPLE 430 COREFERENCE]: 967 BC second month → 537 BC second month = 430 is a literal post-exilic foundation-to-foundation coreference. It supplements, but does not replace, 966 BC → 536 BC = 430 or the schematic 1016 BC → 586 BC route. Preserve the adjacent 967/966 BC and 537/536 BC displays as state-pairs.

Machine Guard [FILE_18 DATA TABLE SOURCE]: File_18 is a raw chronological data source. Later files may use its rows as lookup data, but must not force the table file to carry full local proof of every operator. When a File_18 row depends on another file, retain the dependency label.

Machine Guard [FILE_18 BASELINE / VARIANT FIELD]: File_18 tables present minimum baseline dates unless a local table states another active state. Derived dates require named operators: +60 Terah, +215 Sojourn, +275, regular restored Cainan +130, cumulative restored Cainan +460, or an explicitly opened SKL rail.

Machine Guard [CAINAN MACRO-VECTOR B6]: The Cainan macro-vector is a Category B / B6 dependency state controlled by File_16 and sourced from File_18 table values. Do not add new Category A event-node witnesses, do not change the 7 + 6 = 13 core inventory, and do not use the macro-vector to overwrite regular +130 or cumulative +460 Cainan handling.

Machine Guard [CAINAN 2307 / SOLAR AUDIT]: The 2307 inclusive companion and solar 7.5 × 365 comparison remain audit-controlled unless a later controlling file opens the inclusive sanctuary / Hanukkah or phase-resolved solar operator explicitly.

Machine Guard [FILE_18 SHEM STATES]: Ordinary regular-localized Shem ±2, cumulative-propagated Shem ±2, and SP Shem Superposition are distinct states. SP Shem Superposition uses the Noah-year 599+ / 600 ambiguity and may ripple backward toward Adam, but it must not propagate forward past the Arphaxad-bound row unless locally opened.

Machine Guard [FILE_18 TERAH FOUR-POSITION FIELD]: Abraham has two birth states, 1951/2166 BC. Terah has four birth/death states: 2021–1816 BC, 2081–1876 BC, 2236–2031 BC, and 2296–2091 BC. The 70/130 begetting-age display is state-dependent. Do not reduce Terah to Abraham's two-date field.

Machine Guard [FILE_18 2ND CAINAN VARIANT BOUNDARY]: When restored 2nd Cainan is inserted, do not assign eight possible dates to 2nd Cainan itself. 2nd Cainan remains four-position: births 2611/2551 BC and 2396/2336 BC; deaths 2151/2091 BC and 1936/1876 BC. The eight-position field begins at Arphaxad / Flood and propagates back to Adam only when restored 2nd Cainan is explicitly opened. Use the 12–8–4–2–0 ladder when the full generation-count state is active.

Machine Guard [FILE_18 PENTATEUCHAL FUNNEL]: When the Pentateuchal Funnel state is cited, state both layers: the generation blocks are 12–8–4–2, and the corresponding variant-count fields are 8–4–2–0. This is a structural harmony generated by File_18's variant-boundary mechanics, not merely a boundary label and not a new date operator. Preserve the four narrative arcs: Creation → Flood, Flood → Abraham, Abraham → entering Egypt, and Egypt → Conquest / death of Moses.

Machine Guard [FILE_18 LXX CORRECTED SOURCE-TABLE]: The active File_18 main LXX tables use Lamech 182/753 in both methods and Nahor 208. 571 is calculated, not an identified manuscript reading. LXX 777 is appendix-only and non-propagating; transmitted 188 is non-operative. The source and hypothesis qualifications in §D.43 govern this compact guard.

Machine Guard [FILE_18 PELEG MIRROR APPLICATION]: The MT cumulative Peleg row preserves the Nisan span 3501n–3494n BC and the parallel Tishri span 3502t–3495t BC. The 3495t value is a phase-resolved terminal member and checks inside the 4900 = 70 × 70 = 100 Jubilees Mirror application. It is not an upper-member correction.

Machine Guard [FILE_18 SKL DISPLAY-STATE RAILS]: SKL Pillars, cumulative Flood / SKL Day-2, Tammuz → Abraham, and total SKL span rows are active-rail or dependency-controlled displays. Name the active rail before using them as executable arithmetic outside File_18.

Machine Guard [FILE_18 / FILE_21 ETANA SKL ROW]: The Etana row displays source-retained 1500 years and 11696–10136 BC; same-side subtraction of the visible range gives 1560. File_21 resolves the proof-bearing use through the opening-anchor relation 11696 − 1406 = 10290 = 210 × 49. Do not silently change the terminal date or reign value, and do not develop the row around unsupported 49 × 40 language.

32J.1 1876 Cainan macro-vector capsule absorption (June 10 2026)

Machine Guard [CAINAN MACRO-VECTOR VOCABULARY CONTROL]: These rows are vocabulary control. File_16 controls Nexus proof and Category B classification. File_18 controls table-source values. Do not convert this register entry into a new operator register or a new event-node inventory.

(Absorbed from Restart Capsule v11.3 Appendix AB.2; row wording carried verbatim; the Machine Guard carries the former [APPENDIX AB CAINAN MACRO-VECTOR] content.)

32M. File_20 Book of Jubilees Fourth-Witness Cross-File Convention Update

This bounded convention update incorporates the Final, post-final pressure-tested File_20 Book of Jubilees fourth-witness controls into repository-wide state vocabulary.

File_20 treats BJ / Jubilees as a non-canonical, derivative, comparative witness. BJ / Jubilees may function as fourth witness, holographic lens, typological key, shared-tradition evidence, or providential synchronization, but it must not be treated as canonical Scripture or as an independent replacement for MT, SP, or LXX.

32M.1 File_20 state labels

32M.2 Machine Guards

Machine Guard [FILE_20 BJ FOURTH-WITNESS CONTROL]: BJ / Jubilees is a non-canonical derivative comparative witness in File_20. It may corroborate, illuminate, or synchronize with MT, SP, and LXX, but it does not replace the canonical textual traditions or become an independent primary chronology.

Machine Guard [FILE_20 BJ OFFSET STATES]: Preserve both offset states. 4200 BC − 3856 BC = 344 is the exclusive mathematical baseline. 4199 BC − 3856 BC = 343 = 7 × 49 is the inclusive-theological BJ / Jubilees offset. Do not collapse either state into the other.

Machine Guard [FILE_20 NOAH TOLERANCE LABEL]: 3149 BC ± 1 is a tolerance label for the terminus of Noah's 600th year. It must not replace the Ideal Noah label 3150 BC or the Actual Noah label 3148 BC, and the convenience titles formerly attached to those tracks are not source controls.

Machine Guard [FILE_20 BJ 500-YEAR DISPLAY]: The BJ / Jubilees 500 display runs from Abraham's call at 1906 BC to the primary Conquest at 1406 BC. It decomposes as 100 + 400 through Abraham's death at 1806 BC. Do not treat the 500 as an undefined branch span or as a correction to the MT highway state.

Machine Guard [FILE_20 JUBILEES 6 SOURCE CONTROL]: When File_20 invokes the BJ / Jubilees 364-day calendar, the controlling source cluster is Jubilees 6:30, 6:32, and 6:38, with Jubilees 6:23–38 as immediate context and Jubilees 6:37 as adjacent warning context. Do not use “scholarly consensus” as the proof-bearing source-control label for this claim.

Machine Guard [FILE_20 CROSS-MIRROR CIVIL-SPAN CONTROL]: File_20 §12.8.3 Cross-Mirror rows use civil-span mathematics where BC/AD coordinates are active. The forward calculation 5555 BC + 7000 = AD 1446 is exact under AD = span − BC + 1; cross-axis checks use BC + AD − 1. Do not treat this as inverse-number logic or a new Mirror protocol unless a later file explicitly opens that protocol.

Machine Guard [FILE_20 FORMER §14 DELETION]: The former File_20 Key-of-23 SP realignment section is deleted from the primary argument. Future use of that material requires appendix-only, exploratory, or dependency-controlled classification unless a stronger local operator is supplied.

32M.1 Capsule absorption (June 10 2026)

(Absorbed from Restart Capsule v11.3 Appendix AB.3; wording carried verbatim.)

32N. File_21 SKL Unified Protocol Cross-File Convention Update

This bounded convention update incorporates the Final, post-final pressure-tested File_21 SKL Unified Protocol controls into repository-wide state vocabulary.

File_21 is an extension-module application file. It applies the SKL 360:1 scalar and four-state algorithm while preserving dependency boundaries for full SKL / Berossus derivation (File_34) and File_50-series ±720 / bipartite mechanics.

Active supersession (v1.47): §D.38 replaces one-sided +2 / +720 wording with the full nested Three-Gear topology while retaining +2 and +720 as selected-member displays.

32N.1 File_21 state labels

32N.2 Machine Guards

Machine Guard [FILE_21 SKL UNIFIED PROTOCOL]: File_21 controls the SKL Unified Protocol as an application layer: 360:1 scalar, four-state algorithm, SKL Short / Long state handling, Projective Boundary outputs, Matryoshka scale-state, and related File_21-specific display states. It does not replace File_34 for full SKL / Berossus derivation or the File_50-series for ±720 / bipartite mechanics.

Machine Guard [FILE_21 SKL MIRROR DISPLAY]: The File_21 SKL rounded mod-10 Mirror display uses BC + AD − 2 only when SKL is explicitly viewed “in the Mirror.” Ordinary civil cross-axis arithmetic remains BC + AD − 1. Do not generalize this display into a new civil-span operator or into File_51 Protocol 1 / Protocol 2 unless the local file explicitly opens that protocol.

Machine Guard [FILE_21 PILLAR / TEMPLE-TIME]: Jachin AD 29515, Boaz AD 29465, and inside-skin coordinate AD 29395 are Projective Boundary / Temple-Time Pillar coordinate states. Do not treat them as ordinary historical anchors, do not derive them solely from SKL, and do not restore Jochin as live spelling except in source-history quotation.

Machine Guard [FILE_21 RESIDUE 6480.25]: Theorem 35.7's exact product is 11270 × 0.575 = 6480.25. The rounded 6480 is a Residue Protocol / textual-shift display only and must not be used as the exact product.

Machine Guard [FILE_21 MATRYOSHKA SCALE]: Matryoshka values require their active scale operator, such as ×360 or ×360². Do not process recursive SKL scale-state coordinates as ordinary chronology.

32N.3 Capsule absorption (June 10 2026)

Facet note: the 6480.25 Key-of-23 residue state (square-identity facet) and the §32N.1 File_21 Residue Protocol 6480.25 state (exact-product facet, 11270 × 0.575 = 6480.25 versus rounded 6480, with Machine Guard [FILE_21 RESIDUE 6480.25]) are two facets of one value. They do not conflict; cite the facet the local argument opens.

(Absorbed from Restart Capsule v11.3 Appendix AB.4; row wording carried verbatim.)

32O. File_22 Cumulative MT Harmonics / Rounded Scaffold Non-Retrojection Update

This bounded convention update incorporates the Final, post-final pressure-tested File_22 Cumulative MT Harmonics controls into repository-wide state vocabulary.

File_22 controls the Patriarchal Quartet scalar state, the 9890/989 actual Decimal Bridge, the cumulative Shem birth-week state, the Levitical Aaron/Moses phase display, the Jared / 2nd Cainan 460 ladder, the birth-transfer composite 6900, and the local Residue Protocol cluster. It also supplies the repository-wide Rounded Scaffold non-retrojection guard.

32O.1 File_22 state labels

32O.2 Machine Guards

Machine Guard [ROUNDED SCAFFOLD NON-RETROJECTION]: Do not identify clean, mod-10, harmonically regular, Mirror, SKL mod-10, 10x-scaled, or apparently rounded values with the File_51a Rounded Scaffold unless the local section explicitly opens that state. File_22's 9890 Cumulative-Regular Decimal Bridge is actual chronology. The 9900 rounded counterpart belongs to the later Rounded Scaffold state.

Machine Guard [FILE_22 DECIMAL BRIDGE]: Preserve 9890 and 989 as the actual File_22 Decimal Bridge unless the local file explicitly opens a rounded counterpart. Do not correct 9890 to 9900, and do not read File_51a rounded chronology backward into File_22.

Machine Guard [FILE_22 SHEM BIRTH-WEEK]: Treat 5436n BC and 5431n BC as distinct coordinates inside the cumulative Shem birth-week. Do not explain the distinction by Rounded Scaffold retrojection.

Machine Guard [FILE_22 RESIDUE PROTOCOL]: Do not feed File_22 residue constants such as 0.575, 1.75, 7.5, 35, or 42 back into ordinary date arithmetic unless the local Residue Protocol operator explicitly opens that use.

32O.1 Capsule absorption (June 10 2026)

(Absorbed from Restart Capsule v11.3 Appendix AB.5; wording carried verbatim. This is the File_22-scoped boundary; the parallel File_33 boundary is §32R.1 and the File_18 witness states are §31.85 / §32J.)

32P. File_25 Decimal Invariance Cross-File Convention Update

This bounded convention update incorporates the Final, post-final pressure-tested File_25 Decimal Invariance controls into repository-wide state vocabulary.

File_25 is an explanatory reference file. It defines the Decimal Invariance / 10x Mirror-scale phenomenon for later citation without attempting to prove the full holographic-like nature of the chronology. Its control function is vocabulary, state-safety, and operator firewalling.

32P.1 File_25 state labels

32P.2 Machine Guards

Machine Guard [FILE_25 DECIMAL-SHADOW DISPLAY]: Decimal-shadow values such as 2091.6 BC, 1446.6 BC, and 445.6 are display values. They do not replace historical anchors such as 2091 BC, 1446 BC, or 445 BC unless a local file explicitly opens a new exact date-state.

Machine Guard [FILE_25 BIBLICAL 10X MIRROR-SCALE DISPLAY]: In File_25, mod-10 names rounded 10x Mirror-scale display intent. Biblical examples such as 445 BC → AD 4456, 536 BC → AD 445, and 1446 BC → AD 2856 are not automatically processed by the SKL / Rounded BC + AD − 2 operator. Where exact civil cross-axis counting is opened, use the civil operator separately.

Machine Guard [FILE_25 SKL / ROUNDED DISPLAY RESERVATION]: The BC + AD − 2 simplification belongs only where the SKL / Rounded display state is explicitly active, such as the 6 BC → AD 6 = 10 type of example or SKL / Rounded rows inherited from File_21 / File_23. Do not impose it on File_25's Nehemiah / Daniel 9 biblical examples.

Machine Guard [FILE_25 BC/AD COUNTERPART LABELS]: BC-side and AD-side labels that share the same numeral are counterpart display labels, not identical nodes. Preserve the axis tags.

Machine Guard [FILE_25 LAW AS SOURCE-TITLE]: The word Law in File_25 is source-title / local axiom language. It does not convert audit-controlled rows, display-state rows, or dependency-controlled rows into settled proof, and it does not promote Decimal Invariance to repository-wide foundational axiom status without a later explicit control-file update.

32Q. File_32 Prime Harmonic / Prime–Civil Polarity Namespace Cross-File Convention Update

This bounded convention update incorporates the current File_32, File_33, and File_35 prime-polarity corrections into repository-wide state vocabulary.

File_32 is the foundation file for Prime Quadruple scaffold logic, Modulo 30 / Modulo 210 prime-lattice grammar, Formation Wobble statistics, P23 trunk language, the P1–P100 polarity-date table, and the corrected Prime–Civil / Polarity Namespace. Later prime files may extend File_32 through ordinal, File_36 Prime-Polarity / Target-Mirror lattice, Half-Step, tetrad, Naturalized Grid, or File_50-series machinery, but those later systems must not be retrojected into File_32's ordinary local operators.

Active hierarchy:

1. Positive-polarity date output is primary where opened.
2. Negative-polarity / signed A-space date output is primary where opened.
3. Coordinate Mirror / Protocol 1 is secondary agreement unless a local file explicitly gives Mirror proof burden.

This is the polarity-before-Mirror hierarchy.

32Q.1 File_32 / File_33 / File_35 state labels

32Q.2 Machine Guards

Machine Guard [FILE_32 POLARITY BEFORE MIRROR]: Positive-polarity and negative-polarity prime-date outputs are the primary Prime–Civil Interface states where opened. Coordinate Mirror / Protocol 1 is a secondary counterpart display applied after a civil coordinate already exists unless the local file explicitly gives Mirror proof burden.

Machine Guard [FILE_32 POSITIVE / NEGATIVE NON-COLLAPSE]: Do not collapse positive-polarity B⁺/M⁺ with negative-polarity / signed A-space output. For P2, positive output is 6 BC / 36 BC; negative output is 6 BC / AD 25. For P23, positive output is 31716 BC / 31746 BC; negative output is AD 31705 / 31735.

Machine Guard [FILE_32 RAW CROSS-POLARITY]: Raw prime-space cross-polarity is a signed lattice operation. It is not Coordinate Mirror and not a civil date by itself. When signed A-space rendering is explicitly opened, negative polarity may generate civil date outputs through Q − 16 and Q + 14.

Machine Guard [FILE_32 RAILS / NO +60]: The ordinary positive File_32 prime rail is B⁺ = Q − 5, M⁺ = Q + 25, with M⁺ − B⁺ = 30. Do not introduce a +60 ordinary prime rail to repair P31 or other bisection language.

Machine Guard [FILE_32 COORDINATE MIRROR SECONDARY AGREEMENT]: Coordinate Mirror may corroborate both positive and negative polarity coordinates. It must not replace polarity generation, and it must not deny counterpart status to a negative-polarity date once that date has been validly opened.

Machine Guard [FILE_32 / FILE_33 KEY OF 23 PILLARS]: P23 and P46 may be named Key of 23 Pillars. Keep 25/23, 70/69, and 300/299 branches state-labeled. Do not collapse same-polarity point-to-point gaps, widened cross-rail spans, opposite-polarity bridges, or secondary Mirror displays.

Machine Guard [FILE_32 LATER-SYSTEM NON-RETROJECTION]: File_33 Ordinal Authentication, File_35 Half-Step, File_36 Prime-Polarity / Target-Mirror lattice, File_37 tetrad mechanics, and File_50-series Naturalized Grid / Bipartite Grid Landing may clarify or extend File_32, but they are not File_32's default local operators unless the section explicitly opens that dependency state. File_36's inherited Double Lock is source-history only and must not be executed as a default prime operator.

32S. File_31 Rod of Enoch Cross-File Convention Update

The following conventions are adopted after the Final and post-final pressure-tested File_31 Rod of Enoch source.

1. Rod of Enoch state names File_31's bounded geometric-theology file function, joining Enoch's 365, the Enochian 364, Methuselah 299 → 300, Lamech 182, Pi approximations, SKL Enoch anchors, and AD 33 solar synchronization as a local file thesis.
2. Pi master-formula state names the File_31 formulas that approximate Pi using state-controlled variables such as w = 7, y = 365, g = 70, s = 1/86400, P = 1/25920, and p = 1/25800. Precision should be stated by absolute error and decimal digits of absolute accuracy rather than by unsupported fixed-decimal-place language.
3. Pi convergent generator state names the File_31 generator using the Milü ratio, the Enochian 294, and the Archimedean 22/7 correction. Standard continued-fraction convergent rank should be counted 1-based from 3/1 when that rank language is used.
4. SKL Enoch anchor slash-pair state preserves 66968/66966 BC and 45968/45966 BC as slash-pair display states whose provenance remains dependency-controlled unless File_21, File_34, or another active source-control file supplies the derivation.
5. Selected-rail display state names File_31 rows where one member of a slash-pair is used for a checked span while the full slash-pair remains preserved.
6. AD 33 solar synchronization state names the local File_31 display in which 294 × 364 = 107016 and 107016 ÷ 293 = 365.2423208. The exact AD 33 tropical-year target and related time-scale / ΔT claims remain audit-controlled and non-load-bearing unless a fuller astronomical model is supplied.
7. File_31 must not override File_13 for Passion-date control. AD 33n remains the preferred Friday Nisan 14/15 Passion state. AD 30n remains a possible Friday Nisan 14/15 Passion state. AD 33t is a Tishri-side completion member only. AD 34 is a completed-period purification display only.
8. Exploratory scientific analogy / providential synchronization state may be used for File_31's Pi / solar-year / AD 33 material when the arithmetic checks but the external scientific model remains unproven.
9. Claim-weight restraint state names the File_31 rule that teleological or proof-inflated language should be removed or bounded; the file should state mathematical alignments directly and let readers evaluate implications.

Machine Guard [FILE_31 ROD OF ENOCH STATE SAFETY]: File_31 is Final and post-final pressure tested, but it is not a control file for all Pi, SKL, or Passion-date claims. Later files may cite File_31 for Rod of Enoch / Pi-geometric material only with active state, operator, claim-status, and dependency boundaries stated.

Machine Guard [FILE_31 / FILE_13 PASSION BOUNDARY]: File_31 may use AD 33 as a local solar-synchronization display. It must not be used to reassign Passion-date states. Passion-date candidates are controlled by File_13: AD 33n preferred Friday Nisan 14/15; AD 30n possible Friday Nisan 14/15; AD 33t and AD 34 are non-Passion display states.

Machine Guard [FILE_31 SCIENTIFIC-ANALOGY RESTRAINT]: Do not convert File_31's Pi / tropical-year / AD 33 alignment into physics proof unless a local file supplies a full source-controlled astronomical model. Preserve the alignment as arithmetic fact plus exploratory scientific analogy / providential synchronization where appropriate.

32T. Samaria Node Cross-File Convention Update

This bounded convention update incorporates the File_00 Samaria Node cross-file control into repository-wide state vocabulary.

1. Samaria Node schematic envelope state names the 726–721 BC conceptual envelope for the collapse of the Northern Kingdom of Israel.

2. Actual Fall of Samaria state preserves late 722 BC ±1, after a siege beginning about 725 BC, as the actual historical state.

3. 726 BC is the onset / start-of-fall label. It may represent the idealized start of the three-year siege, the idealized fall of Samaria, or the conceptual collapse-point of the Northern Kingdom.

4. 721 BC is the terminal / latest-fall label of the same Samaria Node. It should not be treated as a replacement for the actual late-722 BC fall date unless a local historical-source state explicitly opens that discussion.

5. Israel literal-reign schematic ledger names the year-level ledger that back-projects the stated reigns of Israel's kings onto the 967/966 BC Temple node and lands in the 726/725 BC Samaria onset field.

6. Samaria / Jerusalem twin-city judgment vector state names the File_16-dependent relation 1876 BC → 726 BC = 1150, 1876 BC → 586 BC = 1290, and 726 BC → 586 BC = 140 = 2 × 70.

7. Samaria Node / Immanuel 720 overlay state names the File_19 / File_13-dependent relation 1446 BC → 726 BC = 720, 726 BC → 6 BC = 720, and 721 BC → 1 BC = 720.

8. Samaria Node three-tradition Creation overlay state names the LXX / SP / MT overlay where LXX 5556 BC → 726 BC = 4830, SP 4416 BC → 966 BC = 3450, and MT 4176 BC → 726 BC = 3450.

9. Abrahamic 240-cycle overlay state names 2166 BC → 966 BC → 726 BC = 1200 + 240 = 1440.

10. Samaria Node material is structural inference / probable scribal design / providential synchronization depending local wording. It is not a reconstruction of actual Northern Kingdom regnal chronology.

11. Divided Kingdom actual / schematic route triad names actual 930 BC, Southern schematic 980 BC, and Northern schematic 966 BC, with 980 − 930 = 50 and 966 − 930 = 36.

12. United / Divided Kingdom 360/365 overlay state names 1086 → 966 = 120, 1446 → 1086 → 726 = 360 + 360, 1086 → 721 = 365, and 1086 → 586 = 500.

13. Samaria / Jerusalem Pillar metric names 726 BC → AD 29515 = 30240 = 420 × 72 and 586 BC → AD 29515 = 30100 = 420 × 71⅔.

14. Abrahamic-to-exile trunk pattern names trunk nodes 2166 / 1446 / 726 / 586 / 446 BC and branch nodes 1086 / 1016 / 966 BC.

15. Samaria Node 276 → 280 flattening state names 722/721 → 446/445 = 276, 276 × 70/69 = 280, and 726/725 → 446/445 = 280.

16. Exile-return Mirror disclosure state names 606/605 → 536 = 70/69 → 70, 536 BC → AD 725 = 1260, 539 BC → AD 722 = 1260, and 536 BC → AD 445 = 980.

17. Elijah Northern Kingdom ministry overlay state names source-control 875–848 BC, actual-history mod-5 876–846 BC, stylized Northern route 906–876 BC, and optional Ahab field 905/904 BC.

18. Elijah Northern-route rationale state binds the Elijah overlay to the Northern 966 BC route rather than the Southern 980 BC +50 route.

19. Samaria temporal-conversion convergence state names 1086 → 446 = 640, 1086 → 722 = 364, 722 → 446 = 276, 1086 → 726 = 360, 726 → 446 = 280, and 364 + 276 = 360 + 280 = 640. The Israel literal-reign schematic ledger's year-level display total is 241.5 before sub-year residue (967/966 BC → 726/725 BC).

(Items 11–19 absorbed June 10 2026 from Restart Capsule v11.3 Appendix T; the capsule appendix is the prior carrier and the named File_00 updates remain the controlling precedent.)

Machine Guard [SAMARIA NODE ELIJAH / TEMPORAL-CONVERSION CONTROL]: The Samaria Node is a File_00 schematic envelope and dependency-control state. Do not use it to correct actual Northern Kingdom chronology, Jeroboam's actual accession, Ahab's actual accession, Elijah's actual historical ministry, or the actual late-722 BC fall of Samaria. Do not treat it as a File_51a Rounded Scaffold state. When the Elijah overlay is active, use the Northern Kingdom / Kings of Israel 966 BC route rather than the Southern Kingdom / Kings of Judah 980 BC +50 route because Elijah belongs to the Northern Kingdom field of Ahab and Jezebel.

Machine Guard [SAMARIA NODE ACTUAL / SCHEMATIC FIREWALL]: The actual Fall of Samaria remains late 722 BC ±1, after a siege beginning about 725 BC. The schematic Samaria Node is 726–721 BC. Do not force the actual fall date to equal either schematic endpoint. 726 BC is the onset / start-of-fall label; 721 BC is the terminal / latest-fall label. Do not use the Samaria Node to correct Jeroboam's actual accession, the actual beginning of the Northern Kingdom, or the actual fall date of Samaria.

Machine Guard [SAMARIA NODE LEDGER SCOPE]: The Israel literal-reign schematic ledger is conceptual / scribal. It may use the 967/966 BC Temple node as a schematic head and the 726/725 BC field as a schematic landing field. It must not be treated as harmonized regnal chronology.

Machine Guard [SAMARIA NODE SUB-YEAR MARKERS]: The Zimri / Omri 916 BC and Zechariah / Shallum / Menahem 766 BC sub-year marker observations are exploratory and non-load-bearing. They may be retained as schematic short-reign diagnostics, but they must not correct actual Northern Kingdom regnal chronology, the Israel year-level ledger, the Samaria Node endpoints, or the actual late-722 BC Fall of Samaria.

Machine Guard [SAMARIA NODE ROUNDED-SCAFFOLD FIREWALL]: The term Samaria Node is generic node-language, not a File_51a Rounded Scaffold state. Do not infer Rounded Scaffold logic merely because the node uses schematic or idealized dates.

32R. File_33 Ordinal Lock / Ordinal Authentication Cross-File Convention Update

This bounded convention update incorporates the Final, pressure-tested File_33 Ordinal Lock controls into repository-wide state vocabulary.

File_33 is the repository control for Ordinal Authentication in the Prime Grid. It tests whether a proposed prime-grid target is authenticated not only by the value of a Prime Quadruple but also by the ordinal position n of that quadruple. Its local operators are Value Lock, Ordinal Lock, n² × Unit, and n × Constant. These later operators may clarify File_32 extensions, but they are not retrojected into File_32 as File_32's ordinary local operators.

32R.1 File_33 state labels

32R.2 File_33 Machine Guards

Machine Guard [FILE_33 ORDINAL NON-RETROJECTION]: File_33 Ordinal Authentication is a later prime-grid control. Do not use n² × Unit, n × Constant, Value Lock, or Ordinal Lock as ordinary File_32 operators unless the local file explicitly opens File_33 dependency.

Machine Guard [FILE_33 MIRROR-DATE ALIAS]: When inherited File_33 tables say Mirror Date and the operation is ordinary B/M, read the term as File_32 M rail / apparent rail. Do not convert it into Coordinate Mirror / Protocol 1, rounded / mod-10 display, or prime-space cross-polarity without an explicit local state.

Machine Guard [FILE_33 NO +10 MIRROR JUMP]: Unsupported local +10 mirror-display examples were removed from active File_33 proof. Do not introduce a generic +10 Year Mirror Jump in future prime-grid files unless a later final file defines a named operator.

Machine Guard [FILE_33 AD 1406 DISPLAY]: For 1406 BC, strict Coordinate Mirror / Protocol 1 is AD 1405. AD 1406 is only a visible Conquest-week / numeric-year display state where File_51a / File_09 precedent is explicitly opened.

Machine Guard [FILE_33 SYMBOLIC / PRECISE AD TARGET]: Preserve symbolic AD targets and precise civil AD targets as distinct states. P26 is the precedent: symbolic AD 666; precise civil AD 665; 51336 + 665 − 1 = 52000.

Machine Guard [FILE_33 DEPENDENCY BOUNDARY]: File_35 Half-Step, File_37 tetrad mechanics, File_50a Naturalized Master Table output, and any unavailable FILE_33_PRESSURE_TEST.md methodology remain dependency-controlled. Do not use missing dependencies to carry proof burden.

32U. File_34 SKL / Berossus Post-Final Vocabulary Update

This bounded convention update incorporates the Final, post-final pressure-tested File_34 SKL / Berossus controls into repository-wide state vocabulary.

File_34 is the controlling file for the full SKL / Berossus derivation, the Berossus computational anchor, the Precessional Envelope, the Sanctuary Fractal, the Appendix B Pillar / phase-chain machinery, the SKL-to-Berossus 2370 corridor, the 30 + 20 + 30 restoration corridor, and the hybrid Alulim / Berossus-aligned origin 34566 + 241200 = 275766. Dependent files may cite or index those states, but they should not re-prove the full File_34 system unless the local file explicitly opens that derivation.

Active supersession (v1.47): §D.38 controls the full local −2/0/+2 and SKL −720/0/+720 wheel; the inherited +2 / +720 labels below remain selected-member shorthand.

32U.1 File_34 state labels

32U.2 File_34 Machine Guards

Machine Guard [FILE_34 SKL / BEROSSUS DEPENDENCY]: Use File_34 as the controlling file for full SKL / Berossus derivation, Precessional Envelope, Sanctuary Fractal, Pillar / AD target state, Appendix B phase-chain machinery, and the 2370 / 30 + 20 + 30 corridor. Index files may cite File_34 but should not locally re-prove the full system unless the section explicitly opens that derivation.

Machine Guard [FILE_34 486 / 536 / 539 FIREWALL]: Do not collapse 486 BC, 536 BC, and 539t/538n BC. 486 BC is Berossus computational-anchor state; 536 BC is biblical restoration-anchor state; 539t/538n BC is fall-of-Babylon / Persian-transition phase field.

Machine Guard [FILE_34 +2 / +720 FIREWALL]: Do not treat the local SKL +2 rail as the same operator as the +720 Cosmic Pixel. The +720 value is the scaled Shem state 2 × 360; the +2 value is a local rail.

Machine Guard [FILE_34 2370 CORRIDOR]: When projecting the SKL rail quartet into the Berossus / restoration field, use forward-time same-side BC subtraction. Preserve paired slash-displays: 2938/2936 − 2370 = 568/566 BC, 2908/2906 − 2370 = 538/536 BC, 2888/2886 − 2370 = 518/516 BC, and 2858/2856 − 2370 = 488/486 BC.

Machine Guard [FILE_34 30 + 20 + 30 HUB]: Do not correct 536/516 BC to a 30-year span. It is the central 20-year hub of the corridor 566 → 536 → 516 → 486 BC = 30 + 20 + 30.

Machine Guard [FILE_34 PHASE-CHAIN / SLASH-PAIR]: Check Nisan / Tishri chains and slash-pairs under their active state. A slash-pair is not a range, average, or free endpoint pool unless a local file explicitly opens that operator.

Machine Guard [FILE_34 PILLAR CIVIL SPAN]: For BC-to-AD Pillar spans, use civil cross-axis arithmetic BC + AD − 1. Do not convert Pillar spans into formal Prime Mirror, Coordinate Mirror, inverse-number, or rounded / mod-10 displays without an explicit local state.

Machine Guard [FILE_34 NON-RESIDUE]: Do not treat File_34 2400 expansion difference or other clean deltas as formal Residue Protocol unless the local section explicitly opens Residue Protocol state.

Machine Guard [FILE_34 HYBRID ALULIM ORIGIN]: 275766 BC equals the Berossus Flood anchor 34566 BC plus the listed SKL eight-kings total 241200. This origin is distinct from the source-retained +720 Alulim pixel check and does not replace either parent chronology.

Machine Guard [FILE_34 / FILE_55 THIRDING BOUNDARY]: File_34 controls the hybrid origin 34566 + 241200 = 275766. File_55 controls 275766 → 184326 → 1446 BC and 184326 − 2886 = 181440 = 7 × 25920. Do not promote 184326 BC to a File_34 primary anchor or use the File_55 primer as a general File_34 operator.

Part C. File_36 / File_41 / File_45 Glossary Additions and Machine Guards (migrated from Style Guide v2.4 update-record subsections)

File_36 glossary additions

Machine Guard [FILE_36 PRIME-POLARITY / TARGET-MIRROR RESTRAINT]: Do not use Coordinate Mirror as a default prime-output operator in File_36-dependent material. Positive-polarity and negative-polarity / signed A-space outputs are the active Prime–Civil scaffold. When Mirror appears, assign it to the actual chronological target-state unless a local section explicitly opens a bounded explanatory display.

Machine Guard [FILE_36 RETIRED DOUBLE LOCK]: Do not execute Q − 25 / Q + 5 as a prime-generation operator. Retain the inherited Double Lock language only as source-history / audit-controlled explanation unless a later file explicitly reopens a distinct dependency-controlled state.

Machine Guard [FILE_36 NODE-CLASS SEPARATION]: Do not collapse sextuplet start values, active Q values, positive B⁺, positive M⁺, negative-polarity AD outputs, target-Mirror counterparts, midpoint diagnostics, and audit-only inherited outputs.

File_41 glossary additions

Machine Guard [FILE_41 JACHIN INSIDE-SKIN NON-EXPORT]: Do not generalize the File_41 inside-skin subtraction. AD 29515 − 120 = AD 29395 is a localized Jachin boundary operation, not a dynamic rule for other Pillar, anchor, or node systems.

Machine Guard [FILE_41 RESTORATION MIRROR ANCHOR]: AD 535 is the Restoration Mirror Anchor by dependency on the 536 BC restoration anchor and Protocol 1-style counterpart logic. It does not erase or replace the historical 536 BC restoration anchor.

Machine Guard [FILE_41 AD 115 TARGET RESTRAINT]: AD 115 is only the local Prophetic Expansion target generated by AD 535 − 420. It is not a separate source-label state and should not be exported as independent terminology.

Machine Guard [FILE_41 TEMPLE / FLOOD ENDPOINT DEPENDENCY]: 946 BC and 2456 BC function in File_41 as dependency-controlled arithmetic inputs. 946 BC belongs to the Conquest-to-Palace / Temple-completion row, and 2456 BC belongs to the Flood-side cross-axis check. Neither redefines the controlling Kings, Temple, or Flood chronology.

File_45 glossary additions

Machine Guard [FILE_45 NODE / TARGET NON-COLLAPSE]: Targets may coincide with node-generated points, including distance 0 hits, but targets must not be added to the fixed node manifest. Preserve node row, generated point, target frame, cycle family, score, and rarity as distinct states.

Machine Guard [FILE_45 A-SPACE PHASE SWEEP]: All +k phase shifts in File_45 occur in A-space after civil-date conversion. Do not shift BC / AD labels directly.

Machine Guard [FILE_45 INCLUSIVE PHASE DOMAIN]: When citing File_45 rarity values, use the inclusive domain k ∈ {0, …, 48999}. The corrected values are N≥ = 28, N≥ = 9, and N≥ = 3 for the three published rows.

Machine Guard [FILE_45 DANIEL 9 RESTRAINT]: Daniel 9 language in File_45 is a pattern-template state, not a new calendar lock, not a 434-year lock, and not a literal referent claim about Jared or 2nd Cainan.

Machine Guard [FILE_45 FILE_43 / FILE_44 PROOF-BURDEN]: Use File_43 for the genealogy-node lattice and File_44 for scaling-law controls. Do not use File_44 to supply File_45 nodes or targets, and do not use File_45's statistical results as proof-bearing material inside File_43 or File_44 unless a later file explicitly opens that dependency.

Part D. Post-migration registrations

D.1 File_46 Convention Entry (registered at Finalization, June 10 2026)

Source file: File_46 Final — Harmonic Expansion Protocols. Controlling precedents: File_43 (lattice locks, display ledger, figurative God bookend), File_44 / File_45 (wave-set, Daniel-9 template), File_22 (14006 BC).

Machine Guards registered: [CIVIL SPAN EXECUTION] (enforce BC + AD − 1 across the epoch boundary; no algebraic subtraction); [DISPLAY-LEDGER SPAN USE] (ledger boundaries used as endpoints restate node-class; MattSpan / LukeSpan / LukeIntervals locks not overwritten); [STATIC +460/+30 MOTIF] (460 + 30 = 490 is a static motif, never a generator).

Removal note: the source draft's prime-lattice section (P8–P12, including the "Enochian Unit" label) was removed by author direction June 10 2026; the prime-quadruple grid remains controlled by File_32 / File_33 / File_35.

D.2 File_47 Convention Entry (registered at Finalization, June 10 2026)

Source file: File_47 Final — Patriarchal Pairing System: Six Birth-Pairs from Noah to Jacob. Controlling precedents: File_00 (Key of 23; structural variators), File_02 (Shem ±2 regular-localized state), File_16 (1876 BC convergence; +215 position slash-pairs), File_18 (chronological data tables; cumulative architecture), File_51a (cumulative controls), File_07 (restored 2nd Cainan +130 / 460).

Machine Guards registered: [FILE_47 MODE-FLAG MAPPING] (flags are bound local shorthand; tradition scope mandatory); [FILE_47 POSITION STATE] (+215 position; no conflict with File_02); [FILE_47 PAIRING INVARIANTS] (decadal clustering; Column A symmetry 160/160; statistical closure property as restated June 10 2026 — B-walk 3/6 landings, baseline ≈ 0.115, binomial P ≈ 0.023, 4/6 with the LXX landing at P ≈ 0.0025; central crossroads 2166/2167 BC; calendar and Key-23 column locks; Cainan 460-chain 2366 − 1446 = 920).

Anchor-carrier note: File_47's Joseph and Levi material adds derivation routes, not new anchors. Joseph 1915 BC / 1805 BC (dual-route via 1876 BC) is controlled by File_03 ENTITY_JOSEPH; Levi death 1782 BC and the 77 + 70 + 77 = 224 arc by File_04; Levi birth 1919 BC is carried by File_51a and File_20.

Removal note: by author direction June 10 2026, the source's §4.7 (Jared 460-signature line) and the former §10.2 / §10.5 / §10.6 / §10.7 walk tables were removed at Finalization; their ENC terminal coordinates (2326; 2826; 2526; 2626; 3126; 3086) match no Gear 1 Noah/Shem date in MT, SP, or LXX, and the former 2526 BC value is identified by the author as the SP −215 2nd Cainan birth, not a Flood coordinate.

Candidate convention note (non-controlling until adopted): the author intends possible repository-wide adoption of the File_47 compact mode-flag notation; the File_47 §0.3 mapping table is its definition. Until a dedicated control-file action adopts it, the flags remain File_47-local.

D.3 Anchor-Tier Convention Note (registered June 10 2026)

Style Guide v2.5 applies the date label anchor functionally — "only when the date functions as an anchoring node" — and distinguishes anchor, endpoint, boundary, block-member, and mirror target as separate roles. Two tiers follow:

1. Repository endpoint anchors: terminal nodes from which chronological chains hang (for example Creation, Flood, Exodus, birth of Christ). These populate the Restart Capsule's Primary anchors inventory where capsule-governed.
2. Derived pegged dates / local anchoring nodes: dates fixed by deduction from a higher node, which then anchor further dates within their carrier files but are not repository endpoint anchors.

Registered instance (File_47 context): 1919 BC (Levi birth, deduced as three years after Jacob's marriage in 1922 BC) anchors 1782 BC (Levi death at 137) and the 1922–1915 BC pregnancy / purification window; 1915 BC (Joseph birth, after 1929 BC + 7 + 7) anchors 1805 BC (Joseph death at 110) and the Serug diagonal lock 2065 − 1805 = 260; cumulative-route Levi is 1936 BC (band 1936/1933 BC). These five are derived pegged dates carried by File_03 (Joseph), File_04 (Levi death), File_51a / File_20 (Levi birth), and File_18 / File_51a (cumulative 1936 BC). They are correctly absent from the Restart Capsule Primary anchors inventory; File_47 declares no new anchors.

Machine Guard [ANCHOR TIER]: Do not promote a derived pegged date to the Restart Capsule Primary anchors inventory merely because it functions as a local anchoring node, and do not strip the anchor label from a derived pegged date merely because it is not an endpoint. Name the tier when ambiguity matters.

D.4 File_38 Convention Entry (registered at Finalization, June 11 2026)

Source file: File_38 Final — The Sextuplet Engine. Controlling precedents: File_36 (prime namespace: sextuplet start / active Q / polarity outputs / target-Mirror restraint), File_37 (retired prime-gap boundary, §31.140–§31.140D), File_34 (SKL / Berossus derivation), File_16 / File_18 (+50 Jubilee Offset / Kings data), File_08 (Kings dual ledger), File_00 (+60 Terah, §3.4.1), File_51a (SOR / −215 variant field).

Machine Guards registered:

Machine Guard [SEXTUPLET TRUE CENTER / ACTIVE Q SEPARATION]: Do not conflate sextuplet true centers (start + 8) with active Q values (start + 4). The File_38 90 + 30 + 90 lattice runs on true centers; the File_38 projections run on active Q and its offsets. Collapsing them corrupts the arithmetic of one or the other.

Machine Guard [ASYMMETRIC POLARITY-CROSSOVER NOTE]: Do not treat the asymmetric polarity-crossover construction as an active operator, derivation, dependency, or proof for the +50 variance or for any other value in any file. It is unopened research-note material only (File_38 §5.1). No calculation may cite it, and it must not be expanded, rederived, or made load-bearing without explicit author direction.

Pointer note: File_38 Final §0.3 remains the controlling precedent and carries the full guard set, including [ZERO POINT], [+50 KINGDOM TERMINATION], [RETIRED WIDTH-50 FOUNDATION] (whose repository-wide boundary is already §31.140B), and [SKL / BEROSSUS DEPENDENCY].

Correction note (registered): the File_38 Final §2.3 dependency note describes 1661 BC as "a new anchor introduced by File_38." Registration audit found 1661 BC already capsule-governed as the Baseline Entry / minimum state (215-year Egypt span); File_38 independently rederives that established state. The §2.3 wording is superseded by this entry; a one-line post-final citation-control touch to File_38 is recommended, subject to author approval.

D.5 File_39 Convention Entry (registered at Finalization, June 11 2026)

Source file: File_39 Final — The Resonant Lattice and the Creation Core. Controlling precedents: File_38 (sextuplet lattice; true-center / active-Q separation; ±215 Sojourn vector boundary), File_36 (active-Q namespace; OEIS A200504 citation control; P19 / P25 pillar indices), File_32 (210-grid grammar; Key of 23; Modulo 210 corridor boundary discipline), File_00 (Zipper namespace separation, §3.23), File_51a (−215 variant field boundary), File_34 (Precessional Envelope: 25920, 6480, 720), File_05 (primary 1446 BC Exodus anchor).

Machine Guards registered:

Machine Guard [SEXTUPLET ZIPPER DEFINITION]: Z = (S_a + S_b + 16)/210 is the authoritative definition. Z is a function of the endpoint sum, not of the interval gap ΔS alone; do not model, fit, or regress Z from ΔS. Every Z value in File_39 regenerates from this definition plus the OEIS A200504 terms in File_39 §2.1.

Machine Guard [FILE_00 ZIPPER NAMESPACE]: The File_00 §3.23 Zipper is the Forward Tishri Shift calendar-state locking operator. It is unrelated to the File_39 operator. Within File_39 the qualified label Sextuplet Zipper is always used; do not route File_00 Zipper queries to File_39 or File_39 queries to File_00 §3.23.

Machine Guard [WING OFFSET 215]: The File_39 +215 outer wing is 210 + 5 (grid plus inner core), local to File_39's wing geometry. Do not conflate it with the ±215 Sojourn vector of File_38 or the −215 variant field of File_51a, which are chronological-variant operators on the civil axis.

Machine Guard [SABBATH ANCHOR +1]: The (210 + 1) subtraction is the Sextuplet Modulus (210) plus the Boundary Inclusivity Toggle (+1). The +1 is an authorized structural offset representing the inclusive / exclusive node boundary. Do not flag the +1 as an arithmetic error; it is a locked state condition for the Sabbath anchor.

Decision record (registered): the v13.5 Day 5 theme label palindrome lock was removed by author direction June 11 2026 as a likely AI-generation artifact; the v13.5 §7.2 title qualifier 3 + 7 and block label cosmic were removed as non-derivable; §§7.2–7.3 were provisionally removed during finalization and retained with authorial clarifiers upon author review; the FILE_40 and File_18 dependencies of the v13.5 header were removed (FILE_40 is absent from the repository and is superseded by the explicit operator plus the OEIS source; no File_18 rows are opened).

Correction record (registered): six cells of the v13.5 §4 distance table and the v13.5 factorization 232001 = 23 × 10087 (incomplete; 10087 = 7 × 11 × 131) were corrected with Audit notes; the v13.5 §5 statistics reproduce exactly as a two-channel computation whose design was unstated.

Pointer note: File_39 Final §0 (D0–D5 definitions and the Terminology record) remains the controlling precedent and carries the full guard set and audit notes.

D.6 File_40 Convention Entry (registered at Finalization, June 11 2026)

Source file: File_40 Final — The Dimensional Creation (Days 1–3) and the Sextuplet Zipper Mirror Rendering. Controlling precedents: File_38 (Sojourn vector Q ± 215; P25 sojourn-vector lower output 43566 BC), File_36 (active-Q namespace; printed P3 / P19 / P25 civil rows; 63210 = 1290 × 49 bridge), File_39 (Sextuplet Zipper Z = (S_a + S_b + 16)/210; Day-stitch grammar; 1470 = 7 × 210 = 3 × 490), File_41 (AD 535 Restoration Mirror Anchor; Machine Guard [FILE_41 AD 115 TARGET]), File_34 (Berossus 34566 BC; 3606 BC field control), File_21 (Alulim / Adam rail 268566 BC; SKL Flood 20886 BC), File_32 (P3 Base Date 96 BC; P28 63000 state; P26 symbolic-666 precedent).

Machine Guards registered:

Machine Guard [FILE_40 S-DATE SCOPE]: The −215 rendering that generates the Day 3 S-Date is the File_38 Sojourn-vector operator (Q − 215) applied to the P25 active Q; within File_40 it is opened only for the Dimensional Creation constellations. Do not apply the −215 rendering dynamically to other prime constellations. Standard prime-to-civil routing uses the Q − 5 base rail (File_36; File_32). Do not conflate this Sojourn rendering with the File_39 wing-mode +215 or the File_51a −215 variant field.

Machine Guard [FILE_40 +10 ARTIFACT VALUES]: 43565 and AD 19445 are localized boundary artifacts (each the canonical coordinate less one) used only to demonstrate the +10 mirror zippering. Do not overwrite the canonical 43566 BC Day 3 S-Date or the File_36 P19 civil rails (19416 BC / 19446 BC) with these artifact values in global routing tables. The File_36 printed AD rails (AD 19435; AD 43795) are distinct values; no collision exists.

Arrival record (registered): the §D.5 decision record "FILE_40 is absent from the repository" was true when registered; File_40 entered the repository as File_40 Final on June 11 2026. The removed FILE_40 dependency of the File_39 header remains removed; File_39's Wild Phase rows regenerate from its own operator definition and OEIS source.

Decision record (registered): the v3.8 label "sextuplet start" for 43781 corrected to active Q (start 43777); the v3.8 "(S-Date Scope)" guard superseded by [FILE_40 S-DATE SCOPE] (the v3.8 attribution of the Q − 5 base rail to FILE_42 is held for reconciliation when File_42 is mounted); the display label "Mirror Zipper" retired; the v3.8 "decimal resonance" note (4419.6 BC) deleted as non-supporting — all by author direction June 11 2026. Four §5.1 resolutions author-confirmed at Finalization: Day 1 rails-separation derivation; Day 2 1470 jubilee span; AD 115 routing through the printed File_36 P3 row; 62790 = 299 × 210.

Pointer note: File_40 Final §0 (working state register) and §§2–5 remain the controlling precedent and carry the full guard set, resolution records, and the open Day 2 mechanism audit note.

D.7 File_42 Convention Entry (registered at Finalization, June 12 2026)

Source file: File_42 Final — Prime Lattice Foundations (Geometry-First Derivation of the Early Prime-Quad Anchors); marked Final June 12 2026; post-final Pressure Test passed June 12 2026 (batteries A–H; findings F1 / F2 applied). Repository role: geometry-first source-history support — the active Prime–Civil / Polarity Namespace routes through File_32 / File_33 / File_35 / File_36 (Machine Guard [FILE_42 SOURCE-HISTORY NON-REACTIVATION], File_43; File_44 dependency table); nothing in File_42 replaces those active controls. Controlling precedents: File_32 / File_33 / File_35 / File_36 / File_37 (active prime namespace; printed polarity rows; Key-of-23 Foundational Prime Set), File_43 / File_44 (source-history and label guards), File_13 (Johannine Temple 46/50; ministry / Passion display-state controls, §31.55), File_05 (1446 BC → AD 27 = 1472), File_00 (Covenant Crossover Zero Point T₀; 8-day Birth → Naming gap), File_09 (Julian Jan-1 Mirror-axis phase model; suffix-inversion rule; quarter-day law), File_51a (§16.10 1650 / 1656 Dual Backbone), File_03 (Joshua / Conquest state), File_38 (90 + 30 + 90 true-center lattice — boundary only), File_20 (Cross-Mirror AD 1446 state — boundary only), Restart Capsule §1.18 (Prime Lattice Interface).

States opened by dependency only (controlling registrations unchanged): Key-of-23 Foundational Prime Set (§31.140A; File_37); Key-of-23 completion (File_36 §2.2; File_33; File_37); P1 Exceptional Origin (File_32; File_36); Herodian Temple field (File_33 P47); Johannine Temple 46/50 (File_13); Exodus 1472 → 1600 (File_05); Genealogical MirrorVolume and Seal700 (File_43; §§31.57b–31.57e — guarded locally by Machine Guard [FILE_42 MATTSPAN PROVENANCE], the same boundary as [FILE_43 SPAN SPLIT] / §31.57d).

Machine Guards registered:

Machine Guard [FILE_42 EARLY-CLUSTER BASE ENGINE]: For programmatic generation of A-space coordinates for early-cluster bases, always use the definitive formula A := 1 − B. The recursive differencing demonstration (A(P2) − 90) is an illustrative proof of geometric continuity, but the absolute formula A = 1 − (Q − 5) is the required computational engine to prevent propagation drift in loops.

Machine Guard [AD 31 GEOMETRY OUTPUT]: AD 31 in this file is a prime-geometry outcome converted to a civil date: the restored Mod-30 spacing at the P1 singularity rendered from the AD member of the 1 BC / AD 1 covenant hinge (A = +1; +1 + 30 = +31), met again by the Johannine +50 display from the 20 BC field center (§4.2). It is not a new consequential node for the ministry or the death of Christ. The Christological ministry / Passion field remains AD 26t, AD 27n, AD 29t, AD 30n, AD 33n (and AD 35n to complete a generation), depending on an AD 30 or especially an AD 33 Friday crucifixion, under File_13 / File_31 display-state controls (Register 31.55). The phase-resolved members pair as ministry-start fields: AD 26t / AD 27n stand 3.5 / 3 years before an AD 30n crucifixion (26t → 30n = 3.5; 27n → 30n = 3), in parallel to AD 29t / AD 30n standing 3.5 / 3 years before the optionally preferred AD 33n crucifixion (29t → 33n = 3.5; 30n → 33n = 3). Do not export AD 31 into that field. (Author direction June 11 2026; phase-resolved members confirmed by author June 11 2026.)

Machine Guard [POSITIVE-BASE BRIDGE SCOPE]: The +30 positive-base bridge (A(base) + 30 = 36 − Q) exists only where a prime-space 30-closure exists: natively at P2 (2Q + 8 = 30 only at Q = 11; output AD 25, coinciding with N⁻₂ = Q + 14) and by Key-of-23 restoration at P1 (5 − (−25) = 30; output AD 31). The polarity closure for Q > 11 is 2Q + 8 (210; 390; 1650; …), never 30. Do not apply the positive-base bridge to P3 onward; values such as 66 BC, 156 BC, 786 BC are unlicensed and must not be generated.

Machine Guard [6 BC READING DUALITY]: The registered and controlling label for 6 BC is the P2 birth anchor (Capsule §1.18; File_36; §2.2 above). A conception-reading exists as a File_42 typological layer and does not replace the registered label. Under it: 6n BC + 270 days (9 × 30) lands at the close of 6 BC, exactly 5 years (6n → 1n same-side: 6 − 1 = 5) before the tradition-anchored chain at 1n BC (Annunciation; March 25 + 9 calendar months = December 25 exact; schematic April 1 + 270 = January 1, the ~6-day slack absorbed by the 8-day Birth → Naming window). Whether 6n BC denotes birth or conception is left open — the ambiguity may be by design; only the December 25, 1 BC tradition is certain, as tradition. Do not export the conception-reading as a replacement of the birth-anchor label. (Author direction, June 12 2026.)

Guard-scope note: the section references inside the verbatim guard texts above (§4.2; §2.2; §5) resolve within File_42 Final. The local guards [FILE_42 SPACE SEPARATION], [FILE_42 P2 NON-STRADDLING], [FILE_42 P1 NON-INHERITANCE], and [FILE_42 MATTSPAN PROVENANCE] remain defined in File_42 §§0.3–7; each restates a boundary already registered (§31.128 mapping; §31.133 split; File_32 / File_36 P1 displays; §31.57d span provenance).

Reconciliation record (registered; closes the §D.6 hold): the §D.6 decision record held the v3.8 attribution of the Q − 5 base rail to FILE_42 “for reconciliation when File_42 is mounted.” File_42 entered the repository as File_42 Final on June 12 2026, and the hold is closed as convergence: B := Q − 5 in File_42 §0.3 is the geometry-first source-history statement of the same base rail that Restart Capsule §1.18 carries as B_n := Q_n − 5 (Base / Physical) and that the File_32 / File_36 active namespace carries as B⁺ = Q − 5 (§31.128). No competing origin exists. Active prime-to-civil routing is unchanged: standard routing remains the Q − 5 base rail through File_36 / File_32, exactly as Machine Guard [FILE_40 S-DATE SCOPE] states; the §D.6 guard text requires no edit.

Novelty-verification record (Procedures §18; exhaustive token search of Restart Capsule v11.7 and Register v1.6, June 12 2026): AD 31, 26t, 27n, AD 26, and midnight return zero hits in both control files — registered here as new control-file tokens; 2070 is found capsule-governed at Capsule §7.4 (Micro Scale: Christological Ground Zero; 5.75 × 360 = 2070 days; “P8 at micro level”) — the 2070 seed-span and P8 correspondence states are therefore registered as convergence with §7.4, not novelty; 1650 appears in the Capsule only as the Appendix A.3 inverse constant (1650 ↦ 5610), unrelated to the polarity gap — the 1650 backbone control is File_51a §16.10; 4146 is established (Capsule AdamApp30 marker [4146 → 4116] BC; §31 File_34 SKL +1260 display) — no creation-field novelty.

Decision record (registered): AD 31 classified as prime-geometry output converted to a civil date, not a ministry / Passion node (June 11 2026); AD 26t / AD 27n included as phase-resolved ministry-start members (June 11 2026); the second ministry pair rendered 29t/30n → AD 33n, author-confirmed (June 11 2026); §5 wording adjusted so the established +60 Terah variant is not presented as foreign to repository claims (June 11 2026); June 12 2026 author directions: midnight-datum phase protocol adopted (P1 Julian New Year; P2 onward Nisan); AD 31 / AD 30 unified as dual labels of one boundary instant; §§5A–5F composed under author direction (tri-scale structure; ±2 onset window; nativity structure with the reading duality and the §5C.5 Johannine Mirror inversion; polarity-gap ladder and 1650 spine; 2070 seed-span, P8 correspondence, and the Noah → Isaac 40-year Mirror-gap law; Revelation 12 1260 span with the P6 Joshua split); author-message corrections 1866 → 2066 and day → year applied under §5.1 assumed affirmation and logged in File_42 §5F.

Correction record (registered): the sole logged source correction of the File_42 revision — the v10.1 source guard referenced “the A-space continuity rule defined in §1.4,” a dangling pointer (no §1.4 existed in the source); repaired under Procedures §5.1 to “the A-space continuity rule of this file,” carried in Machine Guard [FILE_42 SPACE SEPARATION].

Pointer note: File_42 Final §0 (working state register and §0.3 phase protocol) and §§5A–5F remain the controlling precedent and carry the full guard set, the resolution records, and the post-final Pressure Test record (batteries A–H; findings F1 / F2 applied; verdict pass).

D.8 File_48 Convention Entry — Cumulative Prime Harmonic (condensed)

Registered at File_48 finalization (June 12 2026). File_48 v5.0C is Final; condensed edition. The entry registers only File_48-specific states. The Formation Wobble is not redefined here: it is already registered at §31.138 and in the File_00 Formation-Wobble statistical-scan state, both File_32-controlled, and File_48 uses it by dependency.

Novelty-verification record (Procedures §18; token search of Register v1.7 and Restart Capsule v11.7, June 12 2026): Formation Wobble, pairwise k-difference, and the values +50.669 / +153.333 return hits at §31.138 and the File_00 scan-state — registered below as convergence with §31.138, not novelty. floor rule, membership observation, and the File_48 statistical-candor cluster return zero hits as File_48-keyed states — registered as new File_48 entries. Recomputed conditional probability calculation exists as a File_33 label; File_48 uses it by reference, not redefinition. mod 210 / mod-210 corridor language exists at the File_00 prime-quad center-corridor state (15, 105, 195 mod 210); File_48's residue-class observation concerns quadruplet START classes (11, 101, 191) and is recorded below as a File_32-scope cross-file note, not a redefinition of the corridor state.

D.8.1 File_48 statistical-candor control cluster

The §2.0 control cluster governing every probability statement in File_48:

• Floor rule: a probability of the form k/n is an exact-enumeration rank — the observed configuration scored at least as high as k of the n decadal translations, including itself. 1/n means unique global maximum, the resolution limit of the test, not a free-standing chance estimate.
• Conditionality: every File_48 probability is conditional on the stated target list, cycle set, rail configuration, list range, hub, and null convention, all chosen with the data visible.
• Documented sensitivity: the null-convention choice (Q-shift vs rigid) moves results roughly 2×; the published §2.2 configuration moves from rank 4 of 31500 to rank 1033 of 441000 (1 in 7875 to 1 in 427) across documented alternatives.
• Documented multiplicity: across the 12 recorded §2.4 combinations, exact max-statistic correction moves the best nominal 1 in 2208 to 1 in 675 — a ceiling on the documented dimensions only, not a floor.
• Target-curation disclosure: documented in-sample forks (Methuselah dual node; Isaac excluded; 17→23 expansion; begetting ages only when divisible by 10; three-node expansion defined after the P13 observation) cannot be priced in; accordingly File_48 claims no unconditional probability anywhere.

Claim-status: methodological control state. Scope: File_48 only. Do not generalize the cluster to other files unless a controlling dependency explicitly broadens it.

D.8.2 File_48 Formation-Wobble dependency (convergence with §31.138)

File_48 §3.10 carries the 23-Wobble as a finding controlled by Final File_32, not locally derived. The values converge with §31.138 (P23 +50.669% over n = 10–30; peak +153.333% at n = 10; baseline by n ≈ 48). File_48 adds an early-window reading — enrichment concentrated across the P1–P12 band where File_48's cumulative sums are built, peaking near n = 9–10, decaying to baseline by n ≈ 48 — carried as structural inference dependent on the File_32 metric, not as a new state. The former File_48 §4.4.2 adjacent-gap phrasing was a wording error (adjacent-gap divisibility by 23 sits at baseline) and is corrected to the pairwise k-difference metric; it is not a competing measurement.

Machine Guard [FILE_48 WOBBLE DEPENDENCY]: File_48 is not a second authority for Formation Wobble values. Cite Final File_32 (and §31.138) for any wobble figure. File_48's early-window/decay reading is a File_32-dependent structural inference; do not promote it to a standalone statistical state, and do not treat the corrected §4.4.2 adjacent-gap note as an alternative metric.

D.8.3 File_48 membership-observation state

The structural-inference observation that the quadruplets the chronology projects into the Genesis-derived range (14466 BC down to 1406 BC) are the same low-ordinal set that carries the 23-enrichment: regular Q − 5 projection P2–P13; cumulative-sum projection P2–P10. This is an observation about shared membership of the early quadruplets, not a claim that the date-spans between them are divisible by 23 (they generally are not; e.g. 1866 → 12996 BC = 11130).

Claim-status: structural inference; not load-bearing. Do not export this as a date-span divisibility claim or as evidence of authorial design; it is a membership coincidence at the start of the sequence, left for the reader.

D.8.4 File_48 condensed-edition state

File_48 v5.0C is a condensed edition. The v4.0 source — both analysis scripts, the run log, the full §§3–9 homiletic prose, the §10 constants glossary, §11, and the P17–P30 three-node rows — is the archived narrative reference (routed to the Repository_Change_Archive at finalization). Statistical content carried into v5.0C was recomputed by exact enumeration at the 2026-06-12 revision. The Recomputed conditional probability calculation label (File_33 definition) governs the §2.2 and §2.3 reproduced p-values. The source labels [ESTABLISHED] / [LOCKED] are retained as source-retained theorem-status labels only.

D.8.5 Cross-file note — mod-210 residue classes (File_32-scope; recorded, not resolved)

File_48 records under its Recommended cross-file updates that prime-quadruple START values occupy exactly three residue classes mod 210 (11, 101, 191) across the full tested range, with no post-P103 transition in start residues. This bears on any file wording that describes a mod-210 "settling" beginning after P103. It is recorded here for reconciliation when File_32 is next opened; it is not resolved in the Register and does not alter the File_00 prime-quad center-corridor state (15, 105, 195 mod 210), which concerns corridor centers, not start classes.

D.9 File_53 Convention Entry — BJ 22-Fold Creation-Genealogy Witness

Registered after File_53 Finalization and post-final Pressure Test (June 18 2026). Source file: File_53 Final; post-final pressure tested — The Book of Jubilees as a 22-Fold Creation-Genealogy Witness.

Register-scope note: This entry registers File_53-specific modal-state vocabulary and Machine Guards. It does not revise BJ chronology, File_20's BJ fourth-witness controls, File_51c's macro-rounded witness state, File_54's comparative Luke / BJ state, or the Restart Capsule's File_53 summary. No Style Guide or Restart Capsule update is required from File_53.

Exact-token registration record (Procedures §18; mechanical string search of Register v1.8 and Restart Capsule v11.8, June 18 2026): File_53 was already present in both controls before this registration (Register 2; Capsule 13). Cainan expunged and Cainan-expunged were Capsule-governed terms before this registration (Capsule 5 and 2; Register 0 and 0). Kainan 57 / 57-year were Capsule-governed before this registration (Capsule 1 and 2; Register 0 and 0). The eight File_53 Machine Guard labels listed in §D.9.4 returned zero hits in both controls before this registration. They are registered here as File_53 guards without altering existing Capsule chronology or generic Register definitions.

D.9.1 File_53 working state register

The following File_53 working state register is registered as the File_53 local state vocabulary. These states are simultaneous, non-competing working states unless a local section explicitly narrows the working state.

The following states are active in File_53. They are simultaneous, non-competing working states unless a local section explicitly narrows the working state.

D.9.2 File_53 section-local routing states

The following section-local state labels appear in File_53 outside the working state register. They are registered for retrieval and routing; they do not override the controlling files named in File_53 §0 and in the Restart Capsule.

D.9.3 File_53 claim hierarchy and burden rule

File_53 uses the following interpretive hierarchy:

Claim-burden rule: the primary proof-burden remains the BJ internal architecture of 22 works / 22 heads, Cainan retained historically but expunged covenantally, the 13th solar-position logic, and the Fall-to-rest trunk. Mirror calculations, Key-of-23 expansions, cumulative MT/SP/LXX synchronizations, and Christological typology may corroborate or explain the structure, but they do not carry the primary proof-burden for likely BJ authorial design.

D.9.4 File_53 Machine Guards

Eight Machine Guard entries are present in the pressure-tested File_53 source. The local BJ CREATION-WEEK DUAL STATE guard restates the file-level BJ Creation-week dual-state guard at the section where the state becomes active; it is counted separately because it appears as a separate Machine Guard block in File_53.

Machine Guard [FILE_53 CAINAN LEDGER NON-COLLAPSE]: Cainan retained and Cainan expunged are simultaneous, non-competing ledgers. The historical / narrative ledger preserves Cainan; the theological / covenantal ledger omits Cainan from the sacred 22-count. Do not collapse the retained state into the expunged state or the expunged state into a denial of Cainan's historical function.

Machine Guard [FILE_53 COMPRESSED LEDGER NON-SUBSTITUTION]: The Cainan-expunged 2400 field is a secondary compressed ledger. It does not replace the primary BJ Fall-to-rest trunk 3849 BC → 1399 BC = 2450, nor the File_51c Creation-to-Conquest trunk 3856 BC → 1406 BC = 2450.

Machine Guard [FILE_53 BJ CREATION-WEEK DUAL STATE]: Do not flatten the two BJ Creation-week models into one state. The endpoint model is 3863–3856 BC; the Adam-Day model is 3861–3854 BC; the Adam-Day +30 overlay is 3891–3884 BC with single anchor 3886 BC.

Machine Guard [FILE_53 MIRROR HIERARCHY]: Mirror calculations in Part III are secondary stress-tests. They may corroborate a pattern already grounded in BJ's textual and structural field, but they must not be used as the primary proof of BJ authorial intent.

Machine Guard [FILE_53 CROSS-AXIS OPERATOR]: Where a BC/AD cross-axis span is measured as a civil span, use BC + AD − 1. A-space / Protocol 1 Mirror labels must remain distinct from same-side BC subtraction and from ordinary civil cross-axis measurement.

Machine Guard [FILE_53 49/50 NON-COLLAPSE]: BJ literal jubilees remain 49 years. Macro-50 structure may be opened where the file explicitly invokes 2450 = 50 × 49 or 2500 = 50 × 50, but the macro-50 register does not erase the literal 49-register.

Machine Guard [BJ CREATION-WEEK DUAL STATE]: Do not flatten these two BJ Creation-week models into one state.

Machine Guard [FILE_53 MIRROR SECONDARY SUPPORT]: Do not treat Part III as the proof-burden carrier for the file. The primary proof-burden remains the BJ internal architecture of 22 works / 22 heads, Cainan retained historically but expunged covenantally, and the Fall-to-rest trunk.

D.9.5 File_53 pressure-test count correction

Pressure-test record: File_53 post-final Pressure Test passed on June 18 2026. The only publication-level correction was the Revision Log count of Machine Guards: the Final file contained eight Machine Guard entries, while the Revision Log and cross-file update line said seven. The pressure-tested File_53 source corrected the count to eight. This correction did not create, delete, rewrite, merge, or reinterpret any Machine Guard.

D.9.6 Pointer note

File_53 Final; post-final pressure tested remains the controlling source for full argument context, calculations, state transitions, dependency notes, and local claim-status labels. This Register entry is a routing and guard-control entry only. The Repository_Change_Archive update for File_53 remains pending by author direction and will be handled as a separate full replacement.

D.10 File_50c Convention Entry — Bipartite Grid Landing and SKL/Berossus Naturalization

Active supersession (v1.47): §D.38 replaces D.10's one-sided +2 / +720 firewall. File_50c continues to execute only the rigid macro bracket; local nested subteeth are explicit comparison overlays and never add scan hits.

Registered after File_50c Finalization and post-final Pressure Test (June 18 2026). Source file: File_50c Final; post-final pressure tested — The Bipartite Grid Landing and SKL/Berossus Naturalization.

Register-scope note: This entry registers File_50c-specific modal-state vocabulary, the executable exact-strike inventory, hit-cardinality vocabulary, corrected scan-state totals, the source-parenthetical admission state, coordinate-family compression, the half-step tie convention note, and File_50c Machine Guards. It does not revise File_34's SKL/Berossus derivation, File_32 / File_33 prime-polarity outputs, File_21's SKL Unified Protocol, File_41's Jachin state by Register dependency, or Restart Capsule formulas.

Exact-token registration record (Procedures §18; mechanical string search of Register v1.9 and Restart Capsule v11.8, June 18 2026): Bipartite Grid Landing was already present in both controls before this registration (Capsule 5; Register 2). 0-Strike was Capsule-governed before this registration (Capsule 1; Register 0). Concave Mirror was Capsule-governed before this registration (Capsule 1; Register 0). Dual-Polarity 0-Strike, Sparsity Proof, and Cluster Compression returned zero hits in both controls before this registration. They are registered here as File_50c-local vocabulary without altering existing Capsule formulas or generic Register definitions.

D.10.1 File_50c working state register

The following File_50c working state register is registered as the File_50c local state vocabulary. These states are simultaneous, non-competing working states unless a local section explicitly narrows the active state.

D.10.2 File_50c operator and scan-state controls

File_50c uses the File_50a input values:

$P_{nat}=P-11.$

$V_{90}=round(P_{nat}/90)\times90.$

The Bipartite Grid Landing operator is:

$G=-V_{90}.$

$M=round(G/720)\times720.$

$R=G-M.$

Executable exact-strike inventory after File_50c pressure testing: P2, P6, P13, P17, P19, P23, P56, P73, P78, P83, P91, and P98. P1 is source-history only in the inherited exact-strike list because P1 is bypass-controlled. P83 is executable because 389520 = 541 × 720.

Corrected File_50c scan state:

Half-step tie convention note: when V_90 = 720q + 360, two signed M values are equally near. File_50c preserves exact integer arithmetic and an invariant unordered civil bracket in all such cases. An ordered base / companion display requires a documented tie convention if a downstream implementation needs ordered signed-M labels.

D.10.3 File_50c Machine Guards

Machine Guard [FILE_50C P1 BYPASS]: P1 is the Civil Datum at AD 1 under the File_50a no-naturalization bypass. Do not execute P1 through P_nat, V_90, or the ordinary Bipartite Grid Landing operator. Source v3.0 may be quoted as listing P1 in its exact-strike inventory, but P1 is source-history only in that list and is not an executable exact strike.

Machine Guard [FILE_50C PRIME-POLARITY NAMESPACE]: Dual polarity and signed target-space in this file describe the Bipartite ±720 landing around M. They are not File_32 / File_33 raw prime-space cross-polarity, positive-polarity Q − 5 / Q + 25, negative-polarity / signed A-space Q − 16 / Q + 14, or Coordinate Mirror / Protocol 1.

Machine Guard [FILE_50C P23 NATURALIZED GRID]: P23 31686 BC is the File_50a Naturalized Grid civil landing. Do not collapse it with P23 positive-polarity 31716/31746 BC, negative-polarity AD 31705/31735, raw prime-space cross-polarity, or secondary Coordinate Mirror displays.

Machine Guard [FILE_50C +2 / +720 FIREWALL]: The SKL +2 local rail is a two-year local coordinate shift. The +720 scale-state is the cosmic 720 = 2 × 360 interval used by the Bipartite bracket. They are related scale states but are not interchangeable operators.

Machine Guard [FILE_50C GENERATED BRACKET / LIST HIT]: The Bipartite operator generates a two-position signed bracket, or an exact-strike signed tri-position. Single and Dual describe one or two admitted civil-coordinate intersections, not generation multiplicity. The scan admits primary and source-parenthetical coordinates in ancient-list rows, excludes the contextual 536 BC / 486 BC anchor rows and File_50c §5 meta-anchors, and compresses hits by coordinate-family row identity. Coordinate-identical duplicate rows do not create additional targets.

Machine Guard [FILE_50C RESTORATION / COMPUTATIONAL ANCHORS]: 536 BC is the biblical restoration-anchor state. 486 BC is the Berossus computational-anchor state. They are not an uncertainty pair, one slash-pair node, or interchangeable historical anchors.

Machine Guard [FILE_50C TEXTUAL TARGET / COMPUTED COORDINATE]: SKL and Berossus names and list ordering are source-retained textual or reception-history data. The BC coordinates in File_50c Appendix A are repository calculations or dependency-controlled target states. Do not present the computed coordinates as direct tablet wording.

Machine Guard [FILE_50C JACHIN / CONCAVE MIRROR]: Jachin AD 29515 is a Projective Boundary / Temple-Time Pillar coordinate, not an ordinary historical anchor. The Concave Mirror relation in File_50c §5 is a structural meta-anchor state and does not by itself open Protocol 1, File_36 target-Mirror, rounded mod-10 Mirror, or inverse-number operators.

D.10.4 File_50c cross-file routing

• Use File_50a and Register §D.16 for the P1–P100 Naturalized Master Table, naturalization, Base-90 grid, Civil clutch, P2 naturalization-zero state, and P1 bypass.
• Use File_50c for Bipartite Grid Landing, exact-strike signed tri-position, source-parenthetical admission, target-hit multiplicity, coordinate-family target identity, and the 72 / 28 / 16 scan state.
• Use File_34 for the full SKL / Berossus derivation, source-state vocabulary, 536 BC / 486 BC firewall, and +2 local rail / +720 scale-state firewall.
• Use File_32 and File_33 for Prime–Civil / polarity namespace controls. Do not substitute File_50c Naturalized Grid outputs for File_32 / File_33 positive- or negative-polarity coordinates.
• Use File_21 and the File_41 Register entry for Jachin AD 29515 as Projective Boundary / Temple-Time Pillar state. File_50c uses Jachin only in the structural meta-anchor relation.
• Treat Sparsity Proof, Cluster Compression, and Concave Mirror as source-retained or File_50c-local structural labels with claim-status control; do not promote them to formal probability or direct ancient-authorial-intent claims.

D.11 File_55 Convention Entry — Moses-Node Thirds Primer and Cumulative Marker Ledger

Registered at File_55 finalization after full pressure testing, direct comparison with Final File_23, source-working-record comparison, and the bounded post-revision cross-file audit of June 20 2026; expanded after the post-final SKL / Berossus and hybrid-Creation amendments of June 21 2026; expanded again after the June 22 2026 standard SKL Creation rail-contraction, homogeneous Actual-MT / SKL 430-pair, and adjacent-state robustness amendments; public-clean control registration closed June 27 2026. Source file: File_55 Final — The Third Structure — The Moses-Node Primer across Rounded, Regular, and Cumulative Biblical Chronology.

Register-scope note: This entry registers File_55-specific modal-state vocabulary, the Moses-node thirds-primer operator, its direction and node-class controls, the complete paired Rounded cumulative marker-ledger states, the restored-Cainan +460 → +320 / +280 marker-displacement state, the File_23 Cainan 460 / schematic-480 firewall, the expanded SKL / Berossus Creation–Flood–terminal macro-thirding sample, the hybrid 275766 BC Creation overlay, the June 22 standard SKL Creation rail-contraction and adjacent-state robustness material, the methodological / null-test boundary, and the File_55 Machine Guards registered below. It does not revise File_23's halving scaffold, File_51a's Rounded Scaffold, File_02 / File_22 cumulative chronology, File_34's SKL / Berossus derivation, or the File_50-series external chronology.

Exact-token registration record (Project Procedures §18; mechanical string search of State_Vocabulary_Register v1.10, Restart Capsule v11.9, and Style Guide v2.5, June 20 2026): File_55, Moses-node, third marker, +320 / +280, 175206 BC, 23526 BC, and 8886 BC returned zero hits in all three controls. 8880 returned zero hits in the controls but is already present elsewhere in the repository in a distinct File_51a Mirror state; File_55's Enosh usage is therefore state-distinct convergence, not numeric novelty. The values +460, 2300, 2580, 8640, 7200, 8000, 25920, and the 960 → 480 → 240 → 120 scaffold are established or dependency-controlled values; File_55 registers new operator and state combinations rather than claiming those numbers as new.

Post-final amendment registration note (June 21 2026): The new File_55 external states register the ordered Rail-1 / Rail-2 / Rail-3 bracket D + 720 / D / D − 720, 2160 = LCM(720, 3 × 360) = 30 × 72, the variant SKL Alulim / Adam and Berossus Alorus / Adam markers, the hybrid 34566 + 241200 = 275766 origin, the 184326 BC marker, the 30 + 20 + 30 terminal compression, the signed 486 → 806 → 1446 BC row, and the retained Ubara-Tutu / Noah exception. These are state additions and clarifications, not changes to the underlying File_21 / File_24 / File_34 source values.

Standard SKL Creation registration note (June 27 2026): The June 22 standard SKL Creation amendment registers the 262086 → 2886 BC = 259200 = 10 × 25920 state, the ±720 → ±480 full rail-bracket contraction, selected mod2160 → mod1440, apparent-rail +30 → +20, nested Key-of-23 boundary 750 / 720 / 690 → 500 / 480 / 460, the 430 / 432 dual-precessional state, and the 3706 / 3226 / 2746 BC adjacent-state robustness bracket. These are File_55-specific applications of the Moses-node thirds-primer to dependency-controlled SKL / Berossus inputs. They do not alter File_34, File_21, File_24, or File_51a.

Second exact-token registration record (Project Procedures §18; mechanical string search of State_Vocabulary_Register v1.13, Restart Capsule v11.12, Style Guide v2.5, and Project Procedures v3.2, June 27 2026): scaffold-mechanics, Mirror-mechanics, conquest-week rounded-block, standard SKL Creation, 10 × 25920, mod2160 → mod1440, ±720 → ±480, +30 → +20, 750 / 720 / 690, 500 / 480 / 460, 430 / 432 dual, 3706 / 3226 / 2746, and adjacent-state robustness returned zero exact hits in the current controls. File_51b, AD 1406, 25920, 430, 432, 720, and 1446 BC are established or dependency-controlled; this update registers state combinations and guard language rather than claiming the underlying values as new.

D.11.1 File_55 working state register

D.11.2 Moses-node operator and File_23 Cainan boundary

The File_55 primer uses the fixed nodes:

1486 BC; 1446 BC; 1406 BC

For integer input date D, select the unique node N for which:

Define:

The ordinary display is:

D → M → N

For an input later than its selected node, retain the signed result; do not force a positive span. If two endpoints route to the same node, the marker-to-marker lifespan is exactly two-thirds of the source lifespan. A uniform same-node shift contracts by two-thirds, so +60 → +40. If an input shift also changes the selected node, use the full operator rather than a same-node shortcut.

State guard — File_23 Cainan 460 / schematic 480: File_23 does not assign Cainan a 480-year lifespan. Cainan remains 460. In File_23, 480 belongs to the rounded Shem-to-Eber + Cainan 4+1 average-class and to the schematic 480-year displacement between the with-/without-Cainan halving-table heads. Neither display replaces File_55's cumulative restored-Cainan operator +460.

Anchor-tier note: The File_55 year-labels 175206 BC, 175686 BC, 179526 BC, 180006 BC, 23526 BC, 184326 BC, 311526 BC, 311046 BC, 18726 BC, 14406 BC, 10126 BC, 10146 BC, 9806 BC, 9826 BC, 8886 BC, 8606 BC, 4026 BC, 3706 BC, 3206 BC, and 806 BC are derived third markers or local anchoring nodes under Register §D.3. They are not automatically Repository endpoint anchors and do not require promotion to the Restart Capsule Primary anchors inventory merely because they anchor later File_55 comparisons. External inputs such as 268566 / 269286 / 466566 / 465846 / 275766 / 39486 / 3606 BC retain their File_21 / File_24 / File_34 node-classes and are not redefined by File_55.

D.11.3 File_55 Machine Guards

Machine Guard [REGULAR +130 / CUMULATIVE +460]: Restored 2nd Cainan contributes 130 in Regular begetting chronology and 460 in cumulative lifespan chronology. Do not substitute one value for the other.

Machine Guard [LIFESPAN VS. CHRONOLOGY FIREWALL]: Cumulative lifespan dates are biographical volumes stacked end-to-end. They are not ordinary historical birth dates, and they must not be conflated with sequential narrative spans such as the 430-year sojourn.

Machine Guard [APPARENT-AGE LOCALIZATION]: The +30 Apparent Age is a localized Adamic overlay. It does not propagate through later patriarchal dates unless a local schematic state explicitly defines such propagation.

Machine Guard [THIRD MARKER NODE-CLASS]: A third marker is a derived coordinate. It may coincide with a historical, schematic, Rounded, Actual, prophetic, or typological node, but identity requires agreement of state, node-class, and operator.

Machine Guard [SHARED YEAR-LABEL]: A year label shared by multiple states is not automatically the same node. 3706 BC, 4106 BC, 4116 BC, and other repeated labels must retain their source state and operator.

Machine Guard [FLOOD / SHEM-DEATH / CAINAN NODE-CLASS]: 4836 BC is the base Rounded cumulative Flood / Shem-death / Arphaxad boundary; 5296 BC is its restored-Cainan +460 counterpart; 4856 BC is restored cumulative Cainan's birth / start; and 4396 BC is Cainan's death / Shelah boundary. The shared third marker 3706 BC belongs specifically to 4836 BC and 4856 BC. Do not treat 5296 BC as a third input to that same overlap.

Machine Guard [RESTORED-CAINAN CASCADE LIMIT]: The cumulative +460 shifts Adam through the Arphaxad / Flood / Shem-death boundary. It does not propagate beyond the local Cainan life 4856–4396 BC; Shelah and all later cumulative coordinates remain unchanged.

Machine Guard [SKL / BEROSSUS DEPENDENCY]: The SKL and Berossus dates used in this file are imported whole-year physical / computational anchors governed by Restart Capsule v11.11, File_21, File_34, and the File_50-series. File_55 applies its local thirds primer to those anchors; it does not rederive the external chronologies or open their full variant matrices.

Machine Guard [MACRO-THIRDING NODE / CROSS-LAYER FIREWALL]: The imported SKL and Berossus inputs in §7.16 route directly through the 1446 BC Exodus node. The 175206 BC → 3206 BC = 172000 relation is a secondary marker-to-marker comparison across SKL and Rounded Regular MT states. The 14406 BC harmonic is 10× only in its span to 6 BC: 14400 = 10 × 1440; it is not the decimal multiplication of the year-label 1446 BC.

Machine Guard [FOURTH-TRUMPET TYPOLOGY]: The comparison with Revelation 8:12 is a structural / typological reading. 25920 is the standard precessional-year span under the repository's 72-year precessional-day convention; 36000 is a Key-of-23-expanded sexagesimal macro-span. Do not collapse them into one physical astronomical unit or treat the arithmetic as proof of direct SKL, Berossian, or Johannine authorial coordination.

Machine Guard [HYBRID BEROSSUS / SKL CREATION OVERLAY]: 275766 BC is a derived hybrid node: the Berossus Flood anchor 34566 BC plus the SKL eight-kings antediluvian span 241200. It does not replace the native SKL Creation anchors 262086 / 268566 BC, the Berossus Alorus / Adam anchor 466566 BC, or the Berossus ten-kings span 432000. Its File_55 third marker is 184326 BC. The seven-precessional-year span is 184326 → 2886 BC, not 275766 → 2886 BC. The arithmetic does not prove that Berossus consciously used the thirding process.

Machine Guard [SKL +2 / +720 / mod2160 FIREWALL]: The local SKL +2 rail and the cosmic ±720 scale-state are related by the 360:1 scalar but are not interchangeable operators. In §7.16, ±720 names an ordered cosmic bracket and mod2160 tests the span to 1446 BC. It does not authorize a floating 720-year adjustment elsewhere.

Machine Guard [MOD2160 EXPECTATION / LANDING SIGNIFICANCE]: For a qualifying span D − 1446 = 720k, the ordered ±720 bracket changes k to k + 1, k, and k − 1; exactly one is divisible by 3. The existence of one exact 2160 member is therefore structurally expected. The resulting third marker, endpoint harmonics, and cross-state landings must be evaluated separately and do not by themselves establish intentional design.

Machine Guard [SKL TERMINAL BASE / +30 RAIL]: 2906 BC and 2856 BC are the SKL Short / Long physical bases. 2936 BC and 2886 BC are their +30 Apparent Mode rails. The strict 3606 → 2886 → 1446 BC mod2160 display uses 2886 BC; it does not convert the physical 2856 BC anchor into the apparent rail.

Machine Guard [PRECESSIONAL-DAY DUAL STATE]: The standard precessional day is 72 years. The alternate day is 71⅔ = 215/3 years. Use each only where explicitly opened. The alternate display may corroborate a 430 / 432 pairing but must not correct or replace the standard 72-year state.

Machine Guard [BEROSSUS 486 BC CORRIDOR]: 486 BC is the Berossus computational anchor paired by the 2370 corridor with the SKL Long physical base 2856 BC. The SKL Long +30 rail 2886 BC maps to 516 BC, not 486 BC. The local 486 → 806 → 1446 BC thirding remains valid without calling 486 BC the strict equivalent of 2886 BC.

Machine Guard [UBARA-TUTU EXCEPTION]: Ubara-Tutu / Noah is retained as the named exception to the deep-time ±720 / mod2160 sample. Do not silently regularize the row or suppress it from a later corpus sweep.

Machine Guard [EXTERNAL SAMPLE COMPRESSION]: Section 7.16 records a logical sample of Creation / first king, Flood, and post-Flood terminal junctures. It does not enumerate every SKL / Berossus anchor resonance. The compression is editorial: the omitted detail remains dependency-controlled, not absent or disconfirmed.

Machine Guard [PRECESSIONAL UNIT STATE]: 72 years is the standard precessional day. 71⅔ = 215/3 years is the alternate display. Do not average, merge, or use one to correct the other.

Machine Guard [SHEM TWO-STATE PIVOT]: 2556 BC and 1958 BC belong to different Shem reckoning members. Their 598-year difference is a cross-state pivot display, not Shem’s literal lifespan.

Machine Guard [DANIEL TEXT / EQUAL-HALF DISPLAY]: The canonical textual figures are 2300 in Daniel 8:14 and 1290 in Daniel 12:11. The equations 2300 = 1150 + 1150 and 2580 = 1290 + 1290 are structural equal-half displays. Do not rewrite Daniel 8:14 as a direct textual statement of 1150 days, and do not rewrite Daniel 12:11 as a direct textual statement of 2580 days.

Machine Guard [GESTATION / CIVIL-SPAN UNIT FIREWALL]: The 280 / 320 marker displacements are chronological year-values. Their comparison with gestational day-numbers is a biological-fractal typological overlay. The 6 BC → AD 35 relation is a 40-year civil span. The 8640 precessional-day display is a component display, 4300 + 4300 + 40, that excludes the intervening 280 gestational component; the continuous civil cross-axis span from 8886 BC to AD 35 remains 8920. The Moses-facing 7200 and 7360 → 8000 comparisons are endpoint comparisons from Enosh markers; they are not the same operation as the direct primer routing of those markers. Do not treat days and years as the same physical unit, do not use the optional 71⅔ display to correct the standard 72-year precessional day, and do not let the typological overlay replace the underlying marker arithmetic.

Machine Guard [SKL / BEROSSUS MACRO-THIRDING]: The ordinary direct third markers are 18726 BC, 14406 BC, 175206 BC, 179526 BC, 23526 BC, 184326 BC, and 311526 BC, all routed through 1446 BC. The rail-normalized markers are 175686 BC, 180006 BC, 311046 BC, 2886 BC, and signed reverse marker 806 BC. Values such as 172000, 14400, 36000, 12000, 24000, 176400, 180000, 181440, 182880, 241200, 274320, 309600, and 311040 are secondary spans, source spans, or expansions, not replacement civil-date nodes. Preserve direct marker, rail-normalized marker, remaining span, expanded span, and cross-state comparison as distinct node-classes.

Machine Guard [SKL CREATION RAIL CONTRACTION]: The ordered source bracket is 262806 / 262086 / 261366 BC; its ordered marker bracket is 175686 / 175206 / 174726 BC. The full bracket contracts ±720 → ±480, so every marker span to 1446 BC is divisible by 480. Only the source Rail-1 span is divisible by 2160, and only its marker span is divisible by 1440. Do not discard the flanking 480 markers merely because they are not the selected mod1440 member.

Machine Guard [SKL +30 → +20 KEY-OF-23 BOUNDARY]: The source apparent rail +30 contracts to a marker offset +20. The cross-span fields 750 / 720 / 690 and 500 / 480 / 460 are bounded adjacent-rail matrices, not new universal rail spacings. Their outer boundaries are linked by 690 × 25/23 = 750 and 460 × 25/23 = 500.

Machine Guard [SKL CREATION 430 / 432 CROSS-STATE]: Preserve 430 = 6 × 71⅔ and 432 = 6 × 72 as alternate and standard precessional states. 172000 = 400 × 430 and 172800 = 400 × 432 are distinct exact spans. The primary alternate row is homogeneous: 262116 / 4116 BC → 175226 / 3226 BC, all through 1446 BC. The Rounded relation 262086 BC → 175206 BC → 1446 BC beside 4106 BC → 3206 BC → 1406 BC is secondary marker-level corroboration only. 3226 BC and 3206 BC remain derived coordinates under their stated node-classes and primer nodes.

Machine Guard [SKL ADJACENT-STATE ROBUSTNESS RESTRAINT]: The 175706 / 175226 / 174746 BC → 3706 / 3226 / 2746 BC bracket is an adjacent-state robustness observation under 172000 = 400 × 430. It does not collapse the Rounded cumulative Flood / Cainan marker, Actual MT Year-6 marker, and adjacent apparent-rail markers into one node, and it does not assert intentional design. Preserve the bracket as state-controlled robustness, not proof burden.

Machine Guard [INVESTIGATION SCOPE]: File_55 is confined to the chronological, arithmetic, structural, comparative, and theological states defined in its header and state register. Do not import source methodology that this file has not opened.

Machine Guard [NO STATE COLLAPSE]: Do not collapse Actual Regular, Rounded Regular, Actual Cumulative, Rounded Cumulative, restored-Cainan, apparent-age, schematic-halving, LXX, SP, SKL, Berossus, Temple, Christ-hinge, or prophetic comparison states because they share a date or number.

Machine Guard [KEY-OF-23 WHOLE-YEAR STATE]: The 25/23 and 70/69 calculations in this file are ordinary whole-year Key-of-23 expansions. They do not open Residue Protocol, decimal residue, physical-day residue, or Mirror mechanics.

Machine Guard [TYPOLOGY NON-SUBSTITUTION]: Watchers, Nephilim, Psalm 90, Revelation 8 / 12, Temple, Christ, Conquest, SKL, and Berossus interpretations explain thematic fit. They do not substitute for the stated arithmetic or source chronology.

D.11.4 Methodological / null-test boundary

Source-control note: The arithmetic results in this file do not by themselves establish that the Moses-node primer detects intentional chronological design. The selector always produces an output; the recognized-number vocabulary is dense; many rows use Rounded chronology or admitted state choices; and several recurring effects—including unique routing, +60 → +40, and same-node two-thirds contraction—are algebraic consequences of the operator.

The source working record identifies the LXX Shem-death 1290 → 430 row and Abraham’s call 2091 → 1876 → 1446 as the two lowest-slack examples. Even these remain selected instances rather than evidence until tested against a null chronology.

In the external sample, one exact mod2160 member within a qualifying ±720 bracket is algebraically expected. The evidentiary objects are therefore the marker landings, endpoint harmonics, and retained misses. Ubara-Tutu / Noah remains explicitly retained as a miss in the current sample.

The required test is to predefine the counted operations, target-number vocabulary, admitted variants, and hit criterion; sweep all real inputs while retaining misses; and compare the resulting hit rate with the identical procedure applied to shuffled and random chronologies. Unless the observed rate exceeds the null rate, the hypothesis remains unestablished and is not asserted. If the test does not separate the chronology from chance, the line of inquiry is dropped; if it does, the two lowest-slack cases are the appropriate starting point for a stronger argument.

D.11.5 File_55 cross-file routing

• Use File_55 for the Moses-node thirds-primer, direct and rail-normalized third markers, paired Rounded cumulative marker ledgers, Cainan marker displacement, Flood 2300 / 2580 comparison, Enosh 7200 / 8000 / 8640 / 8880 field, the bounded SKL / Berossus Creation–Flood–terminal sample through ±720 / mod2160, the standard SKL Creation rail contraction, the apparent-rail +30 → +20 contraction, the 430 / 432 dual-precessional state, and the adjacent-state robustness bracket.
• Use File_23 for the controlling 960 → 480 → 240 → 120 schematic halving scaffold, Shem / Peleg boundary logic, and the original 479 actual / 480 rounded 4+1 average comparison. Cainan remains 460.
• Use File_51a for the Rounded Scaffold, Actual / Rounded comparison boundaries, localized +30 Apparent Age, and the distinction between Regular +130 and cumulative +460 restored Cainan.
• Use File_02, File_18, and File_22 for cumulative chronology, Flood / Shem boundaries, source tables, and cumulative harmonic controls.
• Use File_34, File_21, File_24, File_26, and the File_50-series for full SKL / Berossus chronology, precessional units, external variant matrices, and imported-anchor derivation. File_34 controls 34566 + 241200 = 275766; File_55 applies the primer but does not replace those derivations.
• Use File_33 only for the dependency-controlled 5290 / 4830 Christ-facing field opened by File_55. Do not import the broader prime-polarity or Mirror system unless explicitly opened.
• Treat File_55's fourth-trumpet, Watchers, gestation, Psalm 90, Temple, Christ, and Conquest correspondences as classified typological or providential readings. They do not carry the arithmetic burden.

D.11.6 Pointer note

Final File_55 with the June 21 2026 post-final SKL / Berossus and hybrid-Creation amendments and the June 22 2026 standard SKL Creation rail-contraction / adjacent-state robustness amendments remains the controlling source for the complete ledgers, equations, state transitions, source-integration record, Audit notes, and open research items. Amended File_34 remains the controlling source for the origin of 275766 BC. This Register entry supplies retrieval vocabulary, operator routing, state boundaries, and File_55 Machine Guards. The formal shuffled / random null comparison remains an open research item, not a source-control or finalization blocker. The Repository_Change_Archive update remains pending until the current Archive source is supplied.

D.12 File_52a / File_52b inverse-number architecture and technical supplement registration

Source-control note: Final post-final pressure-tested File_52a and Final post-final pressure-tested File_52b are now the controlling File_52a / File_52b sources. File_52a states the inverse-number architecture. File_52b supplies dense technical tables, constrained chains, secondary corroborations, no-placeholder and reverse-jubilee material, Cainan overlays, SKL / Pillar interoperability notes, and appendices. The two files are companion files; neither replaces File_51a, File_51b, or File_52c.

D.12.1 Registered File_52a / File_52b state labels

D.12.2 File_52a Machine Guards

Machine Guard [FILE_52A INVERSE / MIRROR FIREWALL]: Inverse-number reversal is a base-10 transformation of a span or structured value. It is not Protocol 1 Mirror target generation, not Protocol 2 phase Mirror, and not civil cross-axis span-counting.

Machine Guard [FILE_52A CIVIL SPAN EXECUTION]: When an executable BC-to-AD civil span is opened, use BC + AD − 1 = total. Do not use ordinary signed subtraction across the epoch boundary unless an explicitly labeled A-space calculation is being performed.

Machine Guard [FILE_52A A-SPACE DISPLAY]: A-space may be used to display mirror coordinates or signed cross-axis relations. A-space display does not replace civil BC/AD labels in ordinary chronological statements.

Machine Guard [FILE_52A ROUNDED INVERSE AXIOM]: When a rounded span is inverted and the raw inverse falls off the mod-5 lattice, normalize to the nearest mod-5 value before reapplying the span chronologically.

Machine Guard [FILE_52A PLACEHOLDER FORCE]: Placeholder-preserving inversion is the primary register of File_52a. Do not strip trailing zeros unless a local section explicitly opens File_52b no-placeholder compression.

Machine Guard [FILE_52A NO-PLACEHOLDER COMPRESSION]: No-placeholder compression belongs to File_52b as a secondary technical confirmation. It does not replace placeholder force and does not become the default operator in File_52a.

Machine Guard [FILE_52A ANCHOR RULE]: Regular inverse chains are reckoned from 1406 BC, 1446 BC, or 6 BC only where the section states the active anchor. The cumulative inverse lifespan chain summary is reckoned from 1406 BC by File_52b dependency.

Machine Guard [FILE_52A TRUNK-FIRST HIERARCHY]: The inverse architecture is trunk-first. Do not promote branch coincidences above the regular trunk 2700 → 7200, the cumulative trunk 12600 → 62100, or the 9900 transfer bridge.

Machine Guard [FILE_52A APPARENT-AGE PROPAGATION]: The Adamic +30 overlay is meaningful only where it rides on an already load-bearing node. Intrinsic Creation-pole use and inherited inverse-pole use must remain distinct.

Machine Guard [FILE_52A FILE_52B BOUNDARY]: Dense tables, constrained chains, no-placeholder readings, reverse-jubilee corroborations, SKL / Pillar interoperability, and appendices remain File_52b-controlled. File_52a states the architecture and cites File_52b rather than reproducing its full proof burden.

Machine Guard [FILE_52A FILE_52C BOUNDARY]: Second-order closure, inverse-of-the-inverse chains, and full square / gate-field interpretation remain File_52c-controlled unless a local section explicitly opens a bounded preview.

Machine Guard [FILE_52A AUDIT NOTE REQUIRED]: Do not silently correct arithmetic, Mirror arithmetic, operator mismatch, or state logic. Preserve the source statement and add an audit note where needed.

D.12.3 File_52b Machine Guards

Machine Guard [FILE_52B TECHNICAL SUPPLEMENT BOUNDARY]: File_52b supplies technical tables and dense corroborations for File_52a. Do not promote File_52b into a replacement architecture file, and do not import File_52c second-order interpretation into File_52b except as dependency-bound raw data.

Machine Guard [FILE_52B INVERSE / MIRROR FIREWALL]: Base-10 inverse-number reversal is not Mirror target generation and not ordinary civil cross-axis elapsed-span arithmetic. A line may use inverse reversal, A-space Mirror display, or civil BC + AD − 1; the active operator must be explicit.

Machine Guard [FILE_52B CIVIL SPAN EXECUTION]: For executable cross-axis spans, enforce BC + AD − 1 = total. Do not silently treat a Mirror label as an executable civil-span equation.

Machine Guard [FILE_52B PLACEHOLDER PRIMARY REGISTER]: Placeholder-preserving inversion is the primary register unless a section explicitly opens no-placeholder compression. Examples include 30 → 30, 60 → 60, 100 → 100, 500 → 500, and 130 → 310.

Machine Guard [FILE_52B NO-PLACEHOLDER SECONDARY REGISTER]: No-placeholder compression confirms the primary placeholder system but does not compete with it. Label no-placeholder operations explicitly and do not retroject them into primary inverse tables.

Machine Guard [FILE_52B ROUNDED INVERSE AXIOM]: When a rounded span is inverted and the raw inverse falls off the mod-5 lattice, normalize to the nearest mod-5 value before reapplying it chronologically. Do not silently replace the normalized inverse with the raw off-lattice inverse.

Machine Guard [FILE_52B ANCHOR RULE]: Regular inverse chains are reckoned from 1406 BC or 1446 BC only when specified. The cumulative inverse lifespan chain is reckoned from 1406 BC. Do not transfer one anchor to another section without restating the state.

Machine Guard [FILE_52B INVERSE DEATH-DATE STRUCTURAL NOTATION]: Inverse death-dates are structural notation generated by inverse birth-date plus inverse rounded lifespan. They need not behave as ordinary historical death-dates. Do not use them as biological-history claims.

Machine Guard [FILE_52B CAINAN OVERLAY NON-REPLACEMENT]: The regular +310 inverse-begetting overlay and cumulative 640 inverse-lifespan insertion are overlay states. They do not replace the base regular or cumulative inverse lines.

Machine Guard [FILE_52B APPARENT-AGE PROPAGATION]: The Adamic +30 applies only where riding on a load-bearing node. Preserve the intrinsic / inherited distinction; do not attach +30 to every attractive date.

Machine Guard [FILE_52B SKL / PILLAR CORROBORATIVE ENVIRONMENT]: SKL, Berossus, and Pillar material in this file is corroborative and dependency-controlled. Full derivation belongs to the SKL / Berossus / Pillar control files unless a local section explicitly opens a bounded calculation.

Machine Guard [FILE_52B FILE_52C BOUNDARY]: Appendix B supplies raw four-triad mean-field data for File_52c. The square-gate interpretation and second-order closure remain File_52c responsibilities.

Machine Guard [FILE_52B AUDIT CONTROL]: Do not silently correct uncertain arithmetic or operator conflicts. Use Audit note: or dependency-boundary wording. Non-load-bearing rows may be removed from active proof use when author direction requires it.

D.12.4 File_52a / File_52b cross-file routing

• Use File_52a for inverse-number architecture, the base-10 reversal operator, the Rounded inverse axiom, the 9900 transfer bridge, trunk-first hierarchy, regular and cumulative trunk inversions, and the local File_52a argument structure.
• Use File_52b for dense technical tables, regular inverse begetting chronology, cumulative inverse lifespan chronology, no-placeholder chains, reverse-jubilee checks, Cainan overlays, terminal-digit concentration, apparent-age survey, decadal mirror-test counts, four-triad mean-field raw data, and inverse Pillar / Babylonian-field technical material.
• Use File_52c for second-order inverse closure and square / gate-field interpretation. Do not import File_52c conclusions into File_52a or File_52b unless a section explicitly opens that dependency.
• Use File_51a for Rounded Scaffold and mod-5 source controls. Use File_51b for formal Mirror mechanics. Use File_54 for comparative later-file claim-status and Mirror role classification.
• Use File_17, File_18, File_21, and File_34 for prophetic span grammar, raw chronological data, SKL Unified Protocol, and SKL / Berossus / Pillar derivations where those states are opened.
• The inherited non-load-bearing AD 1405 Mirror rows formerly active in File_52a §14 and File_52b §13.1 are not active proof rows in the final post-final pressure-tested sources. Do not restore them without an explicit author decision.

D.12.5 Pointer note

Final post-final pressure-tested File_52a and File_52b remain the controlling sources for their complete headers, pass ledgers, state registers, File maps, equations, tables, and audit notes. This Register entry supplies retrieval vocabulary, operator routing, state boundaries, and File_52a / File_52b Machine Guards. No arithmetic value, anchor, modal state, node-class, sign convention, operator, Mirror protocol, theological claim, or dependency boundary is changed by this registration.

D.13 File_51a / File_51b Handoff and Rounded Conquest-Block Display Guard

Registered June 27 2026 as a bounded public-clean control update after File_51a public-clean completion. Source file: File_51a Public Clean v1.1.

D.13.1 Registered state labels

D.13.2 Machine Guard

Machine Guard [FILE_51A / FILE_51B HANDOFF]: File_51a supplies the Rounded Scaffold and its mod-5 mechanics. File_51b supplies Cross-Polarity Mirror and deep-time translation mechanics. Do not read File_51b Mirror mechanics back into File_51a as the scaffold's proof layer, and do not reduce File_51a scaffold states to Mirror states when File_51b cites them. Where AD 1406 / AD 1401 are reused from File_51a §§16.7–16.8, they are rounded Conquest-week block display labels. Strict Protocol 1 remains 1406 BC → AD 1405 and 1401 BC → AD 1400; BC + AD − 1 remains the civil cross-axis span operator.

D.13.3 Cross-file routing

• Use File_51a for Rounded Scaffold mechanics, mod-5 state controls, Actual / Rounded boundaries, localized +30 Apparent Age, +60 Terah, cumulative rounded-layer controls, and the §16.7–§16.8 rounded Conquest-block display convention.
• Use File_51b for formal Cross-Polarity Mirror and deep-time translation mechanics when that file is opened.
• Use File_52a and File_52b for inverse-number architecture. Inverse-number reversal is not a Mirror protocol and is not imported into File_51a as a primary operator.
• Use File_54 for later comparative claim-status restraint and Mirror role classification where Luke / BJ / Rounded Scaffold synthesis is opened.

D.14 File_51b Convention Entry — Cross-Polarity Mirror and Deep-Time Translation Engines

Registered June 27 2026 after File_51b Finalization and post-final Pressure Test. Source file: File_51b_Final_Post_Final_Pressure_Tested.md.

Source-control note: File_51b is the controlling file for formal Cross-Polarity Mirror mechanics and deep-time translation-engine logic. It acts upon the Rounded Scaffold states controlled by File_51a. It bridges toward inverse-number architecture but does not replace File_52a or File_52b, which remain controlling for inverse-number architecture and its technical supplement.

D.14.1 Registered File_51b state labels

D.14.2 File_51b Machine Guards

Machine Guard [FILE_51B / FILE_51A HANDOFF]: File_51a controls Rounded Scaffold mechanics. File_51b controls formal Cross-Polarity Mirror mechanics and deep-time translation-engine logic. Do not retroject File_51b Mirror argument burden into File_51a as its primary scaffold argument.

Machine Guard [FILE_51B / FILE_52A HANDOFF]: File_51b may bridge toward inverse-number architecture, but File_52a controls inverse-number architecture and File_52b controls the technical supplement. Do not make File_51b the inverse-number control file.

Machine Guard [PROTOCOL 1 / PROTOCOL 2 NON-COLLAPSE]: Protocol 1 is pure rounded A-space integer Mirror. Protocol 2 is Tishri/Nisan midpoint-pivot Mirror. They are not interchangeable, and Protocol 2 is not a blanket +1 correction to Protocol 1.

Machine Guard [CIVIL CROSS-AXIS SPAN]: After the AD target-state is generated, every executable civil cross-axis span uses BC + AD − 1. Do not introduce a second span operator.

Machine Guard [AD 1406 / AD 1401 DISPLAY]: Where AD 1406 or AD 1401 appears by File_51a §§16.7–16.8 precedent, it is a rounded Conquest-week block display label. Strict Protocol 1 targets remain 1406 BC → AD 1405 and 1401 BC → AD 1400.

Machine Guard [11111 / 11110 / 11100 / 11109 NON-COLLAPSE]: 11111, 11110, 11100, and 11109 are distinct translation-engine states. Do not average, harmonize, or silently substitute one for another.

Machine Guard [LXX 5556 ACTUAL YEAR-6 SELF-MIRROR]: The 5556 BC member of the 11111 self-mirror state is the LXX +60 Terah actual Year-6 state, not a rounded state. The display 5556 + 5556 − 1 = 11111 is a convenient same-numeral expression of the full Year-6 envelope. It must not be corrected to a rounded 4166 BC-type state or treated as a fudging error.

Machine Guard [11111 PALINDROME / INVERSE BRIDGE]: 11111 is a base-10 palindrome. File_51b may state this as a bridge observation, but File_52a and File_52b remain the controlling files for inverse-number architecture. Do not promote File_51b into the inverse-number check file.

Machine Guard [11106 BC SINGULARITY NON-REIFICATION]: 11106 BC is a compact BC-side source-point generated by the convergence of translation corridor states. It is not a second Creation date and must not replace any MT, SP, LXX, or Rounded Creation anchor.

Machine Guard [LXX SOURCE-RECONSTRUCTION BOUNDARY]: Smith may support reconstruction of the LXX Genesis chronological layer. Smith is not the source of File_51b Mirror mechanics, the translation-engine interpretation, inverse-number architecture, or comparative reading.

Machine Guard [BIOLOGICAL / LEVITICAL CALENDAR-SCALING RESTRAINT]: Biological and Levitical calendar-scaling material remains dependency-controlled by File_12, File_13, File_14, File_20, File_51c, and File_53 where those arguments are opened. Gestation may be expressed as 270 days (9 × 30) or 280 days (40 × 7) according to the active state. Leviticus 12 divides the male purification state as 7 + 33 = 40 and the female purification state as 14 + 66 = 80; thus 280 + 40 = 320 for the male completion display and 280 + 80 = 360 for the female completion display. These are state-labeled calendar-scaling comparison rows, not independent claims.

Machine Guard [NO SILENT ARITHMETIC CORRECTION]: Do not silently correct visible arithmetic, state logic, year labels, route logic, or source-control wording. If an equation or route appears inconsistent, retain it with an Audit note until verification or author decision resolves it.

D.14.3 Cross-file routing

• Use File_51a for Rounded Scaffold mechanics, mod-5 source controls, actual / rounded boundaries, localized +30 Apparent Age, +60 Terah, cumulative rounded-layer controls, and File_51a §23.7 5-year mod-5 block logic.
• Use File_51b for formal Cross-Polarity Mirror mechanics, Protocol 1 / Protocol 2 target-generation, civil span target discipline, 8280 cross-modal centricity, and the 11111 / 11110 / 11100 / 11109 translation-engine family.
• Use File_52a and File_52b for inverse-number architecture, base-10 digit reversal, placeholder force, no-placeholder technical supplement, and downstream inverse proof burden.
• Use File_12, File_13, File_14, File_20, File_51c, and File_53 for biological / Levitical / Jubilees / Creation-week comparison states where those materials are opened.
• Use File_16, File_18, and File_22 for 1876 BC Nexus controls, raw chronological table values, cumulative MT, and Rounded Scaffold non-retrojection.
• Use File_21 and File_34 for SKL / Berossus / precessional dependency controls where deep-time material touches those systems.
• Use File_54 for later comparative synthesis style, Mirror role classification, inverse appendix restraint, and claim-status calibration.

D.14.4 Pointer note

Final post-final pressure-tested File_51b remains the controlling source for complete equations, body sections, state transitions, audit notes, pressure-test record, and Revision Log. This Register entry supplies retrieval vocabulary, operator routing, state boundaries, and File_51b Machine Guards. No arithmetic value, anchor, active modal-state logic, node-class, sign convention, operator, Mirror protocol, theological claim, or dependency boundary is changed by this registration. The Repository_Change_Archive update remains pending until the current Archive source is supplied or explicitly authorized.

D.15 File_44 Compact Convention Entry — Chronological Scaling Laws 10x / 100x

Registered June 27 2026 as a bounded public-clean cross-file update after Files_41–45 public-clean cleanup. Source files: File_44_Public_Clean_v1_0.md and File_44_Final_Post_Final_Pressure_Tested.md.

Source-control note: File_44 controls scaling-law vocabulary and state boundaries for macro-harmonic displays that depend especially on File_42, File_43, and File_32 / File_33. It does not introduce new civil anchors, does not replace the genealogy locks in File_43, and does not import File_45 exact-sweep statistics back into File_44.

D.15.1 Registered File_44 state labels

D.15.2 File_44 Machine Guards

Machine Guard [FILE_32 / FILE_33 TERMINOLOGY]: When prime-grid, P2, polarity, rails-space, A-space, or Mirror language is active, use the File_32 / File_33 Prime–Civil / Polarity Namespace. Positive-polarity date-output / rails-space B/M, negative-polarity / signed A-space date-output, prime-space cross-polarity, Coordinate Mirror / Protocol 1, and civil cross-axis arithmetic remain distinct.

Machine Guard [P2 NON-STRADDLING]: Do not chain 36 BC ↔ 6 BC ↔ AD 25 as one continuous operator. The P2 positive rails-window is 6 BC / 36 BC. The P2 negative-polarity / signed A-space bridge is 6 BC / AD 25.

Machine Guard [P2 LOCAL LABELS]: Where File_42 or File_43 uses local labels Operator A and Operator B, those labels refer only to the P2 split and must not be reused for unrelated ratio expansions or scaling-law operators.

Machine Guard [SPAN PROVENANCE]: MirrorVolume 8050 uses LukeIntervals = 5250 and MattSpan_BirthHinge = 2800 only.

Machine Guard [MATTHEAN CARRIER PROHIBITION]: MattSpan_Carrier = 2870 must not be substituted into 8050, 8750, or Seal700.

Machine Guard [SEAL700 STATUS]: Seal700 is generated by expansion difference: 8750 − 8050 = 700 = 10 × 70. It is not an independent genealogy span and not a substitute input.

Machine Guard [TRIAD DISPLAY RESTRAINT]: Triads or generational displays using 40, 70, and 100 are not locks unless independently authorized by the active dependency state. Display motifs do not generate anchors.

Machine Guard [ROUNDED MOTIF NON-RETROJECTION]: Rounded or visibility conventions such as 18200 = 50 × 364 under rounded anchors do not retroject into actual chronology, Flood Gear, MirrorVolume, or Seal700.

Machine Guard [MT / SP / LXX WITNESS STATES]: Where MT, SP, and LXX are compared, preserve them as distinct textual / chronological witness states. Do not collapse them into one literal chronology, and do not overstate demonstrable scribal intent unless a local source-critical dependency supplies that evidence.

Machine Guard [5556 BC NODE-CLASS]: In File_44, 5556 BC is the LXX Maximum Year-6 / Adam-state display by File_14 dependency. It is not the LXX Maximum endpoint display 5554 BC, the Year-7-start boundary 5555 BC, or a generic LXX endpoint.

Machine Guard [5256 BC SHARED DATE-LABEL]: In File_44, 5256 BC is a shared date-label. Locally it functions as the Shadow Creation bracket. By File_54 dependency it is Luke Shadow Creation / LukeIntervals from 6 BC. By File_43 dependency it may function as a ledger boundary / cumulative-cube endpoint. These are coordinated but non-identical node-classes.

Machine Guard [CREATION-HEAD TRIAD CONDITION]: The 400/700/1000 Creation-head triad is arithmetically verified and dependency-controlled. File_44 may preserve and classify the triad, but it does not introduce or independently authorize 5556 BC, 5256 BC, 5956 BC, or 4556 BC as new anchors.

D.15.3 Cross-file routing

• Use File_32 / File_33 for Prime–Civil / Polarity Namespace, P2 rails-space, P2 signed A-space, Coordinate Mirror / Protocol 1, and civil cross-axis arithmetic.
• Use File_42 as geometry-first source-history support for the P2 dual-operator split, Key-of-23 expansion background, MirrorVolume, and Seal700.
• Use File_43 for LukeIntervals, MattSpan_BirthHinge, MattSpan_Carrier, MirrorVolume, Seal700, P2 non-straddling, and genealogy-node proof burden.
• Use File_14 for the LXX Maximum 5556 BC Year-6 / Adam-state display boundary.
• Use File_54 for Luke Shadow Creation / Rounded Scaffold comparison controls where 5256 BC appears in rounded or comparative context.
• Use File_15 for authorized 40 / 70 / 100 generational-unit state; File_44 display motifs do not independently authorize those units as locks.
• Use File_17 and File_22 for exact-ratio grammar and cumulative MT harmonic-scalar controls where 12558, 12600, 12740, and 490 are opened.
• Use File_51a for Rounded Scaffold non-retrojection and rounded visibility motifs such as 18200 = 50 × 364.
• Use File_45 only as the downstream exact-sweep file. File_45 may cite File_44 for scaling-law controls, but File_44 does not import File_45 statistics.

D.15.4 Pointer note

Final post-final pressure-tested File_44 and File_44_Public_Clean_v1_0.md remain the controlling sources for complete equations, body sections, state transitions, audit notes, pressure-test status, and publication-clean source text. This Register entry supplies retrieval vocabulary, operator routing, state boundaries, and File_44 Machine Guards. No arithmetic value, anchor, active modal-state logic, node-class, sign convention, operator, Mirror protocol, theological claim, or dependency boundary is changed by this registration. The Repository_Change_Archive update remains pending until the current Archive source is supplied or explicitly authorized.

D.16 File_50a Compact Convention Entry — Prime Quadruplet Naturalized Master Table

Registered June 27 2026 as a bounded File_50 public-clean control-registration follow-up. Source file: File_50a_50b_Public_Clean_v1_1_Control_Registered.md, Part A, preserving File_50a Final summary / source-pointer content and the full P1–P100 Naturalized Master Table.

Register-scope note: This entry registers File_50a-specific modal-state vocabulary, operator routing, and Machine Guards for direct AI retrieval. It does not re-run the File_50a table, revise File_50c's Bipartite Grid Landing operator, change File_32 / File_33 prime-polarity outputs, or promote File_50a civil outputs into independent chronological anchors.

D.16.1 Registered File_50a state labels

D.16.2 File_50a operator controls

The reusable File_50a operator set is:

$P_{nat}=P-11.$

$V=round(P_{nat}/90)\times90.$

$Civil=V+6.$

$D=P_{nat}-V.$

For ordinary File_50a rows after P1, the Diff state is:

D ∈ {0, +30, −30}

P1 remains outside the ordinary operator path. P2 is the naturalization-zero / Grid Origin state.

D.16.3 File_50a Machine Guards

Machine Guard [FILE_50A DATA-LAYER BOUNDARY]: File_50a is the geometric data and input-table layer for the File_50 branch. Do not treat File_50a civil displays as independent repository anchors unless a controlling chronology file or downstream File_50 operator explicitly opens that coordinate as a target state.

Machine Guard [FILE_50A P1 BYPASS]: P1 returns the exceptional Civil Datum AD 1. Do not execute P1 through P_nat, Base-90 rounding, ordinary Diff-state classification, or File_50c Bipartite Grid Landing.

Machine Guard [FILE_50A P2 GRID ORIGIN]: P2 with P = 11 and P_nat = 0 is the File_50a Grid Origin. Do not collapse this state with File_32 / File_33 P2 positive rails-window 6 BC / 36 BC, P2 negative-polarity / signed A-space bridge 6 BC / AD 25, or Coordinate Mirror unless the local file explicitly opens that separate dependency.

Machine Guard [FILE_50A DIFF STATE NON-COLLAPSE]: The Diff values 0, +30, and −30 are File_50a gear-selector states. Do not convert them into arbitrary rounding tolerance, File_34 +30 Apparent Mode, File_51a +30 Apparent Age, or a generic chronological correction.

Machine Guard [FILE_50A PRIME-POLARITY FIREWALL]: File_50a Naturalized Grid outputs are not File_32 / File_33 positive-polarity date outputs, negative-polarity / signed A-space outputs, prime-space cross-polarity, rails-space B/M, or Coordinate Mirror. A shared prime index such as P23 does not create coordinate identity.

Machine Guard [FILE_50A FILE_50C HANDOFF]: Use File_50c and Register §D.10 for Bipartite Grid Landing, exact-strike signed tri-position, target-hit multiplicity, coordinate-family compression, corrected 72 / 28 / 16 scan state, and nearest-720 half-step tie handling. File_50a supplies the input table and operators only.

Machine Guard [FILE_50A SCALE-READING CLAIM-STATUS]: Civil, Sumerian-360, and Cosmic-25920 scale readings in File_50a are structural inference or typological / providential interpretation unless the local file supplies an executable operator and dependency path. They do not establish demonstrated causation, formal probability, or direct ancient authorial intent by themselves.

Machine Guard [FILE_50A RAW-SOURCE POINTER]: The public-clean combined File_50a_50b source carries the full Naturalized Master Table and repository-side controls. Remaining raw apparatus and raw rewrite issues stay source-pointer / audit-controlled and must not be silently resolved in the Register.

D.16.4 Cross-file routing

• Use File_50a / Register §D.16 for the P1–P100 Naturalized Master Table, P_nat, Base-90 grid V / V_90, Civil clutch, Diff states, P2 Grid Origin, P1 bypass, and File_50a scale-reading vocabulary.
• Use File_50b for interpretive synthesis of File_50a outputs. File_50b still has no separate Part D entry unless a later pass requires direct retrieval of its synthesis vocabulary.
• Use File_50c / Register §D.10 for Bipartite Grid Landing, exact-strike execution, target intersections, coordinate-family compression, corrected scan totals, and File_50c Machine Guards.
• Use File_32 / File_33 for Prime–Civil / polarity namespace controls. File_50a naturalization does not replace positive- or negative-polarity prime-date outputs.
• Use File_21 and File_34 for SKL / Berossus derivation, SKL Short / Long states, +2 / +720 firewalls, and deep-time source-control where those states are opened.

D.16.5 Pointer note

File_50a_50b_Public_Clean_v1_1_Control_Registered.md, Part A, remains the controlling public-clean source for File_50a table content, source-pointer boundaries, audit notes, and local claim-status controls. This Register entry supplies compact retrieval vocabulary and Machine Guards only. No arithmetic value, table value, anchor, active modal-state logic, node-class, sign convention, operator, Mirror protocol, theological claim, or dependency boundary is changed by this registration. The Repository_Change_Archive update remains pending until the current Archive source is supplied or explicitly authorized.

D.17 File_56 Convention Entry — Creation Decade Protocol / SP Enochian Day-4 Phase-Anchor

Registered July 2 2026 at File_56 author-invoked Finalization, by author direction, from the Creation-decade discussion record. Source file: File_56_Creation_Decade_Protocol_SP_Enochian_Day4_Phase_Anchor.md (Final; Finalization July 2 2026; full pressure test scheduled by author).

Register-scope note: This entry registers File_56-specific modal-state vocabulary, operator routing, and Machine Guards for direct AI retrieval, and records the author-directed cross-file amendments routed to File_07 §1, File_18 §6C.1, and the File_12 bibliography vector. It does not re-run the File_18 cumulative tables, does not alter the File_11 §9 Watcher Bridge, and does not promote File_56 decade-boundary labels into repository endpoint anchors.

D.17.1 Registered File_56 state labels

D.17.2 File_56 operator controls

The decade boundary ladder for a tradition with Day-1 start boundary S:

Day n start = S − (n − 1)
Day n end = S − n

The Day-1 ↔ Day-4 phase shift is +3 whole years at the boundary register. It is a distinct node-class from the File_12 3.5-day liturgical straddle.

D.17.3 File_56 Machine Guards

Machine Guard [SP DAY-4 PHASE-ANCHOR SCOPE]: Cumulative-only. SP regular chronology remains Day-1 anchored (4206–4199 BC; Year-7 completion 4199 BC); the Toggle ON inclusive-reckoning operator remains distinct and orthogonal.

Machine Guard [DECADE ENVELOPE NON-REPLACEMENT]: Decade envelopes coexist with, and do not overwrite, the canonical 7-year envelopes of File_18 §§6B–6D. The default Day-1 / Year-7 reading remains active wherever the phase-anchor state is not named.

Machine Guard [AARON-MEMBER ADAM SELECTION]: The +3 phase shift and the Aaron/Moses gap 3 coincide; the coincidence is corroborating structure, not identity. Do not derive one from the other; do not migrate the Adam / sixth-day label from 13401 BC to 13398 BC under the phase state.

Machine Guard [PHASE-SHIFT / STRADDLE FIREWALL]: The 3-year phase shift (whole-year boundary register) and the 3.5-day liturgical straddle (File_12 sub-day register) are distinct node-classes. DecSpread 10.5 = 3.5 + 7 relates them without merging them.

Machine Guard [TRACK A 1411 PROTECTION]: The MT Day-10 register (14001 BC; derived label 1401 BC) must not substitute into the File_06 Track A lock; the protected target remains 1411 BC with 14011 − 1411 = 12600.

Machine Guard [CUMULATIVE CAINAN +460 RAIL]: Cumulative Cainan restoration uses the 460 lifespan insertion only; never +130 on the cumulative rail.

Machine Guard [KINGS TEMPLE ANCHOR CONTROL]: 966 BC and 516 BC remain File_08 Kings-controlled anchors; the 10x Daniel spans are providential synchronization, not derivations of those dates.

Machine Guard [RESIDUE THEME RESTRAINT]: The 40 / 42 / 45 residues are 300/299 conversion gains with typological labels; they are not added historical years.

Machine Guard [12000 TRANSPOSITION OPERATOR]: 13406 − 12000 = 1406 is same-side BC subtraction; do not restate as a Mirror protocol.

Machine Guard [MIRROR-TEST BOUNDARY]: The File_56 §6A Mirror landing runs under BC + AD − 1 with same-suffix pairing (13406n → AD 1407n; 13407t → AD 1406t); the unpaired 13406 + 1406 − 1 = 14811 does not check. Do not collapse the Mirror landing with the same-side 12000 transposition. AD 1406 / AD 1407 are Mirror display labels, not repository endpoint anchors.

Machine Guard [300/299 HARMONIC SOLAR INSTRUMENT]: 300/299 is the harmonic Enochian / solar conversion instrument, not exact solar equivalence (364 × 300/299 = 365.2174 against solar display 365.24). Residue-field meaning is deferred by author direction.

Machine Guard [12600 DUAL-CONVERGENCE BOUNDARY]: The 12600 convergence belongs to MT and SP restored-Cainan only; the LXX is excluded and must not be forced onto that constant.

Machine Guard [TIER FIREWALL]: Tier-1 presuppositional and Tier-2 historical claims motivate but do not carry the Tier-3 arithmetic; the phase-anchor state stands on the arithmetic alone.

Machine Guard [FILE_11 BRIDGE PRESERVATION]: The File_11 §9 Watcher Bridge is unchanged; the Moses member 13398 BC remains its input.

D.17.4 Cross-file routing and routed amendments

• Use File_56 / Register §D.17 for the Creation decade ladder, tradition decade tables, Aaron-member Adam selection, 299 Solar Ladder, 12000 transposition, restored-Cainan decade states, segment-marking pattern, and tier firewall.
• File_07 §1 carries the author-directed SP Day-4 exception amendment to the Day-7 endpoint axiom (July 2 2026; pressure test pending).
• File_18 §6C.1 carries the author-directed SP Day-4 phase-anchor display amendment (July 2 2026; pressure test pending); the §6C default table is unchanged.
• File_12 bibliography vector carries the Jaubert addition and divided-witness note (July 2 2026; pressure test pending); File_12 vectors, straddle, and source-control map are unchanged.
• Use File_11 §9, File_20 §§6H / 11, File_53 §§17–24, File_06 §7, File_33, File_25, and File_08 as unchanged dependencies per the File_56 cross-reference index.

D.17.5 Pointer note

File_56 (Final) is the controlling source for its own states; this Register entry supplies compact retrieval vocabulary, Machine Guards, and the routed-amendment record. No pre-existing arithmetic value, table value, anchor, modal-state logic, node-class, sign convention, operator, Mirror protocol, theological claim, or dependency boundary is changed by this registration. The Repository_Change_Archive update remains pending until the current Archive source is supplied or explicitly authorized.

D.18 Regular / Cumulative Page-Publication Convention Entry — July 2026 Bounded Pass

Scope: registers the state vocabulary, conventions, and guards created by the July 2026 Regular / Cumulative chronology-page rewrites and the sixteen-file bounded corpus pass (Files 01, 03, 07, 13, 14, 16, 17, 18, 20, 22, 44, 46, 51a, 51b, 53, 56). Vocabulary registration only; the controlling files hold the derivations.

D.18.1 Terminology deprecation

"Long" / "Short" are vestigial synonyms for Cumulative / Regular. Retained only as legacy URL tokens and as one-time page alias clauses; not for corpus or heading use. Collision guard: external text-critical literature uses "long / short chronology" for the LXX-versus-MT begetting-figure distinction — a different axis; do not import that sense.

D.18.2 Registered states, by controlling file

D.18.3 Guards registered

• Non-propagation: the Lamech 777 overlay is row-local, confined by the LXX Exodus lock 14901 − 1446 = 13455 = 299 × 45 (File_56 dependency).
• Non-collapse set: File_46 §5 lattice-local Cainan non-lock versus deep-time +460; 6624 two-forms (File_51b §7 partition remainder versus File_46 Appendix A overlay span (routed through §6A)); 8600 two-forms (span 2 × 4300 versus precessional season 120 × 71⅔); 14036 / 14041 / 14046; 2700 / 2730 day-scale versus year-scale; BJ AD 30 frame versus SOR rod termini; P2 / AD 25 non-chaining (File_44); shared year-labels 1876 (four events), 1846, 1906, 1656 (three kinds), 3856, 4026, 3896, 4116, 1871.
• The File_13 §0.4 straddling prohibitions are expressly unaffected.

D.18.4 Supersessions (author-ruled; non-silent-repair)

1. Historical July ruling: regular LXX 777 was admitted while cumulative 753 remained fixed. This Lamech-specific hierarchy is now superseded by September 8 §D.43: main 182/753 in both methods; LXX 777 appendix-only.
2. File_18 item 11, §4.1, §4A, and related guards now follow §D.43. The historical ruling is preserved in the frozen prior edition, not applied concurrently.
3. File_20 informal SOR "−215-sub-variant" framing — superseded by the MT-sub-variant reclassification (−220 = −(215 + 5)).

D.18.5 Principle candidate (pending)

Explicit-versus-inferred node principle — inferred figures (the +30 apparent age; 1441 BC) admitted where the text's own devices warrant the selection and independently dated texts exhibit the same signature; deliberate scribal economy leaves secondary nodes unstated. Routed to File_15 / Style Guide commentary (File_22 Recommended 0A); registered here as pending, not active.

D.18.6 Routing

Use the controlling files and sections of §D.18.2 for all derivations. Repository_Change_Archive insert-block issued with this pass; Restart Capsule v11.18 pending as the pass's final step.

D.19 Ezekiel Endpoint / Intercalation-Cycle Convention Entry — July 2026

Scope: registers the vocabulary of the deferred-item-6 resolution and the 360-day intercalation cycle. Controlling files hold the derivations.

D.19.1 Registered states, by controlling file

D.19.2 Guards

Julian-mean equivalence versus the File_09 Julian Jan-1 phase-coordinate proof — distinct objects sharing a word; do not collapse. The 2730 dual reading (leap-month form 2700 + 30; Enochian-register form 7.5 × 364) — no collapse. Any leap-month instance declares its placement (a longer window may cross one or two cycle-ends). File_13 §0.4 straddling prohibitions unaffected.

D.19.3 Claim-splits

The intercalation scheme: author-declared system / structural inference (reconstructed, not text-stated; witnessed by its forced structure and Julian-mean landing). The intended-option reading of Ezekiel: historical-critical inference. The SP year-mirror: structural inference / providential synchronization. The day-for-year license: textual datum (Ezek. 4:6). The siege-duration 2.5 years: author ruling / historical-critical inference.

D.19.4 Open-item ledger

File_17 §13A.8 — closed (endpoint derived, July 2026). No new open items.

D.20 File_20 Isaac Conception / Birth and Key-of-23 Bookend Convention Entry — July 2026

Scope: registers the vocabulary of the File_20 §7A.10 / §8A bounded updates from the July 2026 1876 BC Nexus discussion record. The controlling file holds the derivations.

D.20.1 Registered states, by controlling file

D.20.2 Guards

• Machine Guard [ATTESTED-DATE NON-REHABILITATION] (File_20): attested post-Abraham jubilee timestamps remain rejected as chronology (§7A2.7); §8A uses AM 1986/1987 only as holographic / architectural data (§7A2.6); the blueprint pair AM 1975/1976 = 1882/1881 BC remains the accepted-frame member.
• Shared-label guards: 1871 BC — attested-conception conversion; MT-frame famine end; File_51b rounded-nexus member — distinct states. 1526 BC — regular Moses birth (1446 + 80); File_51b rounded pair member 1531/1526 BC — distinct states. AM 1981 versus 1981 BC — ordinal-cardinal firewall.
• Non-collapse: the §8A corruption-symmetry member is holographic corroboration, not a fifth Category A road; the File_16 Bullseye Protocol inventory is unchanged. The File_14 gestation axiom pair 270/280 remains normative; 273 is the 364-frame member, not a correction.

D.20.3 Claim-splits

Festival micro-calendar and Jubilees citations: textual datum. Centering identities, splits, conversions, tiling, and gestation / Sukkot sums: arithmetic fact. Nexus-centering, axis-swap, confession reading, and bookend architecture: structural inference / providential synchronization. Same-day-number mid-month reading (day 15 → day 15): structural inference; the 273 day-count is arithmetic fact once that reading is fixed. Authorial aim of the +11 displacement (Key-of-23 landings; any 430-accommodation): historical-critical inference, speculative — §7A2.4 seventy-cycle forcing remains the controlling causal account. Idolatry-pole framing: typological reading.

D.20.4 Routing

File_20 (§7A.10 / §8A bounded updates, July 2026) controls the Jubilees derivations. The File_16 §2A one-line pointer is recorded as File_20 Recommended Cross-File Update 19; the File_14 non-collision confirmation as item 21. Recommended Cross-File Update 22 is completed by Final File_58, which controls the Numbers 28–29 Tabernacles-ledger corpus; the presentation-layer URL recorded in File_20 §8A.5 remains non-controlling.

D.21 File_57 Convention Entry — Biblical List–Chronology Template

Registered July 11 2026 at author-invoked File_57 Finalization and confirmed through the immediate post-final pressure test. Source file: File_57.Biblical_List_Chronology_Template.md (Final; post-final pressure tested July 11 2026).

Register-scope note: This entry registers File_57-specific list-ledger vocabulary, count-to-chronology routing, claim-status boundaries, and Machine Guards. It does not declare every biblical list a cipher, does not convert printed-number totals into ordinary headcounts, does not collapse biblical chronology with SKL / Berossus, and does not promote File_57's derived comparison coordinates to repository endpoint anchors.

D.21.1 Registered File_57 state labels

D.21.2 File_57 operator controls

D.21.3 File_57 Machine Guards

Machine Guard [SELECTED LISTS ONLY]: Do not infer that every biblical list is a chronology cipher. File_57 applies only to bounded lists satisfying its selection criteria.

Machine Guard [LEDGER STATE NON-COLLAPSE]: Personnel totals, printed-number totals, key-withheld totals, and reconciled totals are distinct states. Do not collapse 217100, 217122, 220800, and 220822.

Machine Guard [JEHOIADA INCLUSION UNRESOLVED]: Do not silently decide whether Jehoiada's 3700 is included in or additional to Levi's 4600.

Machine Guard [ZADOK KEY NON-ADDITION]: Zadok plus 22 primarily defines operative 23; ordinary personnel addition is secondary and must be labeled.

Machine Guard [OPERATOR PREDECLARATION]: Declare list boundary, ledger, anchor, direction, scale, and operator before calculation.

Machine Guard [SOURCE ORDER / CATEGORY ORDER NON-COLLAPSE]: Preserve source order and declared category order as simultaneous states; do not present a regrouped sequence as the printed order.

Machine Guard [DISPLAYED NUMERAL SUFFICIENCY]: Count only supplied numerals in a symbolic printed-number ledger; do not guess unnumbered quantities.

Machine Guard [CATEGORY ORDER LOCAL PROOF]: The method is general in hypothesis but local in proof; every list must independently declare boundary, categories, sort keys, coverage, operator, and null tests.

Machine Guard [FILE_57 / FILE_58 CORPUS ROUTING]: File_57 controls the general method and compact precedent; File_58 controls the full Numbers 28–29 and Genesis application corpus.

Machine Guard [AUTHORIAL / PROVIDENTIAL FIREWALL]: Remote alignments do not prove ancient authorial knowledge; use historical-critical or providential classification as warranted.

Machine Guard [18200 NODE-CLASS NON-COLLAPSE]: File_57's list-derived 18200 and File_44's rounded/display-only 18200 motif share arithmetic but not node-class or operator.

Machine Guard [240486 SHARED-LABEL NON-COLLAPSE]: File_57's derived 240486 BC and File_21's Alalngar maximum-state coordinate remain distinct states.

Machine Guard [FILE MAP RESTRAINT]: The File map is a compact retrieval aid, not a duplicate prose summary.

Machine Guard [NO PARTIAL-HIT PROOF]: A proposed list cipher must account for awkward and non-obvious figures; one attractive subtotal is insufficient.

Machine Guard [KEY-OF-23 WHOLE-NUMBER STATE]: File_57's 25/23 calculations are ordinary exact transforms; do not import Residue or Mirror protocols without declaration.

Machine Guard [ISSACHARITE COTERIE CLAIM RESTRAINT]: An Issachar-associated specialist circle is a historical-critical hypothesis, not a textual datum or proven institution.

Machine Guard [ISSACHAR GRAND-TOTAL NON-COLLAPSE]: 87000 is the public encompassing personnel total; 145600 is an overlapping printed-number ledger only.

Machine Guard [REMOTE PROJECTION NON-SUBSTITUTION]: Deep-time projections corroborate but do not replace local list arithmetic or historical chronology.

Machine Guard [MESSIANIC ENDPOINT RESTRAINT]: The triple-480 rail is arithmetic fact; deliberate Chronicler prediction of 6 BC is not established.

Machine Guard [SKL / BEROSSUS NON-IDENTITY]: Arithmetic comparison does not collapse biblical, SKL, and Berossus source states or prove direct literary dependence.

Machine Guard [QUARTER-CONTRACTION DECLARATION]: The 60000 backward arm is a declared ÷4 comparison state, not the unmodified western total.

Machine Guard [BIDIRECTIONAL DISPLAY NON-MIRROR]: The 666 × 360 display is a bidirectional count-to-chronology comparison, not automatically Protocol 1, Protocol 2, inverse architecture, or formal Mirror.

D.21.4 Claim-status and cross-file routing

• Use File_57 §§1–9 for the local selected-list proof: ledger separation, Levi / Zadok, Issachar 200, 360/364, Temple 460/480, national thirds, First Chronicles 7, and later Chronicles rosters.
• Use File_57 §§10–11 for declared count-to-chronology and SKL / Berossus comparison states; these sections are secondary to the local proof.
• Use File_00 for Count-to-Chronology and arithmetic firewalls; File_12 for 336/360/364; File_17 for 25/23, 70/69, 2300, 430/460/480/490; File_20 / File_53 for Jubilees 22; File_29 for 7/13; File_34 for 486 BC and hybrid SKL / Berossus derivation; File_55 for thirds.
• File_20 Recommended Cross-File Update 22 is fulfilled by Final File_58. File_57 §3 remains the compact methodological precedent; detailed derivations and chronology applications route to File_58.
• Recommended pointers in Files 08, 12, 13, 19, 21, 29, 34, 53, and 55 remain bounded follow-up items, not File_57 publication blockers.

D.21.5 Pointer note

File_57 (Final; post-final pressure tested, with bounded File_58 and File_59 routing updates focused pressure tested) controls its selected-list states, Davidic-census arithmetic ledgers, claim hierarchy, and general method. File_58 controls the full Numbers 28–29 / Genesis application corpus. File_59 controls the full Numbers 1 / Numbers 26 military-census, Revelation, and SKL / Berossus matrix application. No File_57-derived or File_59 local derived coordinate is added to the Repository Primary anchors inventory.

D.22 File_58 Convention Entry — Numbers 28–29 Tishri Sacrificial Ledger

Registered July 12 2026 at author-invoked File_58 Finalization after Pass 2 verification. Source file: File_58.Numbers_28_29_Tishri_Sacrificial_Ledger.md (Final; post-final pressure tested July 12 2026).

Register-scope note: This entry registers File_58-specific sacrificial-ledger vocabulary, source-order / category-order methodology, Genesis narrative-list applications, calendar-state controls, manuscript-lane locality, appendix-only future-study states, Johannine dependency restraint, and fifty Machine Guards. It does not convert every animal or person count into years, does not collapse Priestly 336, Prophetic 360, and Enochian 364, does not promote appendix-only coordinates to Primary anchors, and does not treat the current Johannine proposal as a firm repository date-state.

D.22.1 Registered File_58 state labels

Modal-state rule: A shared number, date-label, animal, species, sex, category, or sequence does not create identity unless list boundary, ledger state, category partition, sequence operator, node-class, unit, and chronology operator agree.

D.22.2 File_58 operator controls