File: File_13 Title: Christological Matrix Status: Final; pressure tested; File_15 Generational Axiom cross-file update applied; File_19 applied-prophetic cross-file update applied; File_31 Passion-date clarification applied; File_43 final cross-file update applied Pressure-test status: Current; focused pressure test complete for later cross-file update labels in the Status field and public-clean cleanup. Register Agreement status: Checked against State_Vocabulary_Register v1.17 and active companion controls; convergence / pointer update only; no arithmetic, anchors, modal states, node-classes, operators, sign conventions, slash-pairs, ranges, envelopes, Mirror protocols, Machine Guards, claim-status labels, theological claims, or dependency boundaries changed. Publication-cleanup status: Public-clean Markdown source; archival amendment history routed to Repository_Change_Archive. Primary domain: Theological; Comparative; Calendar; Prophetic; Mirror Traditions: NT / Luke; NT / Matthew; NT / John; MT; LXX; SP; BJ / Jubilees by dependency Canonical source: Markdown Primary anchors: 5327t/5326n BC; 5321 BC; 5320t/5319n BC; 5436 BC; 4837t/4836n BC; 4830t/4829n BC; 2877t/2876n BC; 2870t/2869n BC; 2806 BC; 2801 BC; 5494 BC; 5496 BC; 5526 BC; 7t/6n BC; 1n BC; AD 1; AD 2; AD 27; AD 29t/30n; AD 30n; AD 33n/33t; AD 36t/37n; AD 64t/65n; AD 71t/72n; AD 70; AD 135–142 Related files: File_00; File_02; File_05; File_06; File_07; File_08; File_09; File_12; File_14; File_15; File_16; File_17; File_19; File_22; File_31; File_43; File_51a; File_54; Restart Capsule v11.15; 490d Repository Style Guide v2.5; Project Procedures v3.2; State Vocabulary Register v1.17 Major operators: 70-year generational carrier; LukeSpan; LukeIntervals; MattSpan_BirthHinge; MattSpan_Carrier; civil cross-axis span `BC + AD − 1`; same-side BC subtraction; phase-resolved paired Mirror suffix inversion; local covenant numeric-year Mirror label; File_15 ordered endpoint-pair display; generational LCM `LCM(40, 70, 100) = 1400`; `25/23`; `70/69`; `1260`; `1290`; `490`; `1470`; `2450`; `2800`; `2870`; `5320`; `5390`; `5520`; day-year projection; inclusive day-counting Major modal states: dual Christ anchor; Second Adam / Jan-1 covenant hinge; Luke God Week; cumulative MT Flood Week; Incarnation Week; Conquest / New Eden week; Matthew dual Abraham placement; File_15 Christological endpoint-pair dependency state; AD 33n preferred Passion state; AD 30n possible Passion state; AD 33t non-Passion completion member; AD 34 non-Passion purification display state; birth day-year purification state; LXX actual Creation endpoint state; Source Vault source-history state Revision basis: 490d Repository Style Guide v2.5; Restart Capsule v11.15; State Vocabulary Register v1.17; Project Procedures v3.2; prior finalized source; Repository_Change_Archive (non-controlling history) Current refresh note: Public-clean trust-status equalization aligns active control pointers to 490d Repository Style Guide v2.5, Restart Capsule v11.15, State_Vocabulary_Register v1.17, and Project Procedures v3.2. Register Agreement status is recorded in the header; no arithmetic, anchors, modal states, node-classes, operators, sign conventions, slash-pairs, ranges, envelopes, Mirror protocols, Machine Guards, claim-status labels, theological claims, or dependency boundaries are changed. Detailed pass logs, pressure-test records where applicable, pointer-refresh history, and replacement-workflow notes are preserved in Repository_Change_Archive. # File_13 — Christological Matrix ## Related Repository Files | File | Function for `File_13` | |---|---| | `File_00` | Foundation for Mirror / civil / inverse firewalling, calendar-state suffixes, structural variators, and Christological source-map discipline. | | `File_02` | Controls the cumulative MT Flood Week and AD judgment-week envelope where the Flood-to-Christ arc is opened. | | `File_05` | Controls Exodus anchors, subordinate Ramesside states, Exodus-to-Christ Priestly expansion, and AD 27 / AD 30 target distinctions. | | `File_06` | Controls Conquest process, land-rest envelope, Creation-week / Conquest-week straddle, and `1407t/1406n BC` / `1400t/1399n BC` phase handling by dependency. | | `File_07` | Controls Creation-week microstructure, Creation / Incarnation analogies, cumulative Creation Mirror of Conquest, and average-collapse / AD 30 and AD 70 addendum contexts. | | `File_08` | Depends on `File_13` for David / Adam / Christ typological comparison. | | `File_09` | Controls phase-resolved Mirror suffix inversion, paired-versus-single Mirror distinction, and January-centered `t/n` pair logic. | | `File_12` | Controls calendrical physics, Tishri / Nisan phase language, Solar/Lunar Straddle, and day-year calendar dependencies. | | `File_14` | Dependency for gestation, purification, and Nativity structures where opened. | | `File_15` | Uses `File_13` for the Christological / civil cross-axis side of the `1406–1399 BC → 6 BC–AD 2` ordered endpoint-pair display, especially `6 BC`, AD 2, dual Christ anchors, and civil cross-axis span control. | | `File_16` | Controls Christological brackets, `1260` / `1290`, AD 25 / AD 30 display fields, and `1876 BC` Nexus dependencies. | | `File_17` | Controls prophetic span-component anatomy, Daniel 9, `1260`, `1290`, `490`, `1470`, `25/23`, `70/69`, and purification-extension terminology. | | `File_19` | Applied Hezekiah Prophetic Complex dependency for the `AD 60` horizon of `2091 BC → AD 60 = 2150 = 10 × 215 = 5 × 430`, while File_13 remains the Christological date-state controller for AD 1, AD 30, AD 35, and AD 60. | | `File_22` | Controls the `2521 BC` cumulative bridge and Jacobean / Priestly expansion dependencies where the bridge is cited. | | `File_31` | Cites `File_13` for AD 33 / AD 30 Passion-date vocabulary and non-Passion display-state boundaries. `File_13` controls the correction: `AD 33n` is preferred; `AD 30n` is possible; `AD 33t` is a Tishri-side completion member only; AD 34 is a completed-period purification display only. | | `File_43` | Controls Luke / Matthew genealogical bridge terminology: LukeSpan, LukeIntervals, MattSpan_BirthHinge, MattSpan_Carrier, Matthew head bracket, Jubilee bridge, MirrorVolume, and double-generational knot. | | `File_51a` | Controls Rounded Scaffold, actual / rounded firewall, +30 Apparent Age state, LXX rounded state, and state-register style. | | `File_54` | Controls Luke/Rounded/BJ comparative context, AD 65 / AD 35 / AD 33 distinction, Mirror role classification, and claim-status restraint. | ## 0. File-function `File_13` records the Christological Matrix: the set of Christ-centered joints where genealogical, Creation-week, Flood-week, Conquest, Incarnation, Passion, Temple, LXX, and Mirror structures touch one another. The file is not a replacement for `File_54`. `File_54` controls the Luke / Rounded / BJ comparative synthesis. `File_13` preserves the Christological details that are either only briefly present in `File_54` or not materially developed there. File_15 cross-file dependency note: `File_15` cites `File_13` as the Christological / civil cross-axis controller for the `6 BC–AD 2` side of the `1406–1399 BC → 6 BC–AD 2` ordered endpoint-pair display. This reciprocal note does not import `File_15`'s full generational axiom into `File_13`; it only records dependency direction. File_19 cross-file dependency note: `File_19` cites `File_13` as the active Christological date-state controller for New Testament date vocabulary. In return, `File_13` registers `File_19` as an applied prophetic expansion, especially for the `AD 60` horizon of the Abraham-to-Rome sequence: `2091 BC → AD 60 = 2150 = 10 × 215 = 5 × 430`. This reciprocal note does not import the full File_19 Dial of Ahaz or `185000` argument into `File_13`. File_31 cross-file dependency note: `File_31` cites `File_13` for AD 33 / AD 30 Passion-date vocabulary and non-Passion display-state boundaries. `File_13` is the controlling file for this vocabulary: `AD 33n` is 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, not a Tishri / Tabernacles crucifixion state; and AD 34 is a completed-period purification display only, not a Passion date. This reciprocal note does not import File_31's Rod of Enoch, Pi, or AD 33 solar-synchronization argument into File_13. Publication-cleanup note: This public-clean source preserves the Final and pressure-tested status and the File_15, File_19, File_31, and File_43 cross-file update labels in the header. Detailed pass notes, pressure-test records, finalization records, and completed cross-file update ledgers are archived rather than repeated in the public body. Modal-state rule: A shared date-label, span, suffix, slash-pair, theological phrase, or Mirror label does not create identity unless state, node-class, tradition, and operator agree. Argument-control rule: Arithmetic facts and textual / chronology data carry the base layer. Structural inferences explain how checked structures interlock. Theological, typological, Johannine, and source-history notes explain why a structure matters, but they do not replace arithmetic or dependency control. ## 0.1 Working state register The following states are active in `File_13`. They are simultaneous, non-competing states unless a local section explicitly narrows the working state. | State | Primary values / forms | Node-class / function | Handling in `File_13` | |---|---:|---|---| | File identity state | `File_13`; Christological Matrix | Christological joint file | Preserved. The file gathers cross-file Christological joints rather than proving one isolated chronology. | | Luke historical / pre-existent Son anchor | `6 BC`; `5326 BC`; `76 × 70 = 5320` | Luke historical birth-hinge; Son-of-God / pre-existent Christ state | Preserve as the historical / pre-existent New Creation anchor. Calculation retained: `6 + 5320 = 5326 BC`. | | Luke covenant / Second Adam anchor | `1n BC → AD 1n`; Jan 1, AD 1; `5321 BC`; AD 70 | naming / circumcision / Second Adam / Son-of-Man state | Preserve as distinct from the 6 BC anchor. Calculation retained: `1 BC + 5320 = 5321 BC`. Jan 1, AD 1 is the covenant datum inside the full Year-6 Incarnation block. | | Christological five-year translation | `6 BC → 1 BC`; AD 65 → AD 70 | paired terminal translation | Preserves the same 77-generation carrier under two Christological states. | | File_15 Christological endpoint-pair dependency state | `6 BC`; `AD 2`; `1406–1399 BC → 6 BC–AD 2` | Christological side of File_15 ordered endpoint-pair display | `File_13` controls the Christ-side anchors and civil cross-axis arithmetic. `File_06` controls the Conquest / land-rest side; `File_15` controls the generational LCM argument. | | Lukan full-generation state | `5390 = 77 × 70 = 110 × 49` | Luke / Jubilee lock | Preserve as the full Luke terminal field. File_54 controls the wider Luke/BJ argument. | | God-generation adjustment state | 77 names; 76 temporal generations | Luke name-count / generation-count distinction | Preserve the distinction: Luke lists 77 names from God to Christ, but removing “God” as a temporal generation leaves `76 × 70 = 5320`. | | Luke God Week phase-expanded state | `5327t/5326n BC → 5320t/5319n BC` | pre-Adamic / God-head week of years | Preserve as the full week-of-years expansion of Luke’s God head. It intersects the cumulative MT Flood Week 490 years later. | | Cumulative Shem / Noah Mirror state | `5436 BC ↔ AD 5436`; pivot display `536 BC/AD` | cumulative MT birth of Shem / death of Noah; Mirror coordinate-completion | Author-clarified node-class. `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 pivot display is now classified as a dual-side 4900-year display; promotion beyond display / coordinate-completion requires a dedicated Mirror-control dependency. | | Cumulative MT Flood Week | `4837t/4836n BC → 4830t/4829n BC`; source shorthand `4836–4829 BC` | cumulative Flood new-creation / judgment-reset week | Preserve as the cumulative Flood Week expanded into t/n form. File_02 controls the cumulative Flood Week and AD judgment-week envelope. | | Flood-to-Incarnation transfer | `4837t/4836n BC → 7t/6n BC = 4830`; `4830t/4829n BC → AD 1t/2n = 4830` | Danielic `4830 = 69 × 70` transfer | Preserve component-wise. Same-side BC spans use subtraction; cross-axis spans use `BC + AD − 1`. | | Incarnation / New Creation Week | `7t/6n BC → AD 1t/2n`; Nisan form `6n BC → AD 2n` | Christological New Creation week | Preserve. The Nisan form identifies Year 6 as `1n BC → AD 1n` and Year 7 / Rest as `AD 1n → AD 2n`. | | Creation-pattern Incarnation segmentation | `3 + 3 + 1` | forming / filling / rest state | Preserve as the Creation motif applied to the Incarnation Week. | | Flood-pattern Incarnation segmentation | `2 + 3 + 2` | cumulative Flood / judgment-reset state | Preserve as simultaneous with `3 + 3 + 1`, not as a correction of it. | | Herodian two-year edge | `2t/1n BC → AD 1t/2n` | final two-year edge inside the `2 + 3 + 2` pattern | Preserve as typological / textual support from the NT “two years old and under” datum. | | Conquest / New Eden phase-pair | `1407t/1406n BC → 1400t/1399n BC` | East-side / West-side Conquest and land-rest state | Preserve by `File_06` / `File_09` dependency. | | Flood / Conquest / Christ arc | `3430 + 1470 = 4900` | cumulative Flood to New Eden to AD judgment arc | Preserve. Flood to Conquest is `3430 = 7 × 490`; Conquest to Christ terminal is `1470 = 3 × 490`. | | Cut-short Christ-generation state | `7t/6n BC → AD 64t/65n = 70`; half at `AD 29t/30n` | Danielic / Isaiah 53 generation-cutting state | Preserve as the full 70-year Christ-generation start register. | | Rest-year Christ-generation state | `AD 1t/2n → AD 71t/72n = 70`; half at `AD 36t/37n` | naming / rest-year completion register | Preserve as the coordinated second 70-year generation state. | | Passion bracket within cut-short generation | `AD 29t/30n → AD 33n/33t → AD 36t/37n` | doubled Tishri/Nisan seven-year Passion / ministry bracket | Preserve. `AD 33n` is the preferred Friday Nisan `14/15` Passion state; `AD 33t` is the Tishri-side non-Passion completion member. | | `4830 / 4865 / 4900` Flood-Christ sequence | `4830 = 69 × 70`; `4865 = 4830 + 35`; `4900 = 70 × 70` | cumulative Flood to Christ midpoint and terminal sequence | Preserve as source-retained / author-clarified structure. Arithmetic checked locally and pressure-tested; no blocker identified. | | Matthew birth-hinge state | `40 × 70 = 2800`; `2806 BC`; `2801 BC` | Matthean Abraham-to-Christ birth / naming hinge | Preserve both forms: `6 BC + 2800 = 2806 BC`; `1 BC + 2800 = 2801 BC`. | | Matthew carrier state | `41 × 70 = 2870`; `2806 BC → AD 65`; `2801 BC → AD 70` | full Matthean carrier when Christ generation is included | Preserve as a carrier state distinct from the 40-generation birth-hinge state. | | Matthew exile-bearing Abraham head | `2876 BC`; phase-expanded `2877t/2876n BC → 2870t/2869n BC` | pre-Abrahamic / exile-bearing head bracket | Preserve as a Matthean head-envelope, not Abraham’s literal birth. | | Matthew no-overlap deferred terminal | `2806–2799 BC → AD 135–142`; `2940 = 6 × 490` | Roman-era / Bar-Kochba-era comparison state | Preserve as a comparison state only. It does not replace AD 65–72 or Passion / judgment states. | | Luke Adam / Matthew Abraham bridge | Luke Adam `5251n/5250n BC`; Matthew Abraham `2801n/2800n BC`; `2450 = 5 × 490`; `8050 = 7 × 1150` | Adam-Abraham Mirror / same-side bridge | Preserve the dual relation. Matthew runs forward Abraham to Christ; Luke runs backward Christ to Adam. | | Repository Mirror hinge | Dec 31, 1 BC → Jan 1, AD 1 | BC/AD axis; naming / circumcision hinge | Preserve as the covenant hinge. It is not ordinary elapsed-span arithmetic. | | Second-Adam / Jan-1 covenant numeric-year Mirror | `5321 BC ↔ AD 5321`; `2801 BC ↔ AD 2801` | local covenant numeric-year Mirror label | Preserve as local File_13 Mirror terminology tied to Jan 1, AD 1. | | Phase-resolved paired Mirror coordinate-completion | `Yt/(Y−1)n BC → AD (Y−1)t/Y n` | t/n suffix-inversion rule | Use when exact `.5` Tishri/Nisan phase-pairs are active. | | Civil cross-axis span state | `BC + AD − 1` | ordinary elapsed civil span | Active for all BC/AD span checks unless a named Mirror target-generation protocol is opened. | | AD 33n preferred Passion state | `AD 33n`; Friday; Nisan `14/15` | preferred Friday Nisan `14/15` Passion state | Preserve as the preferred Passion state. | | AD 33t completion member | `AD 33t` | Tishri-side completion member | Preserve as the Tishri-side completion member of the midpoint pair. It is not a second crucifixion date. | | AD 30n possible Passion state | `AD 30n`; Friday; Nisan `14/15` by dependency | possible Friday Nisan `14/15` Passion state | Preserve. AD 30n remains possible and structurally meaningful, especially in ministry-opening, Ramesside, and temple-body states. | | File_19 AD 60 applied-prophetic horizon | `2091 BC → AD 60 = 2150`; `2150 = 10 × 215 = 5 × 430` | Abraham-to-Rome / Acts horizon by dependency | `File_19` uses this horizon as part of the Hezekiah Prophetic Complex. `File_13` controls the Christological / NT date-state vocabulary but does not locally re-prove the File_19 Hezekiah argument. | | Nisan `14/15` Passion-calendar slash-pair | John: Nisan 14; Synoptics: Nisan 15 | Gospel calendar slash-pair | Preserve both as meaningful calendar states. | | Ezra 458 BC decree state | `458 BC → AD 26n = 483`; `458 BC → AD 29t = 486.5`; `458 BC → AD 33n = 490` | Daniel 9 decree row | Preserve as Daniel 9 / four-decree dependency. File_17 controls decree-state components. | | Johannine temple-body state | Nisan AD 30 temple saying; AD 33n Passion / resurrection; AD 70 temple destruction | temple-body scale state | Preserve as multi-scale Johannine state. | | Johannine Temple `46/50` state | John 2:20; John 8:57; `46 × 25/23 = 50` | Temple / Priestly expansion | Preserve as unique File_13 material. | | Exodus-Christ Priestly expansion | `1472 = 46 + 1380 + 46`; `1472 × 25/23 = 1600`; `1600 = 4 × 400` | Exodus / Temple / Christ expansion | Preserve with File_05 / File_17 dependency. Do not merge with File_54’s Luke/BJ `1470` state. | | Traditional birth datum | Dec 25, 1 BC | liturgical / traditional birth datum | Preserve as the datum used by the legacy source and article material. | | Day-year birth register | Dec 25, 1 BC = Day `-6`; symbolic `7 BC` | birth day-year conversion | Preserve. | | Eighth-day circumcision / naming state | Dec 25, 1 BC → Jan 1, AD 1; Day `-6` → Day `+1` | inclusive eighth-day covenant datum | Preserve. Seven full days after birth is the eighth day inclusively. | | Mary purification inclusive-count state | 40th day = 39 full days after birth; Day `-6 + 39 = 33` | purification / Passion day-year state | Preserve. This maps the traditional 40th-day purification to symbolic AD 33. | | AD 34 purification display state | Day `-6 + 40 = 34`; legacy table value AD 34 | completed-period / exclusive-end display | Preserve only as a display-state or legacy table value. It is not a Passion date. | | Birth-to-purification decomposition | `7 + 1 + 32 = 40`; shorthand `7 + 33 = 40th day` | inclusive / exclusive circumcision and purification structure | Preserve as day-year terminology. | | `460 × 25/23 = 500` purification overlap | `460 = 10 × 46`; `500 − 460 = 40` | Key-of-23 expansion / purification overlap | Preserve as Nativity / purification bridge. | | LXX actual Creation endpoint state | `5494 BC`; MT actual endpoint `4114 BC`; `5494 − 4114 = 1380` | LXX actual seven-day Creation endpoint | Preserve. File_13’s `5494 BC` is actual LXX Creation endpoint / seven-day state, not a File_54 rounded state. | | LXX actual Year-6 state | LXX `5496 BC`; MT `4116 BC`; `5496 − 4116 = 1380` | LXX Year-6 / Adam state | Preserve as point-to-point actual LXX / MT relation. It does not include `+60 Terah`. | | LXX Year-6 +30 Apparent Age state | LXX `5526 BC`; MT `4146 BC`; `5526 − 4146 = 1380` | actual Year-6 plus apparent-age overlay | Preserve as actual +30 state. Do not confuse with File_54 rounded states. | | LXX Second Adam 6000-year lock | `5494 BC → AD 27 = 5520`; `5520 × 25/23 = 6000` | LXX actual Creation endpoint to Christ ministry | Preserve as File_13 unique state. | | Christological expansion vector | `4114 BC → AD 27 = 4140`; `+60 → 4174 BC`; `+360 → 4474 BC` | MT / SP / prophetic expansion-vector state | Preserve as dependency-controlled. | | Cumulative bridge state | `2521 BC`; `1260 + 1260` to `1 BC`; `1290 + 1260` to AD 30 | cumulative / prophetic bridge to Christ | Preserve as dependency-controlled by File_22 and File_16. | | Source Vault state | legacy quotations and authorial formulations | source-history note | Preserve with claim-status control. Source Vault explains authorial interpretation; arithmetic remains checked separately. | ## 0.2 File map | Section | Function | Active state / operator | |---|---|---| | §0 | File-function, working states, File map, claim-status, terminology controls, Machine Guards, modal-state processing rules, node-class register, slash-pair / range register, Mirror protocol register, sign-convention register, arithmetic-control ledger, and argument-control ledger | file-level modal states; Arithmetic Pass controls; Argument Pass controls | | §1 | Luke and Matthew genealogical anchors | LukeSpan; MattSpan_BirthHinge; MattSpan_Carrier; dual Christ anchor | | §2 | Creation, Flood, Conquest, and Incarnation Weeks | `3 + 3 + 1`; `2 + 3 + 2`; cumulative MT Flood Week; Conquest / New Eden | | §3 | Luke God Week, cumulative Flood, and AD judgment-week envelope | `490 + 4900 = 5390`; local `7 + 70 = 77` envelope | | §4 | Matthew exile-bearing Abraham head and File_43 controls | `2806`; `2876`; `2940 = 6 × 490`; double-generational knot | | §5 | Mirror classifications and phase-pair rules | covenant numeric-year Mirror; phase-resolved paired Mirror; civil span `BC + AD − 1` | | §6 | Passion, ministry, Temple, and Gospel-calendar states | AD 30 / AD 33 parallax; Nisan `14/15`; AD 70 temple-body extension | | §7 | Birth day-year, circumcision, purification, and Nativity projection | Dec 25, 1 BC; Jan 1, AD 1; inclusive Day 40; AD 33 / AD 34 display distinction | | §8 | Johannine Temple harmonic and Exodus-Christ Priestly expansion | `46 × 25/23 = 50`; `1472 × 25/23 = 1600` | | §9 | Christological expansion vectors and cumulative bridge | `4114`; `4174`; `4474`; `2521`; `1260`; `1290` | | §10 | LXX Second Adam 6000-year lock | LXX actual `5494`; `5520 × 25/23 = 6000`; rounded-state firewall | | §11 | Source Vault and legacy evidence | source-history notes; authorial formulations | | §12 | Cross-reference index | dependency tracking | | Appendix A | Retained legacy schematic from original File_13 | source-retained outline | | Revision and archive note | Records public-clean archive routing and preservation controls | public-clean source | ## 0.3 Claim-status register | Label | Function in `File_13` | |---|---| | Textual datum | Direct biblical or source-text datum, such as Luke / Matthew / John / Daniel / Isaiah / Leviticus references. | | Source-retained chronology datum | Legacy File_13 or author-supplied chronology state preserved for later passes. | | Arithmetic fact | Direct calculation from stated constants under the named operator. Arithmetic Pass checked locally executable equations; the subsequent Pressure Test found no local arithmetic blocker. | | Structural inference | Pattern inferred from repeated state-controlled alignments. | | Typological note | Theological or literary correspondence between persons, events, or structures. | | Theological note | Theological meaning preserved without making theology carry the arithmetic burden. | | Johannine note | Johannine theological or calendar reading, especially temple-body, light, Nisan `14/15`, and “before Abraham” states. | | Source-history note | Legacy wording or article-derived explanation retained for traceability. | | Dependency note | Material retained because another file controls the full derivation. | | Audit note | Value, operator, or dependency requiring later review. | Argument-control note: The claim-status labels define evidential role, not truth-value hierarchy alone. Arithmetic facts and textual data carry the base computational layer. Structural inferences may support File_13 only where active state, node-class, tradition, and operator are explicit. Theological, typological, Johannine, and source-history notes explain why a structure matters; they do not replace arithmetic or dependency control. ## 0.4 Terminology controls | Legacy wording | Revised handling | |---|---| | Historical anchor | `6 BC` pre-existent Son / Son-of-God New Creation anchor. | | Covenant anchor | `1n BC → AD 1n` Second Adam / Son-of-Man covenant anchor. | | Mirror | Classify locally: covenant numeric-year Mirror, phase-resolved paired Mirror coordinate-completion, Mirror corroboration, Mirror appendix-only, Mirror source-label, or exploratory / dependency-controlled Mirror. | | Matthew span | Do not use bare. Specify `MattSpan_BirthHinge = 2800` or `MattSpan_Carrier = 2870`. | | Luke span | Specify `LukeSpan = 5320` or `LukeIntervals = 5250`. | | 30-year straddling | Disallowed as an operator. The `36 BC ↔ 6 BC` rail-window and `6 BC ↔ AD 25` A-space bridge must remain distinct. | | AD 33/34 | Replace with classified form: AD 33 = inclusive purification / Passion-center display; AD 34 = completed-period purification display state. | | LXX 5494 | LXX actual Creation endpoint / seven-day state. Not File_54’s LXX rounded state. | | Source Vault | Source-history note, not arithmetic proof. | ## 0.5 Machine Guards Machine Guard [FILE_13 FILE_15 ENDPOINT-PAIR BOUNDARY]: `File_15` may use `6 BC` and `AD 2` as the Christological side of the ordered endpoint-pair display `1406–1399 BC → 6 BC–AD 2`. `File_13` does not supply the Conquest / land-rest endpoints and does not itself prove the `File_15` generational LCM. Do not treat the bracket as an every-internal-cross-pair claim. Machine Guard [FILE_13 FILE_19 APPLIED-PROPHETIC HORIZON]: `File_19` may cite `File_13` for AD-side Christological and New Testament date-state vocabulary, especially `AD 60`. The File_19 Abraham-to-Rome line `2091 BC → AD 60 = 2150 = 10 × 215 = 5 × 430` is an applied prophetic expansion. It does not replace File_13's Luke, Matthew, Passion, Incarnation, or Temple-state controls. Machine Guard [FILE_13 DUAL CHRIST ANCHOR]: `6 BC` and `1n BC → AD 1n` are coordinated Christological anchors, not competing corrections. `6 BC` is the pre-existent Son / Son-of-God New Creation anchor. `1n BC → AD 1n` is the Second Adam / Son-of-Man covenant anchor, with Jan 1, AD 1 functioning as the naming and circumcision datum. Machine Guard [FILE_13 MIRROR CLASSIFICATION]: File_13 uses several Mirror states. They must be classified locally. `5321 BC ↔ AD 5321` and `2801 BC ↔ AD 2801` are local covenant numeric-year Mirror labels tied to the Jan 1, AD 1 naming / circumcision hinge. When exact Tishri/Nisan phase-pairs are opened, use the phase-resolved paired Mirror rule: ```markdown Yt/(Y−1)n BC → AD (Y−1)t/Y n ``` All civil cross-axis span checks still use: ```markdown BC + AD − 1 ``` Do not collapse covenant numeric-year Mirror labels, phase-resolved paired Mirror coordinate-completion, precise single-date Mirror nodes, Protocol 1 Mirror, inverse-number reversal, or ordinary civil span-counting. Machine Guard [FILE_13 LUKE GOD WEEK / FLOOD / JUDGMENT]: The phase-expanded Luke God Week is: ```markdown 5327t/5326n BC → 5320t/5319n BC ``` It intersects the cumulative MT Flood Week: ```markdown 4837t/4836n BC → 4830t/4829n BC ``` by exactly `490` years. The cumulative Flood Week then reaches the AD judgment-week envelope: ```markdown AD 64t/65n → AD 71t/72n ``` by exactly `4900` years. Therefore the full Luke God Week to AD judgment-week relation is: ```markdown 490 + 4900 = 5390 = 77 × 70 ``` Do not collapse this into a single unsuffixed date unless the local section explicitly narrows the state. Machine Guard [FILE_13 SHEM / NOAH MIRROR STATE]: `5436 BC ↔ AD 5436` is retained as the cumulative MT Shem / Noah Mirror 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 source pivot display `536 BC/AD` is retained. Arithmetic Pass classifies it as a dual-side 4900-year display, not as the civil midpoint of `5436 BC → AD 5436`. Machine Guard [FILE_13 FRACTAL 7 + 70 CHRIST GENERATION]: Each ordinary genealogical carrier remains `70` years. The local Christological envelope may display as `77` years only when the seven-year New Creation / Incarnation Week is articulated with the following 70-year generation: ```markdown 7t/6n BC → AD 1t/2n = 7 AD 1t/2n → AD 71t/72n = 70 7t/6n BC → AD 71t/72n = 77 ``` Do not redefine the genealogical carrier itself as 77 years. Machine Guard [FILE_13 MATTHEW DUAL ABRAHAM PLACEMENT]: Matthew preserves two coordinated Abraham placements: ```markdown 2806 BC = MattSpan_BirthHinge anchor, 40 × 70 = 2800 2876 BC = Matthean head bracket generated by the overlapped exile-bearing generation ``` Do not collapse `2806 BC` and `2876 BC`. Do not use the `2876 BC` head bracket as Abraham’s literal birth. It is the Matthean pre-Abrahamic / exile-bearing head-envelope. Machine Guard [FILE_13 AD 30 / AD 33 PASSION PARALLAX]: `AD 33n` is the preferred Friday Nisan `14/15` Passion state. `AD 30n` remains a possible Friday Nisan `14/15` Passion state and a structurally meaningful Passion-target state. It may function as the subordinate Ramesside Christ-death target, the Nisan-side ministry-opening member, and the Johannine temple-body signal state. Do not erase AD 30 because AD 33 is preferred. Do not use AD 30 to overwrite AD 33n as the preferred Passion state. Machine Guard [FILE_13 PASSION DATE STATES]: `AD 33n` is the preferred Friday Nisan `14/15` Passion state. `AD 30n` remains a possible Friday Nisan `14/15` Passion state and a structurally meaningful Passion-target state. `AD 33t` is the Tishri-side completion member of the AD 33 year-field. It is not a second crucifixion date and not a Tishri / Tabernacles crucifixion state. `Nisan 14/15` is a Passion-calendar slash-pair. Preserve both the Johannine Nisan 14 and Synoptic Nisan 15 states. `AD 34`, if retained in the birth day-year context, is a purification-end completed-period display state. It is not a Passion-date state. `AD 34/35`, if retained elsewhere, belongs to the post-Passion Acts expansion field, especially Stephen, Paul, and the Gentile mission movement. Machine Guard [FILE_13 DAY-YEAR BIRTH / PURIFICATION]: In the birth-of-Christ day-year state, Dec 25, 1 BC is Day `-6` and symbolic `7 BC`. The eighth-day circumcision is counted inclusively: ```markdown Day -6 → Day +1 = Jan 1, AD 1 ``` The purification is also traditionally counted inclusively: ```markdown Day -6 + 39 full days = Day 33 = AD 33 ``` `AD 33` is the symbolic purification / Passion-center display. `AD 34` is retained only as a completed-period / exclusive-end purification display state or legacy table value. It is not a Passion-date state. Machine Guard [FILE_13 LXX ACTUAL / ROUNDED FIREWALL]: `5494 BC` is the File_13 LXX actual Creation endpoint / seven-day Creation state. It stands 1380 years after MT actual Creation endpoint `4114 BC`. `5496 BC` is the corresponding LXX Year-6 state: ```markdown 5496 − 4116 = 1380 ``` `5526 BC` is the corresponding LXX Year-6 +30 Apparent Age state: ```markdown 5526 − 4146 = 1380 ``` These states do not include `+60 Terah`. Do not replace them with File_54’s rounded comparison states `5486 BC`, `5516 BC`, or `5556 BC`. Those states remain valid only when the Rounded Scaffold or Year-6 +60 comparison state is explicitly active. Machine Guard [FILE_13 T/N SUFFIX AND DISPLAY FIREWALL]: The suffixes `t` and `n` are calendar-state labels. They must not be stripped, reordered, or converted into an exact `.5` phase value unless the local section explicitly opens the phase-resolved operator. A paired form such as `7t/6n BC`, `AD 29t/30n`, or `AD 33n/33t` is not a decorative slash-pair. It identifies coordinated Tishri / Nisan state-members. Do not replace a paired state with an unsuffixed shorthand unless the local section explicitly narrows the display state. Machine Guard [FILE_13 DISPLAY LABEL / COMPUTATIONAL STATE]: Legacy display labels such as `AD 34`, `5436 BC ↔ AD 5436`, `536 BC/AD`, `2806 BC`, `2876 BC`, and `AD 135–142` must retain their node-class. A display label may be retained without being promoted to an executable computational state. If the operator is not open, classify the label as display-state, source-history, dependency-controlled, or audit-sensitive. Machine Guard [FILE_13 FILE_43 LOCKS]: `File_43` controls the Luke / Matthew bridge terminology used in `File_13`. Do not use bare “Luke span” or bare “Matthew span.” Use `LukeSpan`, `LukeIntervals`, `MattSpan_BirthHinge`, or `MattSpan_Carrier`. The `File_43` double-generational knot is compositional only. It cannot overwrite `LukeSpan`, `LukeIntervals`, `MattSpan_BirthHinge`, `MattSpan_Carrier`, `MirrorVolume`, expanded volume, or `Seal700`. The `36 BC ↔ 6 BC` rails-window and the `6 BC ↔ AD 25` A-space bridge remain separate operators. ## 0.6 Modal-state processing rules 1. `File_13` is a Christological joint file. Its states are simultaneous unless a local section explicitly narrows the working state. 2. A shared date-label, number, span, suffix, slash-pair, or theological phrase does not create identity unless state, node-class, tradition, and operator agree. 3. `6 BC`, `1n BC → AD 1n`, Jan 1, AD 1, `AD 33n`, `AD 33t`, AD 70, and `5494 BC` belong to different node-classes. Do not collapse them into one Christological anchor. 4. The `n` and `t` suffixes are calendar-state labels. They are retained even when the section does not execute exact half-year arithmetic. 5. Phase-resolved Tishri / Nisan paired states must be processed component-wise. Paired states are not averages, ranges, or generic alternatives. 6. The civil cross-axis operator remains `BC + AD − 1`. It is distinct from local covenant numeric-year Mirror labels, phase-resolved paired Mirror coordinate-completion, Protocol 1 Mirror target generation, 10x Mirror scaling, and inverse-number reversal. 7. Local covenant numeric-year Mirror labels such as `5321 BC ↔ AD 5321` and `2801 BC ↔ AD 2801` are valid File_13 labels tied to the Jan 1, AD 1 naming hinge. They are not ordinary elapsed civil-span calculations. 8. The File_09 phase-resolved paired Mirror rule is active only where the section opens exact Tishri / Nisan paired Mirror coordinate-completion: ```markdown Yt/(Y−1)n BC → AD (Y−1)t/Y n ``` 9. The File_43 bridge terms are locked. `LukeSpan`, `LukeIntervals`, `MattSpan_BirthHinge`, `MattSpan_Carrier`, `MirrorVolume`, expanded volume, and `Seal700` must remain distinct. 10. The `File_43` double-generational knot is a compositional display state only. It may justify overlap or literary framing, but it is not an arithmetic driver. 11. `AD 33n` is the preferred Friday Nisan `14/15` Passion state. `AD 30n` remains a possible Friday Nisan `14/15` Passion state and structurally meaningful target. `AD 33t` is the Tishri-side completion member, not a second crucifixion date and not a Tishri / Tabernacles crucifixion state. 12. `Nisan 14/15` is a Gospel-calendar slash-pair. It preserves the Johannine Nisan 14 and Synoptic Nisan 15 states. 13. `AD 34` in the birth day-year field is a purification-end completed-period display state. It is not a Passion-date state. 14. `AD 34/35`, where retained, belongs to the post-Passion Acts expansion field, not to the Passion-date field. 15. `5436 BC ↔ AD 5436` is now classified as the cumulative MT Shem / Noah Mirror state. The `536 BC/AD` pivot display is classified as a dual-side 4900-year display, not an ordinary civil midpoint. If later promoted beyond display / coordinate-completion, a dedicated Mirror-control dependency must define the protocol. 16. `5494 BC`, `5496 BC`, and `5526 BC` are LXX actual states. They must not be replaced by File_54 rounded states `5486 BC`, `5516 BC`, or `5556 BC`. 17. Source Vault and article-derived Nativity material are source-history controls. They may explain why a state is preserved; they do not replace arithmetic or dependency controls. 18. Arithmetic-control result: locally executable arithmetic and factorization claims were checked under the stated operators. Final and pressure-tested status is preserved in the header; detailed pass and pressure-test records are archived rather than repeated in the public body. ## 0.7 Node-class and display-state register | Date / value / display | Node-class | Active state | Do not collapse with | |---|---|---|---| | `6 BC` | historical birth hinge / pre-existent Son anchor | Luke historical / Son-of-God New Creation state | `1n BC → AD 1n`; Jan 1, AD 1; `7t/6n BC` phase-expanded week | | `7t/6n BC` | phase-expanded Incarnation Week opening | Tishri/Nisan Incarnation / New Creation state | unsuffixed `6 BC`; ordinary single-date birth hinge | | `1n BC → AD 1n` | full Year-6 Incarnation block | Second Adam / Son-of-Man covenant state | ordinary elapsed endpoint; AD 1 year label alone | | Jan 1, AD 1 | naming / circumcision datum | repository Mirror hinge / local covenant hinge | AD 1 as a generic chronological year; ordinary civil-span endpoint | | `5326 BC` | LukeSpan head from 6 BC | Luke historical / pre-existent Son head | `5321 BC`; `5327t/5326n BC` week-opening display | | `5321 BC` | Luke covenant head from 1 BC | Second Adam / Jan-1 covenant numeric-year Mirror state | `5326 BC`; ordinary elapsed civil-span endpoint | | `5327t/5326n BC → 5320t/5319n BC` | phase-expanded Luke God Week | pre-Adamic / God-head week of years | single `5326 BC` head label; LukeIntervals `5250` state | | `5436 BC` | cumulative MT birth of Shem / death of Noah field | cumulative MT Shem / Noah Mirror state | regular Shem birth / death states; `4836–4829 BC` Flood Week | | `5436 BC ↔ AD 5436` | Mirror display label | cumulative MT Shem / Noah Mirror coordinate-completion | ordinary civil span unless operator is stated; Protocol 1 unless locally opened | | `536 BC/AD` | pivot display | Shem / Noah Mirror pivot display | executable arithmetic until operator is stated | | `4837t/4836n BC → 4830t/4829n BC` | phase-expanded cumulative Flood Week | cumulative MT Flood / judgment-reset week | source shorthand `4836–4829 BC`; regular Flood dates | | `AD 64t/65n → AD 71t/72n` | AD judgment-week envelope | cumulative Flood-to-Christ terminal envelope | single AD 70 event target; AD 65 alone | | AD 70 | temple-destruction event target | Johannine temple-body / judgment-event state | AD 65–72 envelope; literal Passion date | | `2806 BC` | MattSpan_BirthHinge Abraham anchor from 6 BC | Matthean birth-hinge state | `2801 BC`; `2876 BC`; Abraham literal birth unless active state states it | | `2801 BC` | Matthean covenant numeric-year Mirror head | Jan-1 covenant / naming hinge state | `2806 BC`; `2876 BC`; ordinary civil endpoint | | `2876 BC` | Matthean head bracket / exile-bearing Abraham head-envelope | Jeconiah / Exile overlap state | Abraham literal birth; MattSpan_BirthHinge `2806 BC` | | `2877t/2876n BC → 2870t/2869n BC` | phase-expanded Matthean head bracket | exile-bearing head-envelope | unsuffixed `2876 BC` shorthand; ordinary Abraham anchor | | `MattSpan_BirthHinge` | `2800 = 40 × 70` state | Abraham → 6 BC / 1 BC birth-hinge bracket | `MattSpan_Carrier`; display table values | | `MattSpan_Carrier` | `2870 = 41 × 70` state | Abraham → AD 65 / AD 70 carrier bracket | `MattSpan_BirthHinge`; `MirrorVolume` input | | `MirrorVolume = 8050` | File_43 volume state | LukeIntervals + MattSpan_BirthHinge | MattSpan_Carrier substitution; expanded volume `8750`; `Seal700` | | `AD 29t/30n` | ministry-opening phase-pair | Tishri/Nisan ministry bracket | AD 30n alone; AD 29t alone | | `AD 33n` | preferred Friday Nisan `14/15` Passion state | Nisan Passion state | `AD 30n`; `AD 33t`; AD 34 | | `AD 33t` | Tishri-side completion member | non-Passion midpoint completion / year-field extension | second crucifixion date; Tishri / Tabernacles crucifixion state; AD 34 purification display | | `AD 33n/33t` | midpoint phase-pair | doubled Tishri/Nisan ministry bracket | unsuffixed AD 33 unless local section narrows the display | | `AD 36t/37n` | bracket completion phase-pair | second half of the seven-year Passion bracket | AD 35 contraction in File_54; Acts expansion AD 34/35 | | `AD 30n` | possible Friday Nisan `14/15` Passion state | ministry-opening / temple-body / subordinate Ramesside target | preferred `AD 33n` Passion state | | `Nisan 14/15` | Gospel-calendar slash-pair | Johannine / Synoptic Passion-calendar state | a contradiction requiring collapse; one exclusive Passion date | | `AD 34` | purification-end completed-period display | birth day-year table / exclusive-end display | Passion date; `AD 33n`; Acts expansion AD 34/35 | | `AD 34/35` | post-Passion Acts expansion field | Stephen / Paul / Gentile mission movement | Passion date; birth-purification display AD 34 | | `458 BC` decree row | Daniel 9 decree dependency | Ezra decree state by File_17 | local proof of the full decree-source argument | | `5494 BC` | LXX actual Creation endpoint | LXX actual seven-day Creation state | File_54 rounded `5486 BC`; LXX Year-6 `5496 BC` | | `5496 BC` | LXX actual Year-6 state | LXX Adam / Year-6 comparison | LXX actual endpoint `5494 BC`; Year-6 +30 `5526 BC` | | `5526 BC` | LXX actual Year-6 +30 Apparent Age state | LXX actual +30 overlay | File_54 rounded +30 `5516 BC`; Year-6 +60 `5556 BC` | | `5486 BC`; `5516 BC`; `5556 BC` | File_54 rounded / rounded +30 / Year-6 +60 states | Rounded Scaffold comparison states | File_13 actual LXX states `5494`, `5496`, `5526` | | `2521 BC` | cumulative bridge display | dependency-controlled by File_22 / File_16 | locally re-derived bridge unless dependency opens it | | Source Vault | source-history note | authorial formulation for conception, birth, and circumcision | arithmetic proof or source-critical proof | ## 0.8 Slash-pair, range, block, and envelope register | Form | Classification | Modal-State Pass handling | |---|---|---| | `7t/6n BC` | Tishri/Nisan phase-pair | Preserve as Incarnation Week opening; do not reduce to unsuffixed `6 BC`. | | `AD 1t/2n` | Tishri/Nisan phase-pair | Preserve as Incarnation Week closing / Rest-year field; do not collapse to AD 1 or AD 2 alone. | | `4837t/4836n BC → 4830t/4829n BC` | phase-expanded cumulative Flood Week | Preserve as a block. Source shorthand `4836–4829 BC` remains shorthand only. | | `1407t/1406n BC → 1400t/1399n BC` | Conquest / New Eden phase-pair block | Dependency-controlled by File_06 / File_09. Preserve East-side / West-side distinction. | | `AD 64t/65n → AD 71t/72n` | AD judgment-week envelope | Preserve as an envelope. AD 70 remains an internal event-target, not the whole envelope. | | `AD 29t/30n → AD 33n/33t → AD 36t/37n` | ministry / Passion phase-pair bracket | Preserve as a doubled Tishri/Nisan bracket. Do not convert `AD 33t` into a second Passion date. | | `Nisan 14/15` | Gospel-calendar slash-pair | Preserve John / Synoptic calendar states. Do not collapse before a local calendar state resolves them. | | `AD 33 / AD 34` legacy display | purification display distinction | Replace with state-safe language: AD 33 inclusive purification / Passion-center display; AD 34 completed-period display. | | `AD 34/35` | Acts expansion slash-pair | Retain only where the post-Passion expansion field is active. | | `AD 135–142` | Roman-era terminal comparison range | Preserve as comparison state only. It does not replace AD 65–72 or AD 70. | | `2877t/2876n BC → 2870t/2869n BC` | Matthean head-envelope block | Preserve as phase-expanded display of the `2876 BC` head bracket. | | `5327t/5326n BC → 5320t/5319n BC` | Luke God Week block | Preserve as phase-expanded display of the Luke God-head week. | | `1n BC → AD 1n` | full-year Year-6 Incarnation block | Preserve as a block; Jan 1, AD 1 is the datum inside the block. | | `Dec 25, 1 BC → Jan 1, AD 1` | inclusive eighth-day circumcision state | Preserve inclusive counting. Do not convert to exclusive ordinary day count without local statement. | | `Day -6 + 39 = Day 33` | inclusive purification day-year display | Preserve as symbolic AD 33 state. | | `Day -6 + 40 = Day 34` | completed-period purification display | Preserve as display-state only. | ## 0.9 Mirror and civil-span protocol register | Protocol or label | Function in `File_13` | Active handling | |---|---|---| | Civil cross-axis span | ordinary elapsed BC/AD span | Uses `BC + AD − 1`. Distinct from Mirror target generation. | | Same-side BC span | ordinary span within BC side | Uses BC-side subtraction. Local span checks remain under the stated operator. | | Repository Mirror hinge | Dec 31, 1 BC → Jan 1, AD 1 | Naming / circumcision hinge; local File_13 Christological center. | | Local covenant numeric-year Mirror label | `5321 BC ↔ AD 5321`; `2801 BC ↔ AD 2801` | Readable covenant labels tied to Jan 1, AD 1. Not ordinary elapsed spans. | | Phase-resolved paired Mirror coordinate-completion | `Yt/(Y−1)n BC → AD (Y−1)t/Y n` | File_09 dependency. Active only when exact Tishri/Nisan paired Mirror work is opened. | | Precise single-date numeric-year Mirror node | `Yt BC ↔ AD Yt`; `Yn BC ↔ AD Yn` | Distinct from paired Mirror. Do not average or merge unless the paired state is active. | | Cumulative Shem / Noah Mirror | `5436 BC ↔ AD 5436`; pivot display `536 BC/AD` | Node-class resolved. Pivot display classified as dual-side 4900-year display; promotion beyond display requires a Mirror-control dependency. | | Mirror coordinate-completion | Mirror counterpart completes a node, block, rail, or state | May be main-body if the coordinate identity requires it. | | Mirror corroboration | Mirror stress-test of an established structure | Corroborative only. Does not carry local proof burden. | | Mirror source-label | legacy use of “Mirror” | Preserve wording, but classify operator before making it proof-bearing. | | Mirror appendix-only | useful remote Mirror result | Appendix or non-load-bearing note. | | Protocol 1 Mirror | pure rounded A-space Mirror target generation | Not the default operator in File_13. Use only where a controlling dependency opens it. | | A-space bridge | `6 BC ↔ AD 25` in File_43 context | Distinct from rails-window `36 BC ↔ 6 BC`. Not a civil bridge. | | Rails-window operator | `36 BC ↔ 6 BC` in File_43 context | Window only. Do not chain with A-space bridge. | | Inverse-number reversal | File_52a-derived base-10 transformation | Not Mirror and not a civil-span operator. Not active locally. | | 10x Mirror scaling | deep-time scaling state | Not active locally unless a section explicitly opens it. | ## 0.10 Sign-convention and operator-state register | Operator / sign convention | Active form | Modal-State Pass handling | |---|---|---| | No-comma number formatting | `14006 BC`; `12600`; AD labels | Preserve. | | Civil cross-axis span | `BC + AD − 1` | State before using. Not Mirror target generation. | | Same-side BC span | higher BC label minus lower BC label | State before using. Not a cross-axis span. | | Calendar suffixes | `n`; `t` | Suffixes are state labels. Preserve unless exact phase-state is opened. | | Tishri/Nisan paired display | `Yt/(Y−1)n BC`; `AD (Y−1)t/Y n` | Use only in phase-resolved Mirror coordinate-completion. | | Full-year block | `1n BC → AD 1n`; `AD 1t/2n` | Treat as an envelope or block, not a point date. | | Inclusive day-count | eighth-day circumcision; 40th-day purification | Preserve inclusive / full-day distinction. | | Completed-period display | AD 34 purification display | Retain as display-state only. | | `+30 Apparent Age` | localized overlay | Do not propagate unless local state states propagation. | | `+60 Terah` | structural variator | Do not silently import into LXX actual `5494 / 5496 / 5526` states. | | `+460` cumulative 2nd Cainan | cumulative lifespan insertion | Distinct from regular `+130`. Use only by dependency. | | `25/23`; `70/69` | exact-rational Key-of-23 transformations | Preserve as exact ratios. Arithmetic Pass checked the local conversions listed in §0.11; dependency conversions remain dependency-controlled. | | `1260`; `1290`; `490`; `1470`; `2450` | prophetic / Jubilee component states | Treat as span-component states unless local section states the anchor and operator. | | `2800`; `2870`; `5320`; `5250`; `8050`; `8750`; `700` | File_43 genealogy controls | Preserve locked inputs and labels. Do not substitute related span values. | ## 0.11 Arithmetic Pass controls and ledger Arithmetic Pass scope: This pass checks locally executable arithmetic only: same-side BC subtraction, civil cross-axis spans, exact factorization, Key-of-23 conversions, exact-half ministry states, date-range spans, and envelope checks. It does not perform pressure testing, does not recompute external source claims, and does not expand dependency-controlled derivations. Machine Guard [FILE_13 ARITHMETIC PASS SCOPE]: Arithmetic checked in this pass is local and operator-bound. A checked equation does not promote a dependency-controlled state into a local proof. Do not use this ledger to erase modal states, suffixes, slash-pairs, ranges, Mirror classifications, Source Vault status, or File_22 dependency controls. Arithmetic Pass result: All locally executable arithmetic checks listed below are clean under the stated operator. No arithmetic blocker was identified. Source-hygiene note: One malformed Markdown code fence in §1.3 was repaired so the Matthew covenant equation prints correctly. This did not change arithmetic, anchors, modal states, node-classes, operators, or theological claims. ### 0.11.1 Genealogical carrier checks | State | Check | Result | |---|---:|---:| | LukeSpan | `76 × 70` | `5320` | | LukeIntervals | `75 × 70` | `5250` | | Lukan full-generation state | `77 × 70` | `5390` | | Lukan Jubilee equivalent | `110 × 49` | `5390` | | MattSpan_BirthHinge | `40 × 70` | `2800` | | MattSpan_Carrier | `41 × 70` | `2870` | | MirrorVolume carrier | `115 × 70` | `8050` | ### 0.11.2 Luke and Matthew head checks | State | Operator | Check | Result | |---|---|---:|---:| | Luke historical head | BC-side projection | `6 + 5320` | `5326 BC` | | Luke covenant head | BC-side projection | `1 + 5320` | `5321 BC` | | Luke historical terminal | civil cross-axis | `5326 + 65 − 1` | `5390` | | Luke covenant terminal | civil cross-axis | `5321 + 70 − 1` | `5390` | | Matthew historical head | BC-side projection | `6 + 2800` | `2806 BC` | | Matthew covenant head | BC-side projection | `1 + 2800` | `2801 BC` | | Matthew historical carrier | civil cross-axis | `2806 + 65 − 1` | `2870` | | Matthew covenant carrier | civil cross-axis | `2801 + 70 − 1` | `2870` | | Matthean head bracket | BC-side projection | `2806 + 70` | `2876 BC` | | Luke / Matthew Jubilee bridge | same-side BC span | `5326 − 2876` | `2450` | | Jubilee bridge factorization | factorization | `5 × 490`; `50 × 49` | `2450` | ### 0.11.3 File_43 MirrorVolume and Seal700 checks | State | Check | Result | |---|---:|---:| | MirrorVolume | `5250 + 2800` | `8050` | | MirrorVolume factorization | `115 × 70` | `8050` | | Priestly expansion | `8050 × 25/23` | `8750` | | Expansion component | `8050 ÷ 23` | `350` | | Expansion component | `350 × 25` | `8750` | | Cubic target | `8750 ÷ 70` | `125 = 5^3` | | Seal700 | `8750 − 8050` | `700` | | Seal700 factorization | `10 × 70` | `700` | Dependency note: These checks preserve the File_43 prohibition: `MattSpan_Carrier = 2870` must not be substituted into MirrorVolume, expanded volume, or Seal700. ### 0.11.4 Covenant numeric-year Mirror execution checks Readable covenant labels: ```markdown 5321 BC ↔ AD 5321 2801 BC ↔ AD 2801 ``` Executable paired full-year checks: | State | Civil cross-axis check | Result | |---|---:|---:| | Luke covenant paired Mirror | `5321 + 5320 − 1` | `10640 = 152 × 70` | | Luke covenant paired Mirror | `5320 + 5321 − 1` | `10640 = 152 × 70` | | Matthew covenant paired Mirror | `2801 + 2800 − 1` | `5600` | | Matthew covenant paired Mirror | `2800 + 2801 − 1` | `5600` | | Luke Adam / Matthew Abraham cross-Mirror | `5251 + 2800 − 1` | `8050 = 7 × 1150` | | Luke Adam / Matthew Abraham cross-Mirror | `5250 + 2801 − 1` | `8050 = 7 × 1150` | | Luke Adam / Matthew Abraham same-side span | `5251 − 2801` | `2450 = 5 × 490` | ### 0.11.5 Incarnation, Flood, Conquest, and judgment-envelope checks | State | Operator | Check | Result | |---|---|---:|---:| | Luke God Week width, Tishri member | same-side BC span | `5327 − 5320` | `7` | | Luke God Week width, Nisan member | same-side BC span | `5326 − 5319` | `7` | | Cumulative Flood Week width, Tishri member | same-side BC span | `4837 − 4830` | `7` | | Cumulative Flood Week width, Nisan member | same-side BC span | `4836 − 4829` | `7` | | Flood to Incarnation, Tishri opening | same-side BC span | `4837 − 7` | `4830` | | Flood to Incarnation, Nisan opening | same-side BC span | `4836 − 6` | `4830` | | Flood close to Incarnation close, Tishri | civil cross-axis | `4830 + 1 − 1` | `4830` | | Flood close to Incarnation close, Nisan | civil cross-axis | `4829 + 2 − 1` | `4830` | | Incarnation Week, Tishri member | civil cross-axis | `7 + 1 − 1` | `7` | | Incarnation Week, Nisan member | civil cross-axis | `6 + 2 − 1` | `7` | | Herodian two-year edge, Tishri member | civil cross-axis | `2 + 1 − 1` | `2` | | Herodian two-year edge, Nisan member | civil cross-axis | `1 + 2 − 1` | `2` | | Flood to Conquest, Tishri opening | same-side BC span | `4837 − 1407` | `3430 = 7 × 490` | | Flood to Conquest, Nisan opening | same-side BC span | `4836 − 1406` | `3430 = 7 × 490` | | Flood to Conquest, Tishri close | same-side BC span | `4830 − 1400` | `3430 = 7 × 490` | | Flood to Conquest, Nisan close | same-side BC span | `4829 − 1399` | `3430 = 7 × 490` | | Conquest to judgment, Tishri opening | civil cross-axis | `1407 + 64 − 1` | `1470 = 3 × 490` | | Conquest to judgment, Nisan opening | civil cross-axis | `1406 + 65 − 1` | `1470 = 3 × 490` | | Conquest to judgment, Tishri close | civil cross-axis | `1400 + 71 − 1` | `1470 = 3 × 490` | | Conquest to judgment, Nisan close | civil cross-axis | `1399 + 72 − 1` | `1470 = 3 × 490` | | Flood / Conquest / Christ arc | addition | `3430 + 1470` | `4900` | ### 0.11.6 Luke God Week to AD judgment-week checks | State | Civil cross-axis check | Result | |---|---:|---:| | Luke God Week opening to judgment opening, Tishri | `5327 + 64 − 1` | `5390` | | Luke God Week opening to judgment opening, Nisan | `5326 + 65 − 1` | `5390` | | Luke God Week close to judgment close, Tishri | `5320 + 71 − 1` | `5390` | | Luke God Week close to judgment close, Nisan | `5319 + 72 − 1` | `5390` | | Transfer sequence | `490 + 4900` | `5390` | | Lukan full-generation factorization | `77 × 70`; `110 × 49` | `5390` | ### 0.11.7 Christ-generation and Passion-bracket checks | State | Operator | Check | Result | |---|---|---:|---:| | Full Christ generation, Tishri start register | civil cross-axis | `7 + 64 − 1` | `70` | | Full Christ generation, Nisan start register | civil cross-axis | `6 + 65 − 1` | `70` | | Half-generation, Tishri start register | civil cross-axis | `7 + 29 − 1` | `35` | | Half-generation, Nisan start register | civil cross-axis | `6 + 30 − 1` | `35` | | Rest-year generation, Tishri register | AD-side subtraction | `71 − 1` | `70` | | Rest-year generation, Nisan register | AD-side subtraction | `72 − 2` | `70` | | Rest-year half-generation, Tishri register | AD-side subtraction | `36 − 1` | `35` | | Rest-year half-generation, Nisan register | AD-side subtraction | `37 − 2` | `35` | | Final flank, Tishri register | AD-side subtraction | `71 − 36` | `35` | | Final flank, Nisan register | AD-side subtraction | `72 − 37` | `35` | | Passion bracket, Tishri-to-Tishri | AD-side subtraction | `36 − 29` | `7` | | Passion bracket, Nisan-to-Nisan | AD-side subtraction | `37 − 30` | `7` | | Ministry first half, Tishri opening to Nisan midpoint | exact-half phase state | `AD 29t → AD 33n` | `3.5` | | Ministry first half, Nisan opening to Tishri midpoint | exact-half phase state | `AD 30n → AD 33t` | `3.5` | | Ministry second half, Nisan midpoint to Tishri close | exact-half phase state | `AD 33n → AD 36t` | `3.5` | | Ministry second half, Tishri midpoint to Nisan close | exact-half phase state | `AD 33t → AD 37n` | `3.5` | | Local Christological envelope, Tishri member | civil cross-axis | `7 + 71 − 1` | `77` | | Local Christological envelope, Nisan member | civil cross-axis | `6 + 72 − 1` | `77` | ### 0.11.8 Cumulative Flood to Christ midpoint / terminal checks | Flood member | Christ member | Operator | Check | Result | |---|---:|---|---:|---:| | `4837t BC` | `AD 29t` | civil cross-axis | `4837 + 29 − 1` | `4865` | | `4836n BC` | `AD 30n` | civil cross-axis | `4836 + 30 − 1` | `4865` | | `4830t BC` | `AD 36t` | civil cross-axis | `4830 + 36 − 1` | `4865` | | `4829n BC` | `AD 37n` | civil cross-axis | `4829 + 37 − 1` | `4865` | | `4837t BC` | `AD 64t` | civil cross-axis | `4837 + 64 − 1` | `4900` | | `4836n BC` | `AD 65n` | civil cross-axis | `4836 + 65 − 1` | `4900` | | `4830t BC` | `AD 71t` | civil cross-axis | `4830 + 71 − 1` | `4900` | | `4829n BC` | `AD 72n` | civil cross-axis | `4829 + 72 − 1` | `4900` | Factor checks: ```markdown 4830 = 69 × 70 4865 = 4830 + 35 4900 = 70 × 70 = 10 × 490 ``` ### 0.11.9 Matthew exile-bearing head and Roman-era comparison checks | State | Operator | Check | Result | |---|---|---:|---:| | Exile-bearing head, Tishri opening | civil cross-axis | `2877 + 64 − 1` | `2940 = 6 × 490` | | Exile-bearing head, Nisan opening | civil cross-axis | `2876 + 65 − 1` | `2940 = 6 × 490` | | Exile-bearing head, Tishri close | civil cross-axis | `2870 + 71 − 1` | `2940 = 6 × 490` | | Exile-bearing head, Nisan close | civil cross-axis | `2869 + 72 − 1` | `2940 = 6 × 490` | | No-overlap deferred terminal, opening | civil cross-axis | `2806 + 135 − 1` | `2940 = 6 × 490` | | No-overlap deferred terminal, close | civil cross-axis | `2799 + 142 − 1` | `2940 = 6 × 490` | ### 0.11.10 Cumulative Creation Mirror of Conquest checks | Cumulative Creation member | AD Mirror member | Civil cross-axis check | Result | |---|---:|---:|---:| | `14012t BC` | `AD 1399t` | `14012 + 1399 − 1` | `15410` | | `14011n BC` | `AD 1400n` | `14011 + 1400 − 1` | `15410` | | `14005t BC` | `AD 1406t` | `14005 + 1406 − 1` | `15410` | | `14004n BC` | `AD 1407n` | `14004 + 1407 − 1` | `15410` | Factor checks: ```markdown 15410 = 23 × 670 15410 + 460 = 15870 15870 = 23 × 23 × 30 ``` ### 0.11.11 Cumulative Shem / Noah Mirror pivot checks The author-clarified node-class checks locally: ```markdown 5436 − 4836 = 600 ``` This verifies the statement that `5436 BC` is 600 years before the opening member of the `4836–4829 BC` Shem-death / Flood / Arphaxad-birth field. The `4900`-per-side pivot display also checks as a paired side-span display: ```markdown 5436 BC → 536 BC = 5436 − 536 = 4900 AD 536 → AD 5436 = 5436 − 536 = 4900 ``` Arithmetic classification: The pivot display `536 BC/AD` is not the civil midpoint of the direct cross-axis span `5436 BC → AD 5436`, because: ```markdown 5436 + 5436 − 1 = 10871 ``` Therefore, File_13 retains `536 BC/AD` as a dual-side 4900-year pivot display inside the cumulative MT Shem / Noah Mirror state, not as ordinary civil midpoint arithmetic. ### 0.11.12 Ezra, day-year, Temple, and Key-of-23 checks | State | Operator | Check | Result | |---|---|---:|---:| | Ezra decree to AD 26n | civil cross-axis | `458 + 26 − 1` | `483` | | Ezra decree to AD 29t | exact-half Tishri state | `458 + 29 − 1 + 0.5` | `486.5` | | Ezra decree to AD 33n | civil cross-axis | `458 + 33 − 1` | `490` | | Inclusive purification | day-year count | `-6 + 39` | `33` | | Completed-period purification display | day-year count | `-6 + 40` | `34` | | Birth-to-purification components | addition | `7 + 1 + 32` | `40` | | Inclusive shorthand | ordinal display | `7 + 33` | `40th day` | | Purification overlap expansion | Key-of-23 | `460 × 25/23` | `500` | | Purification overlap remainder | subtraction | `500 − 460` | `40` | | Temple harmonic | Key-of-23 | `46 × 25/23` | `50` | | Exodus-Christ chiasm components | addition | `46 + 1380 + 46` | `1472` | | Exodus-Christ Priestly expansion | Key-of-23 | `1472 × 25/23` | `1600` | | Temple expansion factorization | factorization | `1600 = 4 × 400` | checks | ### 0.11.13 Expansion-vector, cumulative-bridge, and LXX checks | State | Operator | Check | Result | |---|---|---:|---:| | MT actual Creation endpoint to AD 27 | civil cross-axis | `4114 + 27 − 1` | `4140` | | Prophetic Output | addition | `4114 + 60` | `4174 BC` | | Priestly Output | addition | `4114 + 360` | `4474 BC` | | Cumulative bridge to 1 BC | same-side BC span | `2521 − 1` | `2520 = 1260 + 1260` | | Cumulative bridge to AD 30 | civil cross-axis | `2521 + 30 − 1` | `2550 = 1290 + 1260` | | LXX actual endpoint offset | same-side BC span | `5494 − 4114` | `1380 = 60 × 23` | | LXX actual Year-6 offset | same-side BC span | `5496 − 4116` | `1380` | | LXX actual Year-6 +30 offset | same-side BC span | `5526 − 4146` | `1380` | | LXX endpoint to AD 27 | civil cross-axis | `5494 + 27 − 1` | `5520` | | LXX Second Adam Priestly expansion | Key-of-23 | `5520 × 25/23` | `6000` | Dependency note: The local arithmetic for the `2521 BC` bridge checks, but the origin and full derivation of `2521 BC` remain File_22 / File_16 controlled. ## 0.12 Argument Pass controls and claim ladder Argument Pass scope: This pass clarifies evidential role, proof order, dependency boundaries, and rhetorical restraint. It does not alter arithmetic, anchors, modal states, node-classes, sign conventions, operators, Mirror protocols, theological claims, or dependency-controlled values. Machine Guard [FILE_13 ARGUMENT-CONTROL]: File_13 is a Christological joint file. It may gather controlled results from genealogy, Creation, Flood, Conquest, Passion, Temple, LXX, and Mirror files, but it must not silently convert a dependency-controlled result into a local proof. Arithmetic facts and textual / chronology data carry the base computational layer. Structural inferences explain how checked states interlock. Theological, typological, Johannine, and source-history notes explain why the structure matters. They do not replace arithmetic, source-control, or dependency-control. ### 0.12.1 File_13 claim ladder | Layer | Claim-status role | Handling in `File_13` | |---|---|---| | Base data | textual datum; source-retained chronology datum | Preserved where Luke, Matthew, John, Daniel, Isaiah, Leviticus, or legacy File_13 source wording supplies the datum. | | Computation | arithmetic fact | Checked locally only where the operator is stated; final and pressure-tested status is preserved in the header. | | Structure | structural inference | Used where multiple checked states interlock, such as Luke God Week / Flood / judgment, Matthew dual Abraham placement, or the Passion bracket. | | Theology / typology | theological note; typological note; Johannine note | Preserved as meaning and interpretation, not as computational proof. | | Comparative tradition | shared-tradition evidence; dependency-controlled | Used where File_54, File_43, File_09, File_16, File_17, or File_22 controls the broader argument. | | Mirror role | Mirror coordinate-completion; Mirror corroboration; Mirror appendix-only; Mirror source-label | Classified locally; not automatically foundational merely because File_00 defines the repository Mirror entry protocol. | | Source history | source-history note | Preserves Source Vault and article-derived day-year material; does not replace arithmetic or source-control. | | Audit / dependency | audit note; dependency note | Retains unresolved derivations, external proof requirements, or non-local dependencies. | ### 0.12.2 Argument order File_13 should argue in this order: 1. state the active chronology, node-class, suffix state, and operator; 2. give the arithmetic fact or source-retained datum; 3. classify the structural inference; 4. add theological, typological, Johannine, or source-history meaning only after the state and operator are clear; 5. mark dependency-controlled material rather than expanding it locally. ### 0.12.3 Rhetorical restraint controls Terms such as `bullseye`, `Second Adam`, `Son of God`, `Son of Man`, `pre-Abrahamic`, `pre-Adamic`, `New Creation`, and `temple-body` are retained as source-history, theological, typological, or Johannine labels. They are not arithmetic operators. Where a phrase is meaningful but not computational, the local section should label it as `Theological note:`, `Typological note:`, `Johannine note:`, or `Source-history note:`. ### 0.12.4 Dependency-boundary controls `File_43` controls Luke / Matthew genealogy labels and the disallowed 30-year straddling operator. `File_54` controls the Luke / Rounded / BJ comparative synthesis and the AD 65 / AD 35 / AD 33 distinction. `File_09` controls exact phase-resolved paired Mirror suffix inversion. `File_22` controls the origin and full derivation of the `2521 BC` cumulative bridge. Article-derived Nativity and Passion-calendar material is useful for clarifying File_13 states, but the full article apparatus remains source-history unless a later pass opens it as a local source-control section. ## 1. Genealogical Anchors: Luke Historical, Luke Covenant, and Matthew Active state: Luke historical / pre-existent Son anchor; Luke covenant / Second Adam anchor; Matthew birth-hinge and carrier states. Argument-control note: The equations in this section are arithmetic facts under File_43 genealogy labels. `Son of God`, `Second Adam`, and `Son of Man` are theological node-class labels, not separate arithmetic operators. ### 1.1 Luke historical anchor The 6 BC anchor is the historical / pre-existent Son anchor. ```markdown LukeSpan = 76 × 70 = 5320 6 BC + 5320 = 5326 BC ``` The `5326 BC` head is the Luke historical / Son-of-God New Creation anchor. ### 1.2 Luke covenant / naming anchor The 1 BC / AD 1 anchor is the covenant / naming anchor. ```markdown 1 BC + 5320 = 5321 BC ``` The full Year-6 Incarnation block is: ```markdown 1n BC → AD 1n ``` Jan 1, AD 1 is the naming / circumcision datum and local Mirror hinge. Theological note: `5321 BC` is not an ordinary elapsed civil-span endpoint from Jan 1, AD 1. It is the local covenant numeric-year Mirror label tied to the Second Adam / naming hinge. ### 1.3 Matthew birth-hinge and carrier Matthew preserves two required labels: ```markdown MattSpan_BirthHinge = 2800 = 40 × 70 MattSpan_Carrier = 2870 = 41 × 70 ``` From the historical birth hinge: ```markdown 6 BC + 2800 = 2806 BC ``` From the covenant / naming hinge: ```markdown 1 BC + 2800 = 2801 BC ``` The carrier state includes the Christ generation: ```markdown 2806 BC → AD 65 = 2870 2801 BC → AD 70 = 2870 ``` Dependency note: `File_43` disallows bare “Matthew span.” Use `MattSpan_BirthHinge` or `MattSpan_Carrier`. ## 2. Creation, Flood, Conquest, and Incarnation Weeks Active state: First Creation; cumulative Flood new-creation motif; Conquest / New Eden; Incarnation / New Creation. Argument-control note: The week structures are structural inferences applied to a shared Christological week. The Creation `3 + 3 + 1` and Flood `2 + 3 + 2` decompositions explain typological function; they do not replace the arithmetic block. ### 2.1 First Creation and Second Creation The First Creation week is a seven-day / seven-year template. The Incarnation is treated as the Second Creation. In the Christological week: ```markdown 7t/6n BC → AD 1t/2n ``` Nisan form: ```markdown 6n BC → AD 2n Year 6 = 1n BC → AD 1n Year 7 / Rest = AD 1n → AD 2n ``` ### 2.2 Creation-pattern and Flood-pattern segmentation The Incarnation Week carries two simultaneous internal decompositions. Creation-pattern state: ```markdown 3 + 3 + 1 ``` Flood-pattern state: ```markdown 2 + 3 + 2 ``` Machine-control note: Do not use one decomposition to erase the other. The `3 + 3 + 1` structure belongs to the Creation-forming / Creation-filling / Sabbath-rest state. The `2 + 3 + 2` structure belongs to the cumulative Flood / judgment-reset state. ### 2.3 Cumulative Flood and Herodian two-year edge The cumulative MT Flood Week is: ```markdown 4837t/4836n BC → 4830t/4829n BC ``` The corresponding Christological Week is: ```markdown 7t/6n BC → AD 1t/2n ``` The Herodian two-year edge is: ```markdown 2t/1n BC → AD 1t/2n ``` Textual / typological note: The NT datum concerning the male children “two years old and under” supports the final two-year edge. It does not replace the arithmetic structure. ### 2.4 Flood / Conquest / Christ arc The cumulative Flood Week aligns with the Conquest / New Eden week by: ```markdown 3430 = 7 × 490 ``` The Conquest / New Eden week then aligns with the Christ-generation terminal by: ```markdown 1470 = 3 × 490 ``` Therefore: ```markdown 3430 + 1470 = 4900 ``` ## 3. Luke God Week, Cumulative Flood, and the AD Judgment Envelope Active state: Luke God Week; cumulative MT Flood Week; AD judgment-week envelope; fractal `7 + 70 = 77` Christological envelope. Argument-control note: `490 + 4900 = 5390` is an arithmetic fact under the stated blocks. The term `fractal` is structural inference: it describes repeated scale-patterning, not a new generation length. The Luke God Week is: ```markdown 5327t/5326n BC → 5320t/5319n BC ``` The cumulative MT Flood Week is: ```markdown 4837t/4836n BC → 4830t/4829n BC ``` The AD judgment-week envelope is: ```markdown AD 64t/65n → AD 71t/72n ``` Source-retained structure: ```markdown 490 + 4900 = 5390 5390 = 77 × 70 = 110 × 49 ``` The local Christological generation envelope is: ```markdown 7t/6n BC → AD 1t/2n → AD 71t/72n ``` This gives the local `7 + 70 = 77` envelope while preserving the ordinary 70-year genealogical carrier. ## 4. Matthew’s Exile-Bearing Abraham Head and File_43 Controls Active state: Matthew dual-bracket state; Jeconiah / Exile overlap; pre-Abrahamic Christ head-envelope. Argument-control note: `2876 BC` is an envelope marker and typological head-bracket, not Abraham’s literal birth. The Johannine phrase supplies theological meaning after the Matthew state has been defined. ### 4.1 Matthew dual Abraham placement The ordinary Matthean Abraham anchor is: ```markdown 2806 BC ``` The exile-bearing Matthean head bracket is: ```markdown 2876 BC ``` Phase-expanded form: ```markdown 2877t/2876n BC → 2870t/2869n BC ``` Theological / typological note: The Matthew overlap allows Christ to occupy the pre-Abrahamic head-envelope, bearing the exile-generation in himself. This does not make `2876 BC` Abraham’s literal birth. It is the Matthean head-bracket state in which Christ stands before Abraham. Johannine note: The saying “Before Abraham was, I am” supplies the theological caption for this structure. ### 4.2 File_43 locks retained File_43 verifies the following terms and guards: ```markdown LukeSpan = 5320 = 76 × 70 LukeIntervals = 5250 = 75 × 70 MattSpan_BirthHinge = 2800 = 40 × 70 MattSpan_Carrier = 2870 = 41 × 70 Matthean head bracket = 2876 BC Luke-head ↔ Matthew-head = 2450 = 5 × 490 = 50 × 49 MirrorVolume = 8050 = 5250 + 2800 8050 × 25/23 = 8750 Seal700 = 8750 − 8050 = 700 ``` Dependency note: The File_43 double-generational knot is compositional only. It may justify end-cap overlap as literary framing, but it must not overwrite arithmetic locks. Dependency note: The File_43 “30-year straddling” correction is retained: `36 BC ↔ 6 BC` is a rails-window operator; `6 BC ↔ AD 25` is an A-space bridge operator. They are not one continuous arithmetic operator. ## 5. Mirror Classifications and Phase-Pair Rules Active state: local File_13 Mirror taxonomy; Jan 1, AD 1 covenant hinge; phase-resolved paired Mirror; civil cross-axis arithmetic. Argument-control note: Mirror material in File_13 is classified by local function. Only civil-span checks are ordinary arithmetic facts. Covenant numeric-year Mirror labels and phase-resolved paired Mirror coordinate-completion require their named protocols. ### 5.1 Mirror taxonomy for File_13 | Category | Function in `File_13` | |---|---| | Repository Mirror hinge | Dec 31, 1 BC → Jan 1, AD 1; naming / circumcision hinge. | | Local covenant numeric-year Mirror label | `5321 BC ↔ AD 5321`; `2801 BC ↔ AD 2801`. | | Phase-resolved paired Mirror coordinate-completion | `Yt/(Y−1)n BC → AD (Y−1)t/Y n`. | | Precise single-date numeric-year Mirror node | Single `Yt BC ↔ AD Yt` or `Yn BC ↔ AD Yn` state. | | Mirror coordinate-completion | Mirror counterpart needed to understand a node, block, rail, or state. | | Mirror corroboration | Mirror stress-test of an already established structure. | | Mirror source-label | Legacy “Mirror” wording preserved but not promoted until the operator is stated. | | Mirror appendix-only | Useful but non-load-bearing Mirror result. | | Exploratory or dependency-controlled Mirror note | Coherent but not yet locally executable. | | Not Mirror | Ordinary civil span, Key-of-23 transformation, inverse-number reversal, or same-side span. | ### 5.2 Covenant numeric-year Mirror labels ```markdown 5321 BC ↔ AD 5321 2801 BC ↔ AD 2801 ``` These are local covenant numeric-year Mirror labels tied to Jan 1, AD 1. Executable paired full-year checks must remain component-wise and use civil-span arithmetic when computing spans. ### 5.3 Cumulative Shem / Noah Mirror state The source line: ```markdown 5436 BC ↔ AD 5436 Pivot at 536 BC/AD 4900 years on either side ``` is retained as the cumulative MT Shem / Noah Mirror state. Author-clarified node-class: `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. Argument-control note: The node-class is resolved as cumulative MT Shem / Noah Mirror coordinate-completion. Arithmetic Pass classified the `536 BC/AD` pivot as a dual-side 4900-year display. This display may corroborate the Shem / Noah Mirror state, but it does not by itself become a general Mirror protocol or an ordinary civil midpoint. ## 6. Passion, Ministry, Temple, and Gospel-Calendar States Active state: AD 33n preferred Passion state / AD 30n possible Passion state; doubled Tishri/Nisan ministry bracket; Nisan `14/15`; Johannine temple-body state. Argument-control note: The AD 33n Passion preference is an authorial / source-controlled calendar judgment supported by the local state. AD 30n is retained as a possible Friday Nisan `14/15` Passion state and structurally meaningful target. The Nisan `14/15` slash-pair is a Gospel-calendar state, not a contradiction to be flattened. ### 6.1 Passion-date pair File_13 preserves: ```markdown AD 33n = preferred Friday Nisan 14/15 Passion state AD 30n = possible Friday Nisan 14/15 Passion state ``` AD 33n is the preferred Passion center. AD 30n remains a possible Friday Nisan `14/15` Passion state and structurally meaningful target. Neither state should be deleted or collapsed. ### 6.2 Ministry bracket The doubled Tishri/Nisan ministry and Passion bracket is: ```markdown AD 29t/30n → AD 33n/33t → AD 36t/37n ``` State note: `AD 29t/30n → AD 33n/33t` completes the 3.5-year ministry of Christ. `AD 33n/33t` divides the two parallel seven-year periods in half. Theological note: `AD 33n` is the literal Passion center. Christ is cut off in the Nisan state, on Friday, at Passover / Unleavened Bread. `AD 33t` is not a second crucifixion state. It is the Tishri-side completion member, allowing Ascension and Pentecost to remain inside the AD 33 year-field as the sequence moves toward Rosh Hashanah. ### 6.3 Nisan `14/15` Gospel-calendar slash-pair File_13 preserves both Gospel calendar states: ```markdown John: Nisan 14 Synoptics: Nisan 15 Passion-calendar slash-pair: Nisan 14/15 ``` Source-control note: The authorial judgment is that AD 33 Friday best fits the lunar Passover crucifixion evidence, while AD 30 remains plausible and structurally meaningful. ### 6.4 Ezra decree row The Ezra decree row is retained as a Daniel 9 dependency: ```markdown 458 BC → AD 26n = 483 458 BC → AD 29t = 486.5 458 BC → AD 33n = 490 ``` Dependency note: File_17 controls Daniel 9 span anatomy and decree-state components. ### 6.5 Johannine temple-body state Johannine note: Near Nisan AD 30, Jesus identifies the temple with his body. The saying “in three days I will raise it up” may operate at two scales: three literal days to resurrection and a three-year ministry arc from the temple-body declaration to the AD 33n Passion / Resurrection center. Typological note: AD 70 extends the temple-body symbolism into the historical destruction of the Jerusalem temple. AD 70 is a judgment-event target inside the AD 65–72 envelope. It does not replace the Passion date. ## 7. Birth Day-Year, Circumcision, Purification, and Nativity Projection Active state: traditional birth datum; Jan 1 covenant datum; 6 BC 360-era day-year conversion; inclusive purification count; completed-period purification display. Argument-control note: The day-year material is article-derived source-history used to clarify File_13’s birth / purification state. Inclusive counts are preserved as state-defined arithmetic; the article apparatus is not imported as a full local proof section. ### 7.1 Traditional birth and circumcision The traditional birth datum is: ```markdown Dec 25, 1 BC ``` In the day-year register: ```markdown Day -6 = symbolic 7 BC ``` The circumcision and naming of Christ occur on the eighth day inclusively: ```markdown Dec 25, 1 BC → Jan 1, AD 1 Day -6 → Day +1 ``` Structural inference: Jan 1, AD 1 functions here as the naming / circumcision / covenant datum and local Mirror hinge. ### 7.2 Purification and AD 33 / AD 34 The purification of Mary is traditionally counted inclusively. The 40th day is 39 full days after birth: ```markdown Day -6 + 39 = Day 33 ``` Thus: ```markdown symbolic Day 33 = AD 33 ``` Display-state note: The legacy AD 34 purification value is retained only as a completed-period / exclusive-end display state: ```markdown Day -6 + 40 = Day 34 ``` It is not a Passion-date state and must not replace `AD 33n` as the preferred Passion center. ### 7.3 Birth-to-purification structure The birth-to-purification structure may be decomposed as: ```markdown 7 + 1 + 32 = 40 ``` or, in the inclusive Passion-symbolic shorthand: ```markdown 7 + 33 = 40th day ``` The `460 × 25/23 = 500` expansion adds the same 40-day purification overlap: ```markdown 460 × 25/23 = 500 500 − 460 = 40 ``` Typological note: This links John’s conception, Jesus’ birth, Mary’s purification, the temple presentation, and the two-dove purification sign into one Christological day-year structure. ## 8. Johannine Temple Harmonic and Exodus-Christ Priestly Expansion Active state: Johannine Temple harmonic; Exodus-Christ Priestly expansion; Key-of-23 transformation. Argument-control note: The Johannine references are textual / theological anchors. The `46/50` and `1472 → 1600` relations are arithmetic facts under `25/23`; the claim that Jesus is the Priestly Temple is a theological note. ### 8.1 Temple `46/50` key Source texts: ```markdown John 2:20 John 8:57 ``` Temple harmonic: ```markdown 46 × 25/23 = 50 ``` Theological note: In this Johannine / Priestly expansion state, Jesus is interpreted as the Priestly Temple. ### 8.2 Exodus-Christ chiasm The source-retained Exodus-Christ chiasm is: ```markdown 1472 = 46 + 1380 + 46 1472 × 25/23 = 1600 1600 = 4 × 400 ``` Dependency note: File_05 and File_17 control Exodus-to-Christ Priestly expansion and prophetic span-component anatomy. This is not File_54’s `1470` Luke/BJ terminal relation. ## 9. Christological Expansion Vectors and Cumulative Bridge Active state: Creation-to-Christ expansion vector; prophetic / Priestly outputs; cumulative bridge dependency. Argument-control note: This section preserves source-retained vectors and local target checks. The origin and full derivation of the `2521 BC` bridge remain dependency-controlled and must not be made proof-bearing in File_13. The source-retained expansion vector is: ```markdown 4114 BC → AD 27 = 4140 Prophetic Output (+60): 4174 BC Priestly Output (+360): 4474 BC ``` Dependency note: These values are retained as Christological expansion-vector states. File_07, File_16, File_17, and File_22 control the full derivations. The cumulative bridge is retained as dependency-controlled: ```markdown 2521 BC 1260 + 1260 to 1 BC 1290 + 1260 to AD 30 ``` Dependency note: Do not re-prove or expand the `2521 BC` bridge in File_13 unless File_22 controls are opened locally. ## 10. LXX Second Adam 6000-Year Lock Active state: LXX actual Creation endpoint / seven-day Creation state; AD 27 ministry target; Priestly `25/23` expansion. Argument-control note: The MT/LXX point-to-point differences and the `5520 × 25/23 = 6000` conversion are arithmetic facts. The Second Adam / New Adam interpretation is a theological note applied after the LXX actual endpoint state is defined. The LXX actual Creation endpoint is: ```markdown 5494 BC ``` It stands 1380 years after the MT actual Creation endpoint: ```markdown 5494 − 4114 = 1380 1380 = 60 × 23 ``` The actual Year-6 point-to-point relation is: ```markdown 5496 − 4116 = 1380 ``` The actual Year-6 +30 Apparent Age relation is: ```markdown 5526 − 4146 = 1380 ``` These states do not include `+60 Terah`. The Christological ministry target produces: ```markdown 5494 BC → AD 27 5494 + 27 − 1 = 5520 ``` The Priestly expansion is: ```markdown 5520 × 25/23 = 6000 ``` Theological note: In this LXX actual Creation endpoint state, Christ functions as the Second Adam / New Adam of the sixth millennium. Source-control note: Where LXX Genesis chronology is active, Henry B. Smith Jr.’s reconstruction of the LXX Genesis 5 and 11 chronology should be mentioned as an external LXX reconstruction witness. Smith supports the LXX chronology layer; he is not the source of the repository’s harmonic interpretation. ## 11. Source Vault and Legacy Evidence Active state: source-history note; authorial interpretation; arithmetic checked separately. Argument-control note: Source Vault material preserves authorial formulation and legacy reasoning. It may explain why states are retained, but it does not replace File_13’s arithmetic ledger or cross-file dependencies. Source-history note: The legacy source preserves the authorial formulation that Christ was conceived about the spring equinox in 1 BC, born about the winter solstice, and circumcised at the crossover from Dec 31, 1 BC to Jan 1, AD 1. This source-history note explains why both the `5326 BC` and `5321 BC` Christological head states are preserved. Legacy Matthew note: The source line “The 1400+1400 is a macro cosm... connecting to Abraham’s 10-year generations” is retained as a source-history note. Its local operator remains unopened in File_13 and should not be made proof-bearing without a controlling dependency. ## 12. Cross-reference index | Topic | Primary dependency | |---|---| | Luke / Matthew genealogy controls | `File_43`; `File_54` | | Luke / BJ / Rounded comparative synthesis | `File_54` | | Mirror / civil / inverse firewall | `File_00`; `File_09`; `File_54` | | Cumulative Flood Week and AD judgment-week envelope | `File_02`; `File_09` | | Conquest / New Eden phase-pair | `File_06`; `File_09` | | Creation-week and cumulative Creation Mirror | `File_07`; `File_09` | | Passion calendar and AD 30 / AD 33 parallax | `File_12`; `File_16`; `File_17`; attached article material by source-history | | Exodus-Christ Priestly expansion | `File_05`; `File_17` | | Day-year Nativity and purification | `File_12`; `File_14`; attached article material by source-history | | LXX actual endpoint and Second Adam 6000 lock | `File_07`; `File_10`; `File_51a`; `File_54` for rounded-state firewall | | Cumulative bridge `2521 BC` | `File_22`; `File_16` | | David / Christ typological comparison | `File_08`; `File_13` reciprocal update needed | ## Appendix A. Retained legacy schematic outline Source-history note: The original File_13 schematic is retained conceptually but redistributed into the sections above. | Legacy heading | Revised location | |---|---| | The Dual Anchor | §§1–3 | | The Logic Engine | §§1–5 | | The Chiastic Mirror | §5.3 | | The Temple Harmonic | §8 | | The Exodus-Christ Chiasm | §8.2 | | The Crucifixion Parallax | §6 | | The Incarnation Week | §2 | | The Ministry Mirror | §6 | | The Mosaic Fractal | §6 / §8 dependency context | | The Vita Christi Fractal | §7 | | The Nativity Projection | §7 | | The Christological Expansion Vector | §9 | | The Second Adam Harmonic | §10 | | Source Vault | §11 | | Cross-reference Index | §12 | ## Audit notes Audit note: Arithmetic Pass result: `5436 BC ↔ AD 5436` remains classified as the cumulative MT Shem / Noah Mirror state. The `5436 BC` node-class checks as 600 years before the opening member of the `4836–4829 BC` Shem-death / Flood / Arphaxad-birth field: `5436 − 4836 = 600`. The `536 BC/AD` pivot display checks as a dual-side 4900-year display: `5436 − 536 = 4900` and `AD 5436 − AD 536 = 4900`. It is not an ordinary civil midpoint of the direct cross-axis span `5436 BC → AD 5436`, because `5436 + 5436 − 1 = 10871`. Audit note: The `2521 BC` cumulative bridge remains dependency-controlled by File_22 for its origin and full derivation. Its local target arithmetic checks in File_13: `2521 − 1 = 2520 = 1260 + 1260` to `1 BC`, and `2521 + 30 − 1 = 2550 = 1290 + 1260` to AD 30. Audit note: The Source Vault quotation is preserved as source-history and authorial interpretation. It should not replace arithmetic controls. Audit note: Article-derived day-year material is used only for File_13 clarification. The full article apparatus should not be imported unless a later section intentionally expands it. ## Unresolved issues No current item requires a substantive author decision. | Issue | Status after Finalization | |---|---| | `5436 BC ↔ AD 5436` pivot mechanics | Closed for File_13 arithmetic. It remains a dual-side 4900-year pivot display inside the cumulative MT Shem / Noah Mirror state. If later promoted beyond display / coordinate-completion, a dedicated Mirror-control dependency should define the broader protocol. | | `2521 BC` cumulative bridge | Local target arithmetic checks, but the origin and full derivation remain dependency-controlled by File_22. | | Full Nativity article derivation | Source-history support only. The full article apparatus is not imported into File_13. | | Full Passion astronomy / Friday lunar Passover proof | Source-control dependent; not locally proved. | | File_43 final status | Closed by current File_43 final cross-file update. File_13 treats File_43 terms as dependency controls and preserves the final File_43 locks: MattSpan_BirthHinge, MattSpan_Carrier, the 2876 BC head bracket, MirrorVolume `8050`, expansion `8750`, Seal700, double-generational knot as compositional only, and the P2 non-straddling guard. | ## Revision and archive note This public-clean Markdown source removes only archival amendment history, pass logs, pressure-test repetition, pointer-refresh records, and obsolete replacement-workflow notes. Detailed revision history is preserved in the `Repository_Change_Archive`. No arithmetic, anchors, modal states, node-classes, sign conventions, operators, slash-pairs, ranges, envelopes, Mirror protocols, Machine Guards, claim-status labels, theological claims, or dependency boundaries are changed. Final pressure-test status is preserved in the file header. Detailed pressure-test records are archived rather than repeated in the public file body.