STITCHED EDITION: v10.1 + File_50 Series Integration (Naturalized Grid System & Bipartite Grid Landing) Purpose: Single self-contained context window for a fresh chat restart (no dependence on prior messages). Scope: Regular (MT/SP/LXX), Cumulative (MT/SP/LXX), SKL/Berossus lattice, Prime-Lattice integration (A007530), Naturalized Grid System and Bipartite Grid Landing (File_50 series), and the operators/constants required to compute/validate the inlined locks; any non-inlined prime operators/rows are explicitly tagged as ‘DEFINED IN PRIME FILES 29–41’ (for pre-File_50 operators) or ‘DEFINED IN FILE_50 SERIES’ (for extended naturalized data) and therefore non-executable in a zero-history restart. Logic Engine: §1–§6 (operators, baselines, cumulative, SKL/Berossus, verification, query recipe) Prime System: §1.18 (interface/constraints) + §7 (axioms/architecture) + Appendix A (Master Prime Table + validation) + §8 (Naturalized Prime System / File_50 series) Counting convention: Civil BC/AD with no year 0, unless explicitly stated otherwise. Civil-span identity (no year 0):
$$\text{BC}+\text{AD}-1=\text{Total}.$$
NOTE: This is the PRIME-EXTENDED capsule (v10.2). §8 is authoritative for all Naturalized Grid, Bipartite Landing, and File 50-series operations.
0) NON-NEGOTIABLE OPERATING RULES (repository rules)
If a computation requires an operator/row tagged ‘DEFINED IN PRIME FILES 29–41’, stop and report ‘dependency not present in restart capsule’ (do not infer).
No invention / no guessing. Use only operators/constants defined herein. If something is not defined here, mark it “defined in prerequisite file” and do not infer.
Deterministic math. Dates are integers or x.5 decimals. No rounding unless explicitly stated.
Dual-state preservation. If a node has multiple valid modal states, preserve and compute all states.
No blanks / no placeholders. Replace all placeholders with explicit definitions or explicit dependency notes.
Audit-first. If two values conflict, do not choose—classify as modal states (Base vs Envelope / Normal vs Harmonic) per the rules below.
0.1 PRESSURE-TEST SPLICE: ALLOWED NUMBER TYPES (hard rule; additive)
All internal calculations use exact rationals and exact halves only:
- Integers: $k$
- Halves: $k+\frac{1}{2}$ (may be printed as “.5” only)
- Exact rationals (e.g., $25/23,\ 70/69,\ 300/299,\ 23/40$)
No decimal floats are permitted other than the literal print form “.5”.
0.2 PRESSURE-TEST SPLICE: DISPLAY-ONLY INTEGERIZATION (no computational rounding)
Define a single display operator:
$$\mathrm{DispInt}(x):=\lfloor x\rfloor.$$
Rules:
- DispInt is permitted only for printing tables.
- No rounding is allowed in computation.
- If an envelope yields a half, preserve it internally; apply DispInt only at final display.
1) LOGIC ENGINE (OPERATORS, CONSTANTS, LOCKS)
1.1 FIXED EPOCH (anchors; matrix variants disabled after this boundary)
| Event | Date (BC) | Notes |
|---|---|---|
| Exodus (Primary) | 1446 | fixed anchor |
| Exodus (Subordinate Lens) | 1231 | Ramesside/Late-Date lens (non-replacement; §1.15) |
| Tabernacle | 1445 | — |
| Aaron birth | 1529 | optional (+0.5) Tishri shift formalized by $L$ (§1.10) |
| Moses birth | 1526 | Nisan/Spring trunk anchor |
| Aaron death | 1407 | summer |
| Moses death / Conquest begins | 1406 | winter / start |
| Six years’ war | 1406–1400 | 6 years |
| First Sabbath year (land rests) | 1399 | — |
| Joshua death | 1366 | age 110 |
1.2 UNIVERSAL FOUR-POSITION MATRIX (Adam → Terah epoch)
Baseline = MT Minimum. Derive positions:
| Position label | Variants applied | Net add | Example (MT Creation endpoint 3899 BC) |
|---|---|---|---|
| Minimum | none | 0 | 3899 |
| Terah (+60) | +60 only | +60 | 3959 |
| Sojourn (+215) | +215 only | +215 | 4114 |
| Maximum | (+60) and (+215) | +275 | 4174 |
Sequential gap note: $215-60=155.$
Epoch scope (where variants apply):
| Epoch | Range | Active variants |
|---|---|---|
| Adam → Terah’s death | Creation → (~)1816 BC (MT/LXX) or 1876 BC (SP) | full matrix (+0,+60,+215,+275) |
| Abraham → Levi’s death | 1951–1567 BC (minimum) | (±215) only |
| Aaron birth onward | 1529 BC → | fixed |
1.3 CREATION DATES BY TRADITION (Regular / Minimum Baselines)
Definition (scope): The values below are the Minimum Creation Endpoints (end of Creation week) for each tradition. The Universal Four-Position Matrix (§1.2: +0, +60, +215, +275) applies to each baseline individually.
| Tradition | Creation endpoint | Relationship |
|---|---|---|
| MT | 3899 BC | baseline |
| SP (Normal / Toggle ON) | 4199 BC | MT (+300) |
| LXX | 5279 BC | MT (+1380) |
Gap architecture (locked checks):
$$4199-3899=300,\quad 5279-4199=1080,\quad 5279-3899=1380=300+1080.$$
Scope Rule (CRITICAL): “MT (+1380)” is an endpoint gap only (Creation-endpoint alignment). It must not be used as a blanket transform for Flood or post-Flood nodes; those must be computed from the internal LXX tables (§2.3).
1.3a CREATION WEEK WRAPPER, YEAR-6 ANCHORS, AND OPERATIONAL DEFAULTS
(A) Creation Week wrapper (table convention; day–year extension)
For any tradition/baseline with Creation endpoint $CE$ (the year label at the end of the Creation week), define the Creation Week wrapper as a 7-year block:
Interval semantics (hard): $\mathrm{CW}(CE)$ denotes the half-open span $[CE, CE+7)$ in year-units.
$$\mathrm{CW}(CE) := [CE+7 \rightarrow CE]$$
printed in tables as: Creation Week “Birth” = $CE+7$, Creation Week “Death” = $CE$, Length = 7.
Literal-days placement: The literal 7-day creation week is placed inside the endpoint year label $CE$ for civil-year tables.
(A2) Creation-Week Day-6 year label
$$\mathrm{CW6}(CE):=CE+2.$$
Thus: $\mathrm{CW6}(\text{MT})=3901$, $\mathrm{CW6}(\text{SP})=4201$, $\mathrm{CW6}(\text{LXX})=5281$ BC.
Disambiguation rule: $\mathrm{CW6}(CE)$ is the Creation-Week Day-6 label inside the schematic wrapper, and must not be conflated with the prime/chronology Year-6 anchor.
(B) Prime/chronology Year-6 anchor (critical; high-frequency node)
$$Y6_{\text{start}}(CE) := CE + 217.$$
Thus:
$$Y6_{\text{start}}(\text{MT})=4116,\quad Y6_{\text{start}}(\text{SP})=4416,\quad Y6_{\text{start}}(\text{LXX})=5496\ \text{BC}.$$
Interpretation: $Y6_{\text{start}}$ is the year in which animals and Adam are created (Day-6).
Apparent-age marker (display-only node):
$$\mathrm{AdamApp30}(T):=[Y6_{\text{start}}(T)+30 \rightarrow Y6_{\text{start}}(T)]$$
e.g., MT: $[4146 \rightarrow 4116]$ BC.
(C) Operational default vs baseline
Baseline endpoints ($CE$): The tables list the Minimum Creation endpoints ($CE\in{3899,4199,5279}$) because they are the base states required to generate the full Four-Position Matrix (§1.2) deterministically.
Operational-default Creation anchors (high-use): Unless explicitly stated otherwise, Creation-phase harmonic targeting defaults to the prime/chronology Year-6 anchors: ${4116,4416,5496}$ BC.
Matrix generation reminder: From each baseline $CE$, the four matrix endpoints are produced by: $(0) + 60 + 155 + 60$, yielding ${CE,\ CE+60,\ CE+215,\ CE+275}$ for each tradition.
1.4 ENTRY DUALITY (baseline vs functional super-anchor; explicit rule)
Two states must be preserved:
- Baseline Entry (Minimum): $E_{\min}=1661$ BC (215-year Egypt span)
- Functional Super-Anchor (Entry +215 lens): $E_{\max}=E_{\min}+215=1876$ BC.
Rule: never substitute 1876 for baseline 1661; use 1876 as convergence/super-anchor while retaining 1661 as minimum calculation state.
1.4a: ABRAHAM CALL (+215 LENS) NODE (additive)
$$A_{\text{Call},+215} := 2091\ \text{BC} = 1876 + 215.$$
DISAMBIGUATION (HARD): The civil label “1876 BC” is used for multiple tagged nodes in different epochs. Treat them as distinct identifiers even if the year label coincides. Rule: never unify nodes by year label alone; unify only by (tag + epoch + mode).
1.5 SHEM (±2) ANOMALY (localized vs propagating)
Regular chronology (localized): anomaly affects Noah and Shem only.
- MT/LXX (exclusive norm): Noah side (−2) vs Shem side (+2) ⇒ opposite-direction, see §2.4.
- SP Toggle-ON (inclusive boundary): preserves Shem’s +2 while compressing Noah’s −2 to a +1 label shift (see §1.7a, §2.4).
Cumulative chronology (propagating): ±2 propagates through the chain and contributes to the envelope defined in §1.11.
Cosmic scaling: The Shem ±2 anomaly scales to ±720 years via the Sumerian year constant ($2 \times 360 = 720$); see §8.8.1 for the full fractal derivation.
1.6 2ND CAINAN SWITCH (Luke 3:36 / LXX Gen 11)
When restoring Cainan to MT/SP:
| Mode | Add value | Meaning |
|---|---|---|
| Regular | +130 | begetting-age insertion |
| Cumulative | +460 | lifespan insertion |
LXX already includes 2nd Cainan in baseline (no adjustment).
1.7 SP TOGGLE LOGIC (“inclusive reckoning”; (-1) year through the Flood)
- SP Ideal: 4200 BC.
- SP Normal (Toggle ON): 4199 BC (= 4200 − 1), standard for FILE_18.
- Toggle ON “(-1) year” effect applies through the Flood; post-Flood resumes standard intervals.
- Shem pivot / superposition: Shem legitimately appears as 2990/2991 BC and 2390/2391 BC.
1.7a PRESSURE-TEST SPLICE: SP ANOMALY PROTOCOL (sealed; additive)
In SP Toggle-ON (antediluvian domain only):
$\mathrm{Anom}{SP}(\text{Noah}) := +1$ and $\mathrm{Anom}{SP}(\text{Shem}) := +2$.
Post-Flood (Toggle OFF): revert to the standard (±2) Shem anomaly rule (see §2.4).
1.8 KINGS OF JUDAH DUAL-LEDGER +50 (Jubilee Expansion)
Historical anchor: $1446-480=966$ BC. Schematic harmonic: $1446-430=1016$ BC. Offset operator: $J_{50}:=1016-966=50.$
Dual-Ledger Rule:
- Actual (Historical): sums reigns with co-regencies to match secular history.
- Verbatim (Schematic): sums reigns without co-regency deduction.
1.9 ARK WARNING NODE
Node definition: the 120-year warning (Gen 6:3).
$$\text{ArkWarning}=\text{Flood}+120.$$
1.9a PRESSURE-TEST SPLICE: ARK WARNING DOMAIN (sealed; explicit inclusion/exclusion)
Enabled domains: MT Regular Flood, SP Regular Flood, LXX Regular Flood, MT Cumulative Mode A Flood, MT Cumulative Mode B anchor.
Excluded domains: SKL tiers, Berossus tiers, Babel/Kish objects.
1.10 OPERATOR (L) (Luminary Protocol; Aaron vs Moses)
$$L:=3+\tfrac{1}{2}=3.5\ \text{years}.$$
Integer gap: 1529→1526 = 3 years (historical); phase gap: $L=3.5$ years (Tishri↔Nisan harmonic). These are distinct representations.
1.11 “7-YEAR ENVELOPE” (normalized idiom vs spread)
(A) Normalized biblical idiom: EnvNorm = 7 years (Nisan→Nisan idiom).
(B) Physical/spread envelope: EnvSpread = 7.5 years (allows Tishri↔Nisan phase offset).
(C) Computation rule (hard): All arithmetic uses EnvSpread = 7.5 when envelope width is required. EnvNorm = 7 is a label only.
(D) Table rule (hard): Tables may print either but must label which representation is printed.
1.11a HINGE LOCK + DUAL-ANCHOR GROOVE (repository fulcrum; additive)
Hinge Lock: Pivot datum: Dec. 31, 1 BC → Jan. 1, AD 1 (Western civil hinge), tradition-tagged as Christ’s Day-8 circumcision. Mid-bridge in both the mod-30 quad mirror and mod-210 sextuplet traverse: 90 + 30 + 90 = 210. Schematic rendering: Tishri → Nisan = 7×30 = 210 days (360-day mapping).
Second-Adam Dual-Anchor (sealed):
- 7-year block start: Nisan 6 BC → Nisan AD 2 (7y).
- Year-6 phase: Nisan 1 BC → Nisan AD 1.
- Traditional placement: conception at spring/Nisan 1 BC, birth at Dec. 25, 1 BC. Pivot datum at Day-8 circumcision.
- 6 BC = block-start framing; 1 BC/AD 1 = Year-6/pivot framing.
John Offset Groove (sealed): John is the +6-month counter-phase: Tishri 7 BC → Tishri AD 1 (7y). Creation analogue: 3906 Nisan→3899 Nisan BC paired with 3907 Tishri→3900 Tishri BC.
1.12 SP SPECIAL LOCKS
1.12.1 SP Noah begetting “502(*)” and month-boundary rule:
SP Flood: 2892 BC. Noah birth: $2892+600=3492$ BC. Integer gap: $3492-2991=501$.
Month-boundary toggle: retain both valid states: 501 = integer gap state; 502 = ordinal/textual age state.
1.12.2 SP Terah “145 (205 ideal)” — Terah Dual-Lock:
- Normal (145): literal SP text.
- Ideal (205): architectural shadow lifespan matching MT.
1.12.3 Operator $H_{1000}$ (1000-Year Harmonic):
$$H_{1000}:=1000\ \text{years}.$$
Frames: 100 (Shem’s age at Arphaxad) → 1000 (millennial bridge) → 100 (Abraham’s age at Isaac).
1.13 HEZEKIAH PROTOCOL (Units-as-Time axiom)
Rule: numeric units can function as temporal scalars in defined contexts.
- 185,000 slain soldiers ⇒ 185,000 prophetic years.
- Dial of Ahaz: 10 degrees ⇒ 720 years (precession-linked).
1.14 KEY OF 23 RATIOS (numeric definitions sealed)
$$K_{23}^{(336)}:=\frac{25}{23} \quad \text{(Priestly / Ring)}$$
$$K_{23}^{(360)}:=\frac{70}{69} \quad \text{(Prophetic / Pinion)}$$
$$K_{23}^{(364)}:=\frac{300}{299} \quad \text{(Enochian / Spider)}$$
1.14a PRESSURE-TEST SPLICE: A-SPACE + CIVIL TRANSFORMS + SCALING (sealed; additive)
A-space definition: $A=1$ corresponds to AD 1; $A=0$ corresponds to 1 BC; $A=-1$ corresponds to 2 BC.
Civil → A: If civil is AD $y$: $A=y$. If civil is BC $y$: $A=1-y$.
A → civil: If $A\ge 1$: output AD $A$. If $A\le 0$: output BC $(1-A)$.
Scaling scope rule (CRITICAL):
- Coordinate scaling (absolute year labels): MUST occur in A-space only.
- Span scaling (durations/differences): permitted directly (no A-space transform required).
1.14b PRESSURE-TEST SPLICE: SOTHIC DRIFT FACTOR
$$K_{\text{Sothic}}:=\frac{23}{40} \quad\Rightarrow\quad 400\times\frac{23}{40}=230.$$
1.15 SUBORDINATE EXODUS ANCHOR (lens operator; non-replacement)
$$E_{\text{primary}}=1446\ \text{BC}, \quad E_{\text{sub}}=1231\ \text{BC}.$$
Rule: use 1231 BC only when calculating the specified prophetic mirror track.
1.16 FILE_11 — THREE-GEAR PROTOCOL & HARMONIC ENGINE (fully inlined)
1.16.1 Sliding Gear Axiom
Gear Definitions:
$$G_1=0,\quad G_2=+2,\quad G_3=+4.$$
Incremental: $\Delta G_{3|2}=G_3-G_2=+2.$
Tags: Gear 1 (Japheth): Base/Minimum/”Left Turn.” Gear 2 (Shem): Covenant/”Straight Path.” Gear 3 (Ham): Extension/Maximum/”Right Turn.”
1.16.2 Directional Protocols
Theorem 2.1 — Left Turn (Gear 1 / Japheth):
$$A_{\text{Left}}=2456\ \text{BC}.$$
Path A (Priestly): $1656\times(25/23)=1800$, $2456+1800=4256$ BC. Path B (Prophetic): $1656\times(70/69)=1680$, $2456+1680=4136$ BC.
Theorem 2.2 — Right Turn (Gear 3 / Ham):
$A_{\text{Right}}=4176$ BC. Target: 1446 BC.
$$4176-1446=2730=7.5\times 364=7\times 390.$$
1.16.2a PRESSURE-TEST SPLICE: FLOOD DISAMBIGUATION & RAILS (sealed)
Disambiguation Rule (HARD): “Flood” is not a single node. Preserve:
- Flood_Regular(T): MT 2243; SP 2892; LXX 3023.
- Flood_GearRail: 2456/2458/2460.
- CumFlood_A: 4831 BC (§3.1).
- CumFlood_B_anchor / CumFlood_B_epoch: 5291; 5296–5289 (§3.1a).
Gear Rail Anchors: $A_{\text{Left}} := 2456$; $A_{\text{Straight}} := 2458$; $A_{\text{RightRail}} := 2460$.
1.16.3 Theorem of the Gap (301 / 299 / 300):
- Structural Gap: 301 (SP Gear 2 ↔ MT Gear 2).
- Harmonic Gap: 299 (SP Gear 2 ↔ MT Gear 3).
- Virtual Gap: 300 (“299 Solar → 300 Enochian”).
1.16.4 MT Harmonic Verification — Kenan Sector
Theorem 4.1 — The Kenan Lock (1830): Start from MT Kenan minimum (3574 BC). Apply: $3574+215=3789$. Then: $3789+130+2=3921$. Remove: $3921-215=3706$. Result: $3706-1876=1830$. Checksums: $910+460+460=1830$, $5\times 360+30=1830$.
Theorem 4.2 — Double Cainan Bridge: $11721-3921=7800=60\times 130$; $4391-2091=2300=5\times 460$.
1.16.5 Watcher Harmonics: $9459-4859=4600=10\times 460$; $4600+2300=6900=15\times 460$.
1.16.6 Filling Protocol:
| Cumulative Year | Template Day | Active Gear |
|---|---|---|
| 11721 BC | Day 4 | Gear 3 |
| 11719 BC | Day 6 | Gear 2 |
| 11717 BC | Day 7 | Gear 1 |
1.16.7 Kenan Death Mirror: $10814+10347-1=21160$. Conversion: $21160\times(25/23)=23000=10\times 2300$.
1.16.7a PRESSURE-TEST SPLICE: $K_A := 10814$, $K_B := 10347$. Locked: $K_A + K_B – 1 = 21160$. Then $21160 \times (25/23) = 23000$.
1.16.8 SP locks:
- 1656 rest lock: $4414-2758=1656$.
- SP bridge: $13398-4198=9200$; $9200\times(25/23)=10000$; $400\times(23/40)=230$.
1.16.8a PRESSURE-TEST SPLICE: $\mathrm{SP_Cre}_{+215} := 4414$; $\mathrm{SP_RestLockNode} := 2758$.
1.17 RESOLUTION PATCH (modal-state rules)
1.17.1 MT Cumulative Jared: $J_{\text{base}} = 9454$ BC; $J_{\text{span}} = [9459 \rightarrow 9452]$ BC; $J_{\text{upper}} = 9459$ BC.
1.17.2 Cumulative 2nd Cainan: $C2_{\text{birth}}={4853\ (\text{base}),\ 4859\ (\text{upper})}$; $C2_{\text{death}}={4393\ (\text{base}),\ 4391\ (\text{lower})}$.
1.17.3 SP Creation anchors: SP primary = 4199; SP harmonic = 4198.
1.18 PRIME LATTICE INTERFACE (A007530)
1.18.1 Definitions: $P_n$ = ordinal index; $Q_n$ = quadruplet start value.
1.18.2 Modulo-30 Law: Exceptional start: $Q_1=5$. For all $n>1$: $Q_n\equiv 11\pmod{30}$.
1.18.3 Physical/Apparent rail generation:
$$B_n := Q_n-5 \quad \text{(Base/Physical)}$$ $$M_n := Q_n+25 \quad \text{(Mirror/Apparent)}$$ $$M_n-B_n=30.$$
1.18.4 Canonical anchor whitelist for PRIME VECTORS:
Prime Creation anchors: MT 4116 BC; SP 4416 BC; LXX 5496 BC. Epochal anchors: 2456 BC; 1876 BC; 1446 BC; 1406 BC. Messianic anchors: 6 BC; 1 BC; AD 25; AD 33. Restoration anchors: 536 BC; 486 BC.
Guard (hard): A value may be a valid Appendix A Target yet remain non-whitelisted for prime-vector anchoring.
1.18.5 Span policy: Prime spans $S$ are treated as locked constants. Validation is permitted but failures must be preserved as modal/out-of-band.
2) REGULAR (HISTORICAL) CHRONOLOGIES — BASELINE TABLES
2.1 MT REGULAR BASELINE (Minimum)
Anchors: Exodus 1446 BC; Entry 1661 BC (baseline)
2.1.1 Creation → Flood (MT Minimum)
| Patriarch/Event | Birth (BC) | Death (BC) | Lifespan | Begetting |
|---|---|---|---|---|
| Creation Week | 3906 | 3899 | 7 | — |
| Adam | 3899 | 2969 | 930 | 130 |
| Seth | 3769 | 2857 | 912 | 105 |
| Enosh | 3664 | 2759 | 905 | 90 |
| Kenan | 3574 | 2664 | 910 | 70 |
| Mahalalel | 3504 | 2609 | 895 | 65 |
| Jared | 3439 | 2477 | 962 | 162 |
| Enoch | 3277 | 2912 | 365 | 65 |
| Methuselah | 3212 | 2243 | 969 | 187 |
| Lamech | 3025 | 2248 | 777 | 182 |
| Noah | 2843 | 1893 | 950 | 500 |
| FLOOD | 2243 | 2242 | 1 | — |
2.1.2 Post-Flood → Terah (MT Minimum)
| Patriarch/Event | Birth (BC) | Death (BC) | Lifespan | Begetting |
|---|---|---|---|---|
| Shem | 2341 | 1741 | 600 | 100 |
| Arphaxad | 2241 | 1803 | 438 | 35 |
| Shelah | 2206 | 1773 | 433 | 30 |
| Eber | 2176 | 1712 | 464 | 34 |
| Peleg | 2142 | 1903 | 239 | 30 |
| Reu | 2112 | 1873 | 239 | 32 |
| Serug | 2080 | 1850 | 230 | 30 |
| Nahor | 2050 | 1902 | 148 | 29 |
| Terah | 2021 | 1816 | 205 | 70/130 |
| Abraham | 1951 | 1776 | 175 | — |
| Isaac | 1851 | 1671 | 180 | 60 |
| Jacob | 1791 | 1644 | 147 | 90/130 |
| Levi | 1704 | 1567 | 137 | — |
2.2 SP REGULAR BASELINE (Minimum)
2.2.1 Creation → Flood (SP Normal / Toggle ON)
| Patriarch/Event | Birth (BC) | Death (BC) | Lifespan | Begetting |
|---|---|---|---|---|
| Creation Week | 4206 | 4199 | 7 | — |
| Adam | 4199 | 3269 | 930 | 130 |
| Seth | 4069 | 3157 | 912 | 105 |
| Enosh | 3964 | 3059 | 905 | 90 |
| Kenan | 3874 | 2964 | 910 | 70 |
| Mahalalel | 3804 | 2909 | 895 | 65 |
| Jared | 3739 | 2892 | 847 | 62 |
| Enoch | 3677 | 3312 | 365 | 65 |
| Methuselah | 3612 | 2892 | 720 | 67 |
| Lamech | 3545 | 2892 | 653 | 53 |
| Noah | 3492 | 2542 | 950 | 502(*) |
| FLOOD | 2892 | 2891 | 1 | — |
2.2.2 Post-Flood (SP)
| Patriarch/Event | Birth (BC) | Death (BC) | Lifespan | Begetting |
|---|---|---|---|---|
| Shem | 2991/2990 | 2391/2390 | 600 | 100 |
| Arphaxad | 2891 | 2453 | 438 | 135 |
| Shelah | 2756 | 2323 | 433 | 130 |
| Eber | 2626 | 2222 | 404 | 134 |
| Peleg | 2492 | 2253 | 239 | 130 |
| Reu | 2362 | 2123 | 239 | 132 |
| Serug | 2230 | 2000 | 230 | 130 |
| Nahor | 2100 | 1952 | 148 | 79 |
| Terah | 2021 | 1876 | 145 (205 ideal) | 70 |
| Abraham | 1951 | 1776 | 175 | — |
2.3 LXX REGULAR BASELINE
Creation endpoint = 5279 BC. Flood = 3023 BC.
| Patriarch/Event | Birth (BC) | Death (BC) | Notes |
|---|---|---|---|
| Creation Week | 5286 | 5279 | 7 years |
| Adam | 5279 | 4349 | 930 |
| Seth | 5049 | 4137 | 912 |
| Enosh | 4844 | 3939 | 905 |
| Kenan | 4654 | 3744 | 910 |
| Mahalalel | 4484 | 3589 | 895 |
| Jared | 4319 | 3357 | 962 |
| Enoch | 4157 | 3792 | 365 |
| Methuselah | 3992 | 3023 | 969 |
| Lamech | 3805 | 3028 | 777 |
| Noah | 3623 | 2673 | 950 |
| FLOOD | 3023 | 3022 | 1 |
| Shem | 3121 | 2521 | 600 |
| Arphaxad | 3021 | 2556 | 465 |
| 2nd Cainan | 2886 | 2426 | 460 |
| Shelah | 2756 | 2296 | 460 |
| Eber | 2626 | 2122 | 504 |
| Peleg | 2492 | 2253 | 239 |
| Reu | 2362 | 2123 | 239 |
| Serug | 2230 | 2000 | 230 |
| Nahor | 2100 | 1921 | 179 |
| Terah | 2021 | 1816 | 205 |
| Abraham | 1951 | 1776 | converges with MT |
2.4 REGULAR (±2) (Shem anomaly) mapping
| Tradition | Noah (Literal → Ideal) | Shem (Literal → Ideal) |
|---|---|---|
| MT | 2843–1893 → 2841–1891 | 2341–1741 → 2343–1743 |
| SP | 3492–2542 → 3493–2543 | 2991–2391 → 2993–2393 |
| LXX | 3623–2673 → 3621–2671 | 3121–2521 → 3123–2523 |
2.5 BOOK OF JUBILEES (JUB) — HOLOGRAPHIC LENS
Role rule (hard): JUB is a derivative “side-road” projection. Must not overwrite MT/LXX/SP baselines.
JUB Creation = 3856 BC. JUB Flood = 2549 BC.
SP→JUB offsets: $\Delta J_{\text{theol}} = 343 = 7 \times 49$ (Toggle ON); $\Delta J_{\text{math}} = 344$ (Exclusive).
Verification locks: $3856 – 2549 = 1307$; $3856 – 1406 = 2450 = 50 \times 49$; $2548 = 7\times 364$.
2.6 PRIME–CIVIL INTERFACE + NT GENEALOGY BRIDGE + SCALING LAWS
Incarnation / Genealogy Origin Label (P1 vs P2; sealed)
Prime-lattice invariance (hard): All prime-node civil coordinates are rigid.
Allowed (genealogy-only): OriginLabel may be P2-light (6 BC) or P1-hinge (AD 1 / 1 BC).
Guard (hard): OriginLabel affects only derived schematic bracket endpoints and must never modify historically anchored years or prime-node civil coordinates.
Axis mechanics: A-space per §1.14a. Optional Z := A − 1 for genealogy work only.
2.6.1 DISAMBIGUATION GUARDS: Two distinct mapping layers: Prime-Table Mapping (Appendix A) and Prime–Civil Cluster Mapping (this module). Do not reconcile by force.
2.6.2 PRIME–CIVIL CLUSTER MAPPING (P1–P3)
Mandatory notation: every prime symbol MUST carry the Cluster suffix in this subsection.
(A) P2_Cluster: $Q=11 \Rightarrow B=6 \Rightarrow A=-5 \Rightarrow 6$ BC. LOCK: $P2_{\text{Cluster}}(\text{base}) = 6$ BC. Mirror: $A(\text{mirror}) = -5 + 30 = 25 \Rightarrow$ AD 25. LOCK: $P2_{\text{Cluster}}(\text{mirror}) =$ AD 25.
(B) P3_Cluster: $Q=101 \Rightarrow B=96$. $\Delta B = 96-6=90$. $A(\text{base}) = -5 – 90 = -95 \Rightarrow 96$ BC. LOCK: $P3_{\text{Cluster}}(\text{base}) = 96$ BC. Mirror: $A(\text{mirror}) = 25 + 90 = 115 \Rightarrow$ AD 115.
(C) P1_Cluster: Singular pivot. LOCK: $P1_{\text{Cluster}}(\text{pivot}) =$ AD 1. Restored geometry: $A(\text{extension}) = 1 + 30 = 31 \Rightarrow$ AD 31.
2.6.3 JOHANNINE TEMPLE LOCKS:
John 2:20: $20\text{ BC} + 46 =$ AD 27. LOCK: Temple46 = AD 27. John 8:57: $46\times(25/23)=50$; $20\text{ BC}+50=$ AD 31. LOCK: Temple50 = AD 31. Terah mirror: 30 BC ↔ AD 31 = 60 (no year 0).
2.7 NT GENEALOGY BRIDGE (MATTHEW/LUKE)
$$G := 70\ \text{years per generation}.$$
2.7.1 Luke lattice: Names 76 ⇒ $76\times 70 = 5320$. Intervals 75 ⇒ $75\times 70 = 5250$.
Brackets: $6\text{ BC} + 5320 = 5326$ BC (LukeHead). $36\text{ BC} + 5250 = 5286$ BC (CreationDay1). $6\text{ BC} + 5250 = 5256$ BC (ShadowCreationDay1). Rail separation: $5286-5256=30$.
2.7.2 Matthew lattice (corrected; 41-name list; overlap-count = 42):
(A) Name-list bracket: $40\times 70 = 2800$; $6\text{ BC} + 2800 = 2806$ BC (MattAbrahamAnchor). (B) Carrier bracket: $41\times 70=2870$; $2806\text{ BC}\rightarrow$ AD $65 = 2870$. Terminal carrier: $6\text{ BC}\rightarrow$ AD $65 = 70$. (C) Double-knot allowance (non-arithmetic). (D) Head bracket: $2806+70=2876$ BC (MattHead).
Guard (hard): MattSpan_BirthHinge (2800) MUST NOT be replaced by MattSpan_Carrier (2870) in §2.8.
2.7.3 Jubilee bridge: $5326 – 2876 = 2450 = 50\times 49 = 5\times 490$.
2.8 KEY-OF-23 GENEALOGICAL EXPANSION + 700-YEAR SEAL
Mirror-sum volume: $8050 = 5250 + 2800 = 115\times 70$. Priestly expansion: $8050\times(25/23)=8750$; $8750/70=125=5^3$. 700-year seal: $8750-8050=700=10\times 70$.
Applications: $2800+700=3500$; $3500+3500=7000$. Cumulative toggle: $14006-5256=8750$; $14006-(5256+700)=8050$.
2.9 SCALING LAWS (10× / 100× / HEPTADIC RESOLUTION)
2.9.1 10× triad: $5556-4556=1000$; $5256-4556=700$; $5956-5556=400$.
2.9.2 Heptadic Seal: $14004 – 1446 = 12558$. $12558 \times (300/299) = 12600$. $12558 \times (70/69) = 12740$. $12740 \div 26 = 490 = 7 \times 70$.
2.9.3 Flood Gear ladder: $4556\rightarrow 3506\rightarrow 2456\rightarrow 1406$, each step 1050. Deep-time: $14006-3506=10500=10\times 1050$.
2.9.4 Matthean Expansion: $4200 + 700 = 4900 = 10 \times 490$. Bisection: $14006 − 4206 = 9800 = 2 \times 4900$. Enochian mirror: $14000 + 4200 = 18200 = 50 \times 364$.
2.10 SUMMARY TABLE (core machine locks from FILE_42–44)
| Class | Lock | Identity |
|---|---|---|
| Prime–Civil Cluster | P2 base / mirror | 6 BC / AD 25 |
| Prime–Civil Cluster | P1 pivot / extension | AD 1 / AD 31 |
| John Temple | 20 BC + 46 / +50 | AD 27 / AD 31 |
| Luke | 76×70 / 75×70 | 5320 / 5250 |
| Luke heads | 6 BC+5320 / 36 BC+5250 | 5326 BC / 5286 BC |
| Shadow Creation | 6 BC + 5250 | 5256 BC |
| Matthew (birth-hinge) | 40×70; 6 BC+2800; +70 head | 2800; 2806 BC; 2876 BC |
| Matthew (carrier) | 41×70; 2806 BC → AD 65 | 2870; AD 65 |
| Jubilee Bridge | 5326 − 2876 | 2450 = 50×49 |
| Mirror Volume | 5250 + 2800 | 8050 = 115×70 |
| Key-of-23 | 8050×(25/23) | 8750 = 5³×70 |
| 700 Seal | 8750 − 8050 | 700 = 10×70 |
| Flood Gear | 4556→3506→2456→1406 | 1050+1050+1050 |
| Heptadic Seal | 14004−1446 | 12558; ×(300/299)=12600 |
3) CUMULATIVE (ACCUMULATIVE / LONG) MATRIX
3.1 MT CUMULATIVE TRUNK (Anchor: Conquest = 1406 BC; Moses line, Nisan)
Key scalar: $14006-1406=12600=10\times 1260.$
Selected trunk nodes:
| Node | Date (BC) |
|---|---|
| Adam | 14006 |
| Kenan | 11259 |
| Jared (base) | 9454 |
| 2nd Cainan birth (base) | 4853 |
| Flood | 4831 |
| 2nd Cainan death (base) | 4393 |
| Shelah | 4393 |
| Abraham (trunk) | 2435 |
| Abraham (prime-mapped) | 2436 |
| Moses | 1526 |
| Conquest | 1406 |
Envelope modal nodes: Jared upper: 9459. 2nd Cainan birth upper: 4859. 2nd Cainan death lower: 4391.
3.1a: CUMULATIVE FLOOD MODE-B ANCHOR
- Mode A: CumFlood_A := 4831 BC.
- Mode B: CumFlood_B_anchor := $4831 + 460 = 5291$ BC.
- CumFlood_B_epoch := 5296–5289 BC (7-year span).
CUMULATIVE FLOOD MODAL NOTE: CumFlood_A = 4831; CumFlood_H = 4836 (prime-harmonic; do not treat as trunk). Bridge between 4831 and 4836 is DEFINED IN PRIME FILES 29–41.
3.1b Cumulative Harmonic Modalities
(1) CumAdam_H: 14004 BC (within 14006–14004 window; used for Heptadic Seal §2.9.2). (2) Span_Adam→P2Base: $14006 – 6 = 14000$ years (exact BC-only span). (3) Span_4206→P2Base: $4206 – 6 = 4200$ years.
Guard: “14000” and “4200” are spans, not civil-year nodes.
3.2 MT CUMULATIVE + 2ND CAINAN
Adam: $14006\rightarrow 14466$ (+460). Convergence: snaps back at Shelah (4393 BC).
3.3 SP CUMULATIVE (Anchor: Joshua death = 1296 BC)
| Node | Date (BC) |
|---|---|
| Adam | 13398 |
| Flood | 4711 |
| Terah | 2580 |
| Joshua death | 1296 |
3.4 LXX CUMULATIVE + Jubilees Creation Lock
| Node | Date (BC) |
|---|---|
| Adam | 14896 |
| Flood | 5745 |
| Peleg | 3856 |
| Conquest | 1406 |
Jubilees Creation Lock: LXX Cumulative Peleg = 3856 BC = Jubilees Creation 3856 BC.
4) SKL & BEROSSUS INTEGRATION
4.1 Constants (locked)
$72,\ 6480=90\times 72,\ 12960=180\times 72,\ 25920=360\times 72,\ 720=2\times 360.$
$3.5\ \text{days}\times 360=1260\ \text{years}.$
Scale: $360\ \text{Sumerian years}=1\ \text{Biblical year}.$
4.2 50-year Idealistic Shift
$486\ \text{BC}=536+50.$ (486 is computational anchor for Berossus; 536 remains historical.)
4.3 Berossus Flood derivation
$486\ \text{BC}+34{,}080=34{,}566\ \text{BC}.$
4.4 Three-tier Flood matrix (locked; 4-date sets per tier)
- Tier 3 (SKL Lower): 20,886 / 20,916 / 21,606 / 21,636 BC
- Tier 2 (SKL Upper): 27,366 / 27,396 / 28,086 / 28,116 BC
- Tier 1 (Berossus): 33,846 / 33,876 / 34,566 / 34,596 BC
Tier gaps: $34{,}566-28{,}086=6480$; $28{,}086-21{,}606=6480$; $34{,}566-21{,}606=12960$.
Metonic pathway: $34{,}566-20{,}886=13{,}680=12{,}960+720$.
Naturalized Grid integration: The mechanical mapping of prime nodes to these epoch boundaries via the Bipartite Grid Landing Operator is defined in §8.5–8.6.
4.5 Exodus lock
$27{,}366-25{,}920=1{,}446\ \text{BC}.$
4.6 Sanctuary Fractal + Key of 23
$28{,}086-486=27{,}600=12\times 2{,}300$; $27{,}600\times(25/23)=30{,}000$; $30{,}000-27{,}600=2{,}400=2{,}886-486$.
4.7 Babel/Kish rigid 4-point object + 50-year separation
Short: 2906, 2936, 3626, 3656 BC. Long: 2856, 2886, 3576, 3606 BC.
4.8 “23-Kings totals” mapping
$24{,}510-17{,}980=6{,}530=6{,}480+50.$
4.9 Pathway rule
Ideal ⇒ Upper Pixel; Metonic ⇒ Lower Pixel. (+30 is a global mode rail.)
4.10 Berossus mirror check
$33{,}846\ \text{BC}+235\ \text{AD}-1=34{,}080$; $33{,}876\ \text{BC}+205\ \text{AD}-1=34{,}080$.
Primary axis: 34,566 BC ↔ 486 BC. Secondary axis: 33,846 BC ↔ AD 235.
4.11 Apparent Mode (+30)
Physical: (2906 ↔ 536), (2856 ↔ 486). Apparent: (2936 ↔ 566), (2886 ↔ 516).
4.12 Generation protocol
Choose Tradition (Short/Long), Pathway (Ideal/Metonic), Mode (Physical/Apparent). Build: Lower Base → +720 Upper Base → +30 rail; tier moves by ±6480.
5) ARITHMETIC VERIFICATION (core checks)
| From | To | Span | Check |
|---|---|---|---|
| MT min Creation | SP min Creation | 300 | 4199−3899 |
| MT min Creation | LXX min Creation | 1380 | 5279−3899 |
| Entry baseline | Entry super-anchor | 215 | 1876−1661 |
| Entry super-anchor | Exodus | 430 | 1876−1446 |
| Entry baseline | Exodus | 215 | 1661−1446 |
| Entry super-anchor | Exile | 1290 | 1876−586 |
| Cum. Adam | Conquest | 12600 | 14006−1406 |
| FILE_11 Right-Turn | Exodus | 2730 | 4176−1446 |
| FILE_11 Kenan lock | Super-anchor | 1830 | 3706−1876 |
| FILE_11 Mirror | Total | 21160 | 10814+10347−1 |
| FILE_11 Sanctuary | Total | 23000 | 21160×25/23 |
| FILE_11 SP rest lock | Span | 1656 | 4414−2758 |
| FILE_11 SP bridge | Span | 9200 | 13398−4198 |
6) QUERY RECIPE (deterministic machine steps)
- Identify mode: Regular / Cumulative / Cosmic / Prime / Jubilees (derivative).
- Identify tradition: MT / SP / LXX (and SP state where specified).
- Identify epoch: Adam→Terah / Abraham→Levi / fixed.
- Apply allowed operators: matrix; Shem (±2); 2nd Cainan; luminary ($L$); jubilee ($J_{50}$); Key-of-23; gear gates; lattice tier/pixel/pathway/mode; subordinate Exodus lens; prime-lattice rails and locked spans per §1.18 and §7. Jubilees branch: Use JUB anchors (3856 BC; 2549 BC). Apply SP→JUB offset (343 or 344). Verify: $3856-2549=1307$; $3856-1406=2450$; $2548=7\times 364$.
- Deep Time / Naturalized Grid: If the query involves SKL tiers, Berossus projections, or prime targets in the cosmic domain: (a) Compute the naturalized grid value per §8.1. (b) Apply the Bipartite Grid Landing Operator (§8.5) to generate Base + Companion brackets. (c) Cross-check against the Four Lists (§8.11) and the Sparsity Proof (§8.6). (d) For precession-scale validation, apply the Cross-Polarity Taxonomy (§8.8.3).
- Validate using §5, lattice locks (§4), and prime locks (Appendix A; see §7.0–§7.7).
- Preserve modal states explicitly: Jared cumulative: 9454/9459. 2nd Cainan cumulative: birth 4853/4859; death 4393/4391. Cumulative Abraham: 2435/2436. SP creation: 4199/4198. SP Shem: 2990/2991 and 2390/2391. SP Noah: 501/502. SP Terah: 145/205. Entry: 1661/1876. JUB: Creation 3856; Flood 2549. Abraham call (+215): 2091. Prime rails: $B_n=Q_n−5$, $M_n=Q_n+25$. Prime Creation anchors: MT 4116; SP 4416; LXX 5496.
7) PRIME HARMONIC ARCHITECTURE (LATTICE & ORDINALS)
P# identity convention (A007530 / prime-quadruples): A prime-quadruple is {k, k+2, k+6, k+8} with all four primes. $P#$ is the ordinal index. $Q_n$ is the OEIS A007530 term (start of quadruple). $t(P#) := k(P#) + 8$ (terminal; used only when explicitly named).
Signed-mirror coordinate layer: Signed integers as mirror coordinates. All signed-mirror spans computed by plain integer subtraction in ℤ.
Calendar rendering: If $y \le 0$: BC $= 1 – y$. If $y \ge 1$: AD $= y$.
Axis-crossing identity: $\text{BC} + \text{AD} – 1 = \text{total_span}$.
Two-track operator (+30 track): render_track(base) = base; render_track_plus30(base) = base + 30.
Mirror pairing preserving mod-30: {11, 13, 17, 19} ↔ {−19, −17, −13, −11} (reversed order). Each pair differs by 30.
Sextuplets inherit quad mirror logic: 90 + 30 + 90 = 210 is the emergent continuation of the quad mirror rule (mod 30) at the sextuplet lattice’s native modulus (210).
7.0 PRIME LATTICE AXIOMS
7.0.1 Definitions: $B_n := Q_n – 5$ (Base/Physical); $M_n := Q_n + 25$ (Mirror/Apparent); $M_n – B_n = 30$.
Rail-use note: Some targets (notably P92) are computed on the M-rail using $T_{BC}=M-S$.
7.0.1.a RAIL GEOMETRY: Rails are raw integers. Civil dates are NOT read from B/M. Civil targets are produced only by locked S + TargetRule.
7.0.1.b P2 DUAL-OPERATOR PROTOCOL:
- Quad-window operator: $M – B = 30$; for P2: $B=6$, $M=36$ → 36 BC ↔ 6 BC.
- Mod-30 bridge operator: $A(\text{mirror}) = A(\text{base}) + 30 = -5 + 30 = 25 \Rightarrow$ AD 25.
Guard: “36 BC ↔ 6 BC” is a rail artifact; “6 BC ↔ AD 25” is an A-space artifact. Separate operators.
7.0.2 Mod-30 Law: For $n>1$: $Q_n \equiv 11 \pmod{30}$. Exceptional: $Q_1=5$.
P1 boundary note: P1’s natural mirror candidate (−23) yields 28-step (not 30). Restored geometry uses (−25) so that $5 – (-25) = 30$.
7.0.3 Prime-table sealing policy: Span $S$ is a stored locked constant. Authority order: $Q, B, M, S,$ Target, TargetRule are authoritative. “Formula/Theme” is descriptive only.
7.0.4 Deterministic TargetRule: Each row specifies exactly one:
- $T_{BC} = B – S$
- $T_{BC} = M – S$
- $T_{AD} = (S – B) + 1$
- $T_{AD} = (S – M) + 1$
Exceptions: Rows tagged EXCEPTION or sealed as lookup.
7.0.5 Duplicate ordinals: Must be labeled P23-A/P23-B, P26-A/P26-B, P46-A/P46-B, P92-A/P92-B/P92-C.
7.1 PRIME CREATION ANCHORS (C6–G2 harmonic anchors)
$$C6\text{–}G2(\text{Tradition}) = CE^*(\text{Tradition}) + 215 + 2$$
MT: $3899+215+2=4116$ BC. SP: $4199+215+2=4416$ BC. LXX: $5279+215+2=5496$ BC.
APPENDIX A: Selected Locked Rows + Verification Locks
Scope note: Lists only rows explicitly invoked by §7.2–7.7 locks. Rows not shown are DEFINED IN PRIME FILES 29–41.
| Prime | Q | B | M | S | Target | TargetRule | Theme |
|---|---|---|---|---|---|---|---|
| P1-A | 5 | 0 | 30 | (defined) | AD 1 | lookup | Singularity |
| P2-A | 11 | 6 | 36 | 3600 | 3606 BC | EXCEPTION: B+S | Cosmic Square |
| P3-A | 101 | 96 | 126 | 90 | 6 BC | B−S | Prophetic Season |
| P4-A | 191 | 186 | 216 | 1440 | 1446 BC | lookup | Exodus |
| P5-A | 821 | 816 | 846 | 1250 | 2066 BC | EXCEPTION: B+S | Isaac |
| P6-A | 1481 | 1476 | 1506 | 14610 | 1446 BC | lookup | Exodus (Wilderness) |
| P7-A | 1871 | 1866 | 1896 | 490 | 1406 BC | M−S | Conquest |
| P8-A | 2081 | 2076 | 2106 | 2100 | 6 BC | M−S | Tri-Seal |
| P9-A | 3251 | 3246 | 3276 | 2300 | 946 BC | B−S | Solomon |
| P10-A | 3461 | 3456 | 3486 | 1000 | 2456 BC | B−S | Flood (Gear 1) |
| P11-A | 5651 | 5646 | 5676 | 4200 | 1446 BC | B−S | Exodus (Joseph) |
| P12-A | 9431 | 9426 | 9456 | 7000 | 2456 BC | M−S | 7 Millennia |
| P13-A | 13001 | 12996 | 13026 | 10140 | 2856 BC | B−S | Babel |
| P14-A | 15641 | 15636 | 15666 | 11760 | 3906 BC | M−S | Creation Week |
| P15-A | 15731 | 15726 | 15756 | 15750 | 6 BC | M−S | Incarnation |
| P16-A | 16061 | 16056 | 16086 | 14610 | 1446 BC | B−S | Sothic Exodus |
| P17-A | 18041 | 18036 | 18066 | 18060 | 6 BC | M−S | 430×42 Stations |
| P18-A | 18911 | 18906 | 18936 | 19440 | AD 535 | (S−B)+1 | Restoration Mirror |
| P19-A | 19421 | 19416 | 19446 | 18050 | 1366 BC | B−S | Joshua Death |
| P20-A | 21011 | 21006 | 21036 | 19600 | 1406 BC | B−S | Conquest (Jubilee Sq) |
| P21-A | 22271 | 22266 | 22296 | 22050 | 216 BC | B−S | Cube of Man |
| P22-A | 25301 | 25296 | 25326 | 25300 | 26 BC | M−S | Sanctuary Twin |
| P23-A | 31721 | 31716 | 31746 | 31740 | AD 25 | (S−B)+1 | Messiah Prime |
| P23-B | 31721 | 31716 | 31746 | 27600 | 4116 BC | B−S | MT Creation Lock |
| P24-A | 34841 | 34836 | 34866 | 34300 | 536 BC | B−S | Sabbath Law |
| P25-A | 43781 | 43776 | 43806 | 43830 | AD 25 | (S−M)+1 | Mosaic-Christ |
| P26-A | 51341 | 51336 | 51366 | 50700 | 666 BC | M−S | Beast Lock (BC) |
| P26-B | 51341 | 51336 | 51366 | 52000 | AD 666 | lookup | Beast Lock (AD) |
| P27-A | 55331 | 55326 | 55356 | 50000 | 5326 BC | B−S | Luke Head Lock |
| P28-A | 62981 | 62976 | 63006 | 64400 | AD 1406 | lookup | Tabernacle Mirror |
| P29-A | 67211 | 67206 | 67236 | 66700 | 536 BC | M−S | Cyrus Decree |
| P30-A | 69491 | 69486 | 69516 | 69000 | 516 BC | M−S | Temple Complete |
| P31-A | 72221 | 72216 | 72246 | 71300 | 946 BC | M−S | Solomon |
| P32-A | 77261 | 77256 | 77286 | 73600 | 3656 BC | B−S | MT Watchers |
| P33-A | 79691 | 79686 | 79716 | 75900 | 3786 BC | B−S | Gear 3 Watchers |
| P34-A | 81041 | 81036 | 81066 | 78200 | 2836 BC | B−S | Babel |
| P35-A | 82721 | 82716 | 82746 | 80500 | 2216 BC | B−S | Abrahamic Pivot |
| P36-A | 88811 | 88806 | 88836 | 82800 | 6006 BC | B−S | Creation Capstone |
| P37-A | 97841 | 97836 | 97866 | 95830 | 2006 BC | B−S | Jacob (Israel) |
| P38-A | 99131 | 99126 | 99156 | 101080 | AD 1948 | lookup | Modern Israel |
| P39-A | 101111 | 101106 | 101136 | 100100 | 1006 BC | B−S | David |
| P40-A | 109841 | 109836 | 109866 | 112000 | AD 2165 | (S−B)+1 | Abraham Mirror |
| P41-A | 116531 | 116526 | 116556 | 115989 | 537 BC | B−S | Exile Terminus |
| P42-A | 119291 | 119286 | 119316 | 123480 | AD 4195 | (S−B)+1 | 42nd Generation |
| P43-A | 122201 | 122196 | 122226 | 129430 | AD 7205 | (S−M)+1 | Daniel 12 Extension |
| P44-A | 135461 | 135456 | 135486 | 135520 | AD 33 | lookup | Christ’s Death |
| P45-A | 144161 | 144156 | 144186 | 141750 | 2436 BC | M−S | Cumulative Abraham |
| P46-A | 157271 | 157266 | 157296 | 158700 | AD 1406 | lookup | LXX Master |
| P46-B | 157271 | 157266 | 157296 | 153180 | 4116 BC | M−S | MT Creation Lock |
| P47-A | 165701 | 165696 | 165726 | 165600 | 96 BC | B−S | Sextuplet 210-Anchor |
| P48-A | 166841 | 166836 | 166866 | 161280 | 5556 BC | B−S | LXX Adam |
| P49-A | 171161 | 171156 | 171186 | 168070 | 3116 BC | M−S | Noah (Rest Lock) |
| P50-A | 187631 | 187626 | 187656 | 187656 | 1876 BC | lookup | Jubilee Capstone |
| P69-A | 295871 | 295866 | 295896 | 292560 | 3336 BC | M−S | Shem Birth (LXX) |
| P92-A | 420851 | 420846 | 420876 | 416760 | 4116 BC | M−S | MT Creation (C6–G2) |
| P92-B | 420851 | 420846 | 420876 | 415380 | 5496 BC | M−S | LXX Creation (C6–G2) |
| P92-C | 420851 | 420846 | 420876 | 418140 | 2736 BC | M−S | Shem Death (LXX) |
7.1.1 Exception notes: P5 uses $T_{BC}=B+S$. P2 uses $T_{BC}=B+S$.
7.1.2 Lookup rows: P4, P6, P26-B, P28-A, P38-A, P44-A, P46-A, P50-A are sealed harmonic locks.
7.2 THE KEY OF 23 TETRAD (P23–P92)
Operator V: DEFINED IN PRIME FILES 29–41. P23 targets all Creation anchors. P46 targets Creation via V. P69 targets Shem Birth. P92 targets Shem Death and Creation gaps via 1380 steps.
For P92: $M = 420{,}876$. MT: $420{,}876 – 416{,}760 = 4{,}116$ BC. LXX: $420{,}876 – 415{,}380 = 5{,}496$ BC. Shem death: $420{,}876 – 418{,}140 = 2{,}736$ BC.
7.3 THE SANCTUARY ENNEAD (P28–P36)
P36 Span $82{,}800 / 69 = 1{,}200$ implies Target 4,836 BC (CumFlood_H). $4{,}836 \rightarrow 6$ BC $= 4{,}830 = 69 \times 70$.
7.4 THE RARE CLUSTER LATTICE
Inner Pillars (Quint P6 ↔ P7): Mirror Sum = 3360. Outer Pillars (Quint Q2 ↔ Q4): Linear Gap = 3360. Sextuplet Lattice (Sext P16 ↔ P19): Linear Gap = 3360.
7.5 THE CREATION CORE (S-PRIMES & ZIPPER)
Day 1: S97. Day 2: P19. Day 3: P25. Day 6: S11,664,547. Day 7: S82,984,537. Zipper Constant: DEFINED IN PRIME FILES 29–41.
7.6 VARIANT GENERATION (Sextuplet Moduli)
Modulus 210 generates Seder Olam (+210) and Sojourn (+215) variants. Modulus 30 generates Kings (+50) and Terah (+60) variants.
7.7 JACHIN MIRROR & RESTORATION (FILE_41)
Pillar Jachin: AD 29,515. Mirror Anchor: AD 535.
$$29{,}515 – 535 = 28{,}980 = 23 \times 1{,}260.$$
8) THE NATURALIZED PRIME SYSTEM (FILES 50a–50e)
Scope: This section defines a second, complementary mapping layer for the prime quadruplet sequence (A007530). It must not be confused with Appendix A (which maps primes to chronological targets via locked spans S and TargetRules) or with the Cumulative Prime Table (which uses cumulative sums). These are three complementary layers of the same prime sequence, not competing versions.
Relationship to Appendix A: Appendix A provides the what (which civil date each prime targets). The Naturalized system provides the where (which geometric state each prime occupies on the Base-90 grid) and the how (the mechanical translation into deep-time SKL/Berossus coordinates via the Mod720 Funnel).
8.1 CORE OPERATORS
8.1.1 Naturalization
$$P_{nat} = Q_n – 11$$
Anchors the system to P2 ($Q = 11$), the first sextuplet-embedded quad seed (§2.6.2).
8.1.2 The Base-90 Grid
$$V_{90} = \mathrm{round}(P_{nat} / 90) \times 90$$
$V_{90}$ is the nearest multiple of 90. This is the harmonic grid value.
8.1.3 The Three-State Differential
$$\mathrm{Diff} = P_{nat} – V_{90}$$
Every prime quadruplet start (for $n > 1$) yields exactly one of three values:
| State | Diff | Grid Formula | Function |
|---|---|---|---|
| State 0 | 0 | $90k$ | Perfect grid match. Structural stability. |
| State +30 | +30 | $90k + 30$ | High offset. Messianic/Heptadic extensions. |
| State −30 | −30 | $90k – 30$ | Low offset. Historical contraction. |
The ±30 is not noise. It is a Gear Selector toggling between the Geometric Rail (360-based) and the Heptadic Rail (7-based).
P1 Exception (Machine Guard): P1 ($Q = 5$) yields $P_{nat} = -6$, which does not conform to the three-state rule. P1 is the singular pivot (§7.0.2). Programmatic handler: If Index == 1: Bypass Mod-90; Return AD 1.
8.1.4 The +6 Civil Clutch
$$\text{Civil Date (BC)} = V_{90} + 6$$
Converts from the P2 (mathematical) origin to the P1 (civil/BC) historical datum.
8.1.5 Distribution (Indices 2–100)
| State | Count | Percentage |
|---|---|---|
| 0 | 37 | 37.4% |
| +30 | 31 | 31.3% |
| −30 | 31 | 31.3% |
8.2 THE +30/+60 BRIDGE (Naturalized ↔ Mod-210 Integration)
For every prime whose Diff is +30, that +30 is in addition to the 30-rail in the earlier mod-210 tables (§7). Combined span: $+30 + 30 = 60$ years — directly agreeing with Terah’s +60 (§1.2).
Each named +30 Diff prime generates a three-value system (mod210+6 / Nat+6 / Grid+6) mapping onto the 30-year triad of the three sons of Terah: Haran 2226, Nahor 2196, Abram 2166 BC.
Guard: This bridge does not alter Appendix A TargetRules or mod-210 sextuplet renderings.
8.3 THE THREE SCALES OF TIME
| Scale | Unit | Multiplier | Governors | Function |
|---|---|---|---|---|
| 1 (Civil) | 1 Year | ×1 | P1, P2 | The Clutch (6 BC ↔ AD 1) |
| 2 (Sumerian) | 360 Years | ×360 | P2, P3, P4 | Seasonal Quadrant |
| 3 (Cosmic) | 25,920 Years | ×72 | P13, P19 | Great Year (Precession) |
Scale 2: P2 = Winter Solstice (Base 0). P3 = Spring Equinox (Grid 90). P4 = Summer Solstice (Grid 180). P4 anchors the Exodus (1446 BC) in “Summer” opposition to the P2 “Winter” Base.
Scale 3: P13 (Grid 12,960) = Half a Great Year ($180 \times 72$). P19 (Grid 19,440) = Seasonal Shift ($12{,}960 + 6{,}480$), matching SKL tier gaps (§4.4).
8.4 THE PRIMORDIAL CONTOURS (Organic Emergence of Prophetic Spans)
The first eight indices completely define the architectural blocks of the unified chronology:
| Block | Source | Derivation |
|---|---|---|
| 90 (Three Months) | P2 → P3 | Grid 0 → Grid 90 |
| 180 (Half a Time) | P4 | Grid value 180 |
| 360 (A Time) | $-$P4 → P4 | $-180$ to $+180$ |
| 720 (Times) | P3 → P5 | Original: $821 – 101 = 720$. Grid: $810 – 90 = 720$. |
| 1290 (Daniel 12) | P4 → P6 | Grid 180 → Nat 1470 |
| 1260 (Rev 11–12) | P5 → P8 | Grid 810 → Nat 2070 |
| 6480 (Precessional Qtr) | P9 → $-$P9 | $3240 \times 2 = 6480 = 90 \times 72$ |
The 720 gap (P3 → P5) instantly establishes the Mod720 foundation for the SKL/Berossus lattice (§8.5).
Foundation Lock: P9’s grid value (3240), processed through the Mod720 engine, mechanically generates 2886 BC and 3606 BC ($3240 \pm 360$) — the Babel/Kish Long epoch anchors.
8.4a THE THREE-FOLD PROPHETIC MATRIX (Indices 1–10)
Before grid-snapping, pure arithmetic values generate the prophetic vocabulary in a ×3 matrix:
| Prime(s) | Value / Span | Identity |
|---|---|---|
| P6 | 1470 | $490 \times 3$ (70 Weeks of Daniel) |
| P4 → P6 | $1470 – 180 = 1290$ | $430 \times 3$ (Ezekiel 4 / Daniel 12) |
| P6 → P7 | $1860 – 1470 = 390$ | Ezekiel 4:5 |
| P8 → P9 | $3240 – 2070 = 1170$ | $390 \times 3$ |
| $-$P7 → P7 | $1890 \times 2 = 3780$ | $1260 \times 3$ |
| P10 | 3450 | $1150 \times 3$ (Daniel 8) |
| $-$P10 → P10 | $3450 \times 2 = 6900$ | $2300 \times 3$ |
The 1335-Day Blessing: $1335 + 1335 = 2670$. Span from P5 (810) to $-$P7 ($-1860$) = $810 + 1860 = 2670$.
8.4b INDEX MIMICRY (Self-Referential Pairing)
Quad 1 (P1): ${5, 7, 11, 13}$ → points to P5 and P13. Quad 2 (P2): ${11, 13, 17, 19}$ → points to P11 and P19.
P5 (Nat 810) to P11 (Nat 5640) = 4830 = $483 \times 10$ (69 Weeks of Daniel 9, ×10). Prophetic Key: $4830 \times (70/69) = 4900$ (full 70 Weeks).
Full index span of Quad 1: P5 to $-$P13 = $810 + 12990 = 13{,}800 = 23 \times 600$. Millennial confirmation: $13{,}800 = 2 \times 6{,}900$; $13{,}800 \times (70/69) = 14{,}000 = 2 \times 7{,}000$.
8.4c THE DECIMAL CALENDRICAL MATRIX (P10)
P10 introduces the ×10 multiplier. Spans from P10 back to the P3/P4 axis:
- Priestly Year (336): $3450 – 90 = 3360 = 336 \times 10$.
- Lunar Year (354): $3450 – (-90) = 3540 = 354 \times 10$.
- Solar convergence: $3450 – (-180) = 3630 = 3600 + 30$.
8.4d THE KEY OF 23 EXPANSION CIPHER (P8)
P8 (2070) as Master Key: $2070 \times (70/69) = 2100$. Also: $2070 + 30 = 2100$ (natively in lattice). 25/23 expansion: $2070 \times (25/23) = 2250$. Also: $2070 – (-180) = 2250$.
8.4e THE MILLENNIAL WEEK
6000-Year Frame: $-$P10 to P8 = $3450 + 2070 = 5520$; $5520 \times (25/23) = 6000$. 7000-Year Frame: $-$P10 to P10 = $6900$; $6900 \times (70/69) = 7000$.
Conquest Mirror: LXX Year 7 to AD 1406 = 6900 (7000-year base). MT Year 7 to AD 1406 = 5520 (6000-year base).
8.5 THE BIPARTITE GRID LANDING OPERATOR (The Mod720 Funnel)
8.5.1 Purpose: Deterministic translation of Base-90 naturalized primes into the mod720 SKL/Berossus environment.
8.5.2 Algorithm (integer arithmetic only)
Input: Grid Value $V_{90}$ from the Naturalized Table.
Step 1 — Inversion & Catch: $G := -V_{90}$. Find nearest 720-multiple: $M := \mathrm{round}(G / 720) \times 720$. Catch: $R := G – M$.
Step 2 — Bipartite Landing:
| Condition | Base Target | Companion Target |
|---|---|---|
| $R \in [-360, 0)$ (First Half) | $M$ | $M – 720$ |
| $R \in (0, +360]$ (Second Half) | $M$ | $M + 720$ |
| $R = 0$ (Exact 720-Strike) | See §8.5.3 | — |
Step 3 — Civil Conversion: $\text{Civil BC} = |Target| + 6$.
8.5.3 The Dual-Polarity 0-Strike (Tri-Node Resolution)
When $R = 0$, dual polarity yields a triad: ${|M| + 6,\ |M – 720| + 6,\ |M + 720| + 6}$ (all BC).
Exact 0-Strikes within P1–P100: P1, P2, P6, P13, P17, P19, P23, P56, P73, P78, P91, P98.
8.5.4 Computational Guard: $V_{90}$ is always a multiple of 30, and 720 = 8 × 90, so the nearest-720 operation is always exact or unambiguous. No floating-point. Compliant with §0.1.
8.6 THE SPARSITY PROOF & CLUSTER COMPRESSION
| Result | Count |
|---|---|
| Primes yielding zero hits | 73 |
| Primes hitting ≥1 list | 27 |
| Distinct structural targets | 16 |
21 of 27 active primes bolt down epochal boundaries. Remaining 6 hit theologically significant figures only: Seth (P57), Jared (P36), Enoch (P29), Alalgar (P59/P60), Amelon (P91).
8.6a EPOCH BOUNDARY CLUSTERS
| Boundary | Prime Cluster | Type |
|---|---|---|
| Pre-Creation | P96 | Dual |
| SKL-2 Adam | P64 | Dual |
| Ber-B Adam | P65 | Dual |
| Ber-A Adam (Alorus) | P98, P99 | Adjacent Singles |
| List Partition (Amelon) | P91, P92 | Tri-Node + Single |
| Final Pre-Flood King | P38 | Dual |
| SKL-1 Flood | P19, P20, P21 | Contiguous Triplet |
| Ber-A/B Flood | P24 | Dual |
| End of 23 Kings (Base) | P9, P10 | Double Dual Hit |
| End of 23 Kings (Abrahamic) | P6, P7, P8 | Tri-Node + Singles |
| 24510 Variant | P12 | Dual |
| 17980 Variant | P14, P15, P16 | Contiguous Triplet |
8.7 POLARITY CLASSIFICATION
8.7.1 Contiguity Constraint (hard): Every dual-hitting prime lands on Base plus one neighbor. No prime spans +720 and −720 without also hitting Base. No prime hits all three.
| Category | Count |
|---|---|
| +720 & Base | 9 |
| Base & −720 | 6 |
| +720 only | 4 |
| −720 only | 8 |
| Base only | 0 |
| +720 & −720 without Base | 0 |
8.7.2 SKL vs Berossus Polarity Split
| System | +720 : Base : −720 | Character |
|---|---|---|
| SKL (1+2) | 9 : 10 : 9 | Symmetrical (Cumulative ±2) |
| Berossus (A+B) | 7 : 10 : 12 | Asymmetrical (Regular ±2) |
8.8 THE ±720 STRUCTURAL MANDATE
8.8.1 Fractal Derivation
| Scale | Unit | Expression | Manifestation |
|---|---|---|---|
| Years of years | 360 yr | $720 \times 360 = 259{,}200$ | Full SKL Adam-to-Babel |
| Years of days | 1 yr | 720 years | ±720 flanking each Base |
| Days | 1 day | 720 days ≈ 2 years | ±2 at biblical anchors (§1.5) |
8.8.2 Precession Centering Proof
Two precession measurements: Sidereal 25,920; Anomalistic 25,800. Difference: 120 years.
Abraham/Sarah Signature: Abraham (2,166 BC) to 6 BC = 2,160 = $25{,}920 / 12$. Sarah (2,156 BC) to 6 BC = 2,150 = $25{,}800 / 12$. Gap encodes $120/12 = 10$.
Ber-B / SKL-2 Cross-List Proof: $275{,}760 + 34{,}560 = 310{,}320$.
$$310{,}320 + 720 = 311{,}040 = 12 \times 25{,}920$$ $$310{,}320 – 720 = 309{,}600 = 12 \times 25{,}800$$
Gap: $311{,}040 – 309{,}600 = 1{,}440 = 2 \times 720$. Remove either ±720 and the bridge collapses.
8.8.3 Three Operations (Cross-Polarity Taxonomy)
| Operation | Method | Product |
|---|---|---|
| Same polarity | +720→+720 or Base→Base | Geometric multiples (360, 720, 2160) |
| Cross polarity | +720→−720 | 430-cycle prophetic structure |
| Across polarity | Base + opposite-sign Flood | Precession centering |
Cross polarity example: Ber-A Alorus (+720) to Flood (−720): $467{,}286 – 33{,}846 = 433{,}440 = 1{,}008 \times 430$ where $1{,}008 = 7 \times 12^2$.
8.8.4 Dual-Precession Witness (17,980 vs 24,510 Reign Lengths)
| Tradition | Grid Endpoint | SKL Grid | Across Polarity | Precession |
|---|---|---|---|---|
| 24,510 reign (−30) | 10,050 | 2,850 | 12,900 | $25{,}800 / 2$ (anomalistic) |
| 17,980 reign (mod-720) | 10,080 | 2,880 | 12,960 | $25{,}920 / 2$ (sidereal) |
Both traditions coexist as legitimate textual witnesses generating both precession types from a single Flood anchor.
8.9 THE FORWARD CREATION STRUCTURE
8.9.1 Definition: At SKL/Berossus scale (1 day = 360 years): Six days = $6 \times 360 = 2{,}160$ years (forward from Adam). Full week = $7 \times 360 = 2{,}520$ years.
8.9.2 Ber-A Alorus Gold Standard
Base = 466,566 BC. End Day 6 = 464,406 BC.
Start to 6 BC: $466{,}560 = 1{,}296 \times 360 = 18 \times 25{,}920$ ($1{,}296 = 6^4$). End Day 6 to 6 BC: $464{,}400 = 1{,}290 \times 360 = 18 \times 25{,}800$ ($1{,}290$ = Daniel 12:11).
Dual-Precession Partition: To Christ: $466{,}560 = 18 \times 25{,}920$ (sidereal). To Abraham: $464{,}400 = 18 \times 25{,}800$ (anomalistic). Gap: $2{,}160 = 6 \times 360$.
Scaling: $466{,}560 / 2{,}160 = 216 = 6^3$. $464{,}400 / 2{,}150 = 216 = 6^3$.
Full Polarity: $466{,}560 \times 2 = 933{,}120 = 36 \times 25{,}920$ (sidereal). $464{,}400 \times 2 = 928{,}800 = 36 \times 25{,}800$ (anomalistic).
Scaling chain: $466{,}560 \div 72 = 6{,}480$; $6{,}480 \div 72 = 90$. Therefore $466{,}560 = 90 \times 72^2 = \text{P3} \times 72^2$.
8.9.3 Four Lists, Four Channels
| List | Best Variant | End Day 6 | Signature | Anchor |
|---|---|---|---|---|
| Ber-A Alorus | Base | 464,406 BC | $6^3 \times$ dual precession | 6 BC (Christ) |
| SKL-1 Adam | −720 | 259,206 BC | $10 \times 25{,}920$ | 6 BC (Christ) |
| SKL-2 Adam | Base | 266,406 BC | P63/P64 native encoding | 1,446 BC (Exodus) |
| Ber-B Alu-lim | Base (+720) | 273,606 BC | 430-cycle; $216 \times 1{,}260$ | 2,166 BC (Abraham) |
8.9.4 P63/P64 Native Encoding (SKL-2)
P64 marks Day 1 (268,566 BC). P63 marks End Day 6 (266,406 BC). Gap = 2,160 years. P64 → P65 = 7,200 = $20 \times 360$ (inter-list gap SKL-2 to Ber-B).
Additionally: P63 to P19 = $266{,}406 – 19{,}446 = 246{,}960 = 7^3 \times 720$.
8.9.5 The Forward 2,520 (Creation Week) Lock
Ber-B shifted: $275{,}760 – 2{,}520 = 273{,}240$. SKL-2 mirror shifted: $-268{,}560 + 2{,}520 = -266{,}040$.
Cross-polarity: $273{,}240 + 266{,}040 = 539{,}280$.
| Standard (21×) | Value | Gap to 539,280 |
|---|---|---|
| Sidereal ($21 \times 25{,}920$) | 544,320 | $2 \times 2{,}520$ |
| Anomalistic ($21 \times 25{,}800$) | 541,800 | $1 \times 2{,}520$ |
Unshifted across-polarity: $275{,}760 + 268{,}560 = 544{,}320 = 21 \times 25{,}920$. Gap to anomalistic: $544{,}320 – 541{,}800 = 2{,}520 = 7 \times 360$ (one creation week).
8.10 THE SKL ↔ BEROSSUS BRIDGE INVARIANT
8.10.1 The 201,600 Macro-Block
Bridge: $\Delta B = 467{,}280 – 268{,}560 = 198{,}720$. Expansion: $198{,}720 \times (70/69) = 201{,}600$. Envelope: $468{,}000 – 266{,}400 = 201{,}600 = 600 \times 336$.
8.10.2 The 336-Lattice
$201{,}600 = 600 \times 336$. Paired: $403{,}200 = 1{,}200 \times 336$. Completed envelope: $1{,}400 \times 336$.
8.11 THE FOUR PRIMARY ANCIENT LISTS (±720 Target Matrix)
All dates BC. +720 / Base / −720. Both SKL lists share anchor 3606 / 2886 / 2166.
8.11.1 SKL List 1 — Standard
| # | King / Patriarch | +720 | Base | −720 |
|---|---|---|---|---|
| — | Pre-Creation | 453,606 | 452,886 | 452,166 |
| 1 | Alulim / Adam | 262,806 | 262,086 | 261,366 |
| 2 | Alalngar / Seth | 234,006 | 233,286 | 232,566 |
| 3 | Enmenluana / Enosh | 198,006 | 197,286 | 196,566 |
| 4 | Enmengalana / Kenan | 154,806 | 154,086 | 153,366 |
| 5 | Tammuz / Mahalaleel | 126,006 | 125,286 | 124,566 |
| 6 | Ensipadzidana / Jared | 90,006 | 89,286 | 88,566 |
| 7 | Enmendurana / Enoch | 61,206 | 60,486 | 59,766 |
| 8 | Ubara-Tutu / Noah | 40,206 | 39,486 | 38,766 |
| — | Flood | 21,606 | 20,886 | 20,166 |
| — | End of 23 Kings | 3,606 | 2,886 | 2,166 |
8.11.2 SKL List 2 — +6480 Variant (Post-Flood unchanged)
| # | King / Patriarch | +720 | Base | −720 |
|---|---|---|---|---|
| — | Pre-Creation | 460,086 | 459,366 | 458,646 |
| 1 | Alulim / Adam | 269,286 | 268,566 | 267,846 |
| 2 | Alalngar / Seth | 240,486 | 239,766 | 239,046 |
| 3 | Enmenluana / Enosh | 204,486 | 203,766 | 203,046 |
| 4 | Enmengalana / Kenan | 161,286 | 160,566 | 159,846 |
| 5 | Tammuz / Mahalaleel | 132,486 | 131,766 | 131,046 |
| 6 | Ensipadzidana / Jared | 96,486 | 95,766 | 95,046 |
| 7 | Enmendurana / Enoch | 67,686 | 66,966 | 66,246 |
| 8 | Ubara-Tutu / Noah | 46,686 | 45,966 | 45,246 |
| — | Flood | 28,086 | 27,366 | 26,646 |
| — | End of 23 Kings | 3,606 | 2,886 | 2,166 |
8.11.3 Berossus List A (Anchor: 536 / 486 BC)
| # | Name | +720 | Base | −720 |
|---|---|---|---|---|
| 1 | Alorus (Adam) | 467,286 | 466,566 | 465,846 |
| 2 | Ala-paros | 431,286 | 430,566 | 429,846 |
| 3 | Amelon | 420,486 | 419,766 | 419,046 |
| 4 | Am-men-on | 373,686 | 372,966 | 372,246 |
| 5 | Me-gal-aros | 330,486 | 329,766 | 329,046 |
| 6 | Daos (Dumuzid) | 265,686 | 264,966 | 264,246 |
| 7 | Evedorachos | 229,686 | 228,966 | 228,246 |
| 8 | A-mem-psinos | 164,886 | 164,166 | 163,446 |
| 9 | Oti-ar-tes | 128,886 | 128,166 | 127,446 |
| 10 | Xisouthros | 100,086 | 99,366 | 98,646 |
| — | Flood | 35,286 | 34,566 | 33,846 |
| — | End 23 Kings (17980) | 17,306 | 16,586 | 15,866 |
| — | End 23 Kings (24510) | 10,776 | 10,056 | 9,336 |
8.11.4 Berossus List B — SKL Superimposed (Anchor: 536 / 486 BC)
| # | Name | +720 | Base | −720 |
|---|---|---|---|---|
| 1 | Alu-lim (Adam) | 276,486 | 275,766 | 275,046 |
| 2 | Alalgar | 247,686 | 246,966 | 246,246 |
| 3 | En-men-lu-ana | 211,686 | 210,966 | 210,246 |
| 4 | En-men-gal-ana | 168,486 | 167,766 | 167,046 |
| 5 | Dumuzid | 139,686 | 138,966 | 138,246 |
| 6 | En-sipad-zid-ana | 103,686 | 102,966 | 102,246 |
| 7 | En-men-dur-ana | 74,886 | 74,166 | 73,446 |
| 8 | Ub-ara-Tutu (Noah) | 53,886 | 53,166 | 52,446 |
| — | Flood | 35,286 | 34,566 | 33,846 |
| — | End 23 Kings (17980) | 17,306 | 16,586 | 15,866 |
| — | End 23 Kings (24510) | 10,776 | 10,056 | 9,336 |
8.12 THE CONCAVE MIRROR (Meta-Anchors)
P23 (31,686 BC) and Pillar Jachin (AD 29,515) are Structural Meta-Anchors:
Span: $31{,}686 + 29{,}515 – 1 = 61{,}200$. Double-arch: $29{,}520 + 2{,}160 + 29{,}520$.
Classified distinctly from textual kings mapped by the Bipartite Grid Operator.
8.13 P34 MODE DISTINCTION (Machine Guard)
| Mode | Source | Operator | Result |
|---|---|---|---|
| Sanctuary (Integer) | File 33 | $34 \times 2{,}300 = 78{,}200$ | Appendix A P34-A span |
| Solar (Half-Step) | File 35 | $34.5 \times 2{,}300 = 79{,}350$ | Separate derivation |
Guard: Do not substitute 79,350 for 78,200 in Appendix A.
8.14 THE MICRO SCALE (Scale 1 — Christological Ground Zero)
8.14.1 The 2070-Day Matrix: P8 (Grid 2070) at micro level = 2070 prophetic days. From Grid Origin (P2, April 1, 6 BC) to Civil Datum (P1, Jan 1, AD 1): $5.75 \times 360 = 2{,}070$ days.
8.14.2 Six-Year Completion: $2{,}070 + 90 = 2{,}160 = 6 \times 360$. P8 + P3 = 6 prophetic years. $11 – 5 = 6$ (P2 prime minus P1 prime).
8.14.3 The 720-Day Block (Herod’s Window): The Mod720 governing the SKL appears at micro scale as “two years and under” (720 prophetic days) of Matthew 2.
8.14.4 The 1260-Day Block: The 1260-year macro-span appears at micro scale in Revelation 12 as the 1,260 literal days the woman flees into the wilderness.
8.14.5 The 360-Degree Seasonal Axis: The first four indices draw a perfect circle: $-180, -90, 0, +90, +180$. Because unitless geometry, the structure holds whether the unit is a degree, a day, or a year — grounding the “Day for a Year” principle at the absolute foundation.
END OF CAPSULE (v10.2, PRIME-EXTENDED EDITION).
Self-contained: §1–§7 + Appendix A cover the Logic Engine, Regular/Cumulative/SKL chronologies, and the Prime Lattice architecture. §8 covers the Naturalized Grid System and Bipartite Grid Landing (Files 50a–50e). Unresolved symbols in §7.2–7.7 are explicitly marked as DEFINED IN PRIME FILES 29–41 (per Rule 0).
For Part 1, File_00 to File_30, see https://490d.com/the-490d-unified-chronology-knowledge-graph-repository/ For File_50 series, see https://490d.com/file_50a-prime-quadruplet-naturalized-master-table-indices-1-100/