File_50c — The Bipartite Grid Landing and SKL/Berossus Naturalization (v3.0)

Repository: 490d Unified Chronology Knowledge Graph
Status: Verified and Locked (Zero-History / Machine-Optimized)
Scope: The definitive mechanical translation of Base-90 naturalized primes into the mod720 environment of the Sumerian King List (SKL) and Berossus.

PREAMBLE

Primary Purpose: To establish the universal, deterministic mathematical operator that connects the Prime Quadruplet Lattice to the deep-time chronologies of antiquity.
Design Philosophy: The system is machine-optimized. It relies strictly on integer/rational arithmetic with zero human interpretive “degrees of freedom.” The primes generated these chronological coordinates intrinsically; they are not subjected to ad hoc manipulation to force historical alignments.

1. GROUND ZERO (The Civil/Grid Orientation)

The mechanism for mod720 generation relies entirely on the mathematical foundation of the Base-90 prime grid. The theological birth narrative (gestation spans, Herod’s window) is a Scale 1 (Micro) manifestation that maps elegantly onto this lattice, but the lattice exists independently as a pure mathematical chronometer.

Ground Zero is defined by the dual-anchor orientation:

P2 (6 BC): The mathematical Grid Origin (0).
P1 (AD 1): The Civil Anchor.

All civil outputs are mechanically offset by the +6 Civil Clutch bridging the Grid Origin to the historical timeline.

2. THE BIPARTITE GRID LANDING OPERATOR (The Mod720 Funnel)

To translate a Base-90 naturalized prime into the SKL/Berossus 720-year grid, the system utilizes a strict bipartite catch mechanism.

Step 1: Inversion & Catch

Take the prime’s naturalized Grid Value () from the Master Table.
Invert it to its negative base: **** (representing the look backward into BC history).
Find the nearest multiple of 720 () that brings the value into the central mod720 window: .

Step 2: The Bipartite Grid Landing
The grid is split into two active capture halves (0 is treated uniquely; see §3):

First Half (Negative):
Second Half (Positive):

Step 3: Resolution & The Dual Bracket

If the catch lands in the First Half, the base target is the multiple: . The companion target is: .
If the catch lands in the Second Half, the base target is the multiple: . The companion target is: .
Apply the +6 Civil Clutch to both targets to yield the final BC civil dates.

Consequence: The operator guarantees the system will always output the exact 720-year bounds that bracket the prime’s grid value. Single-date outliers are mathematically impossible.

3. THE DUAL-POLARITY 0-STRIKE

When a naturalized prime’s grid value is a perfect multiple of 720 (), it lands on the absolute geometric center of the mod720 grid.

Because the prime lattice operates under dual polarity (), this exact landing activates grid expansion in both directions simultaneously.

Tri-Node Resolution:
An exact 720-strike yields a structural triad of spans:

The Base Strike:
The Negative Polarity Expansion:
The Positive Polarity Expansion:

(Exact 720-strikes within P1–P100: P1, P2, P6, P13, P17, P19, P23, P56, P73, P78, P91, P98).

4. THE SPARSITY PROOF & CLUSTER COMPRESSION

When the strict Mod720 Funnel is applied to the first 100 primes against the four primary ancient lists (SKL-1, SKL-2 [+6480], Berossus-A, and Berossus-B [Superimposed]), the system proves its architectural intent through absolute sparsity.

The 73% Silence: 73 out of 100 primes yield no hits on any list. The funnel is too narrow to randomly populate the timeline or clip arbitrary filler kings.

Cluster Compression: The 27 primes that do hit the timeline cluster heavily. When grouped, these 27 discrete prime hits collapse into just 16 distinct structural targets. The lattice scales its prime density to match the historical weight of the event, deploying contiguous ordinal neighbors as “Outer Clamps” to bracket major transitions.

A. The Epoch Boundaries (21 Primes → 11 Targets)

The vast majority of prime activity is dedicated to bolting down the structural boundaries of the chronologies.

The Pre-Creation Boundary: P96 (Dual).
The First Kings / Adam: * SKL-2 Alulim: P64 (Dual).
Ber-B Alu-lim: P65 (Dual).
Ber-A Alorus: P98, P99 (Adjacent Singles clamping the outer bounds).
The List Partition (Original 8-King Start): P91 (Exact Tri-Node Strike precisely on Amelon), P92 (Single clamp extending upper edge).
The Final Pre-Flood King (Xisouthros): P38 (Dual).
The Great Flood: * SKL-1 Flood: P19, P20, P21 (Contiguous Triplet clamping the epoch bottom-to-top).
Ber-A/B Flood: P24 (Dual).
The End of 23 Kings (Terminus & Variants):
Base Anchor: P9, P10 (Double Dual Hit).
Abrahamic Extension: P6, P7, P8.
24510 Variant: P12 (Dual).
17980 Variant: P14, P15, P16 (Contiguous Triplet clamping the bounds).

B. The Intermediate Figures (6 Primes → 5 Targets)

Out of dozens of intermediate kings across the four lists, the primes land on almost none of them. The exceptions are highly significant theological or transitional figures:

SKL-2 Alalngar (Seth): P57 (Dual).
SKL-1 Ensipadzidana (Jared / Epoch of the Watchers): P36 (Dual).
SKL-2 Enmendurana (Enoch / The Ascended Figure): P29 (Dual).
Ber-B Alalgar: P59 (Dual), P60 (Single clamp).
Ber-B En-men-gal-ana: P48 (Single. The only true isolated intermediate outlier in the dataset.)

5. CAVEAT: THE CONCAVE MIRROR (META-ANCHORS)

While the textual kings are mapped directly to the prime lattice above, two massive coordinates act as the architectural bounds of the entire chronology: P23 (31,686 BC) and the Pillar Jachin (AD 29,515).

These are not textual kings found in the Sumerian or Berossus clay tablets; they are Structural Meta-Anchors. They function as a “concave mirror,” focalizing the timeline into a unified geometry:

The span between them is a perfect 61,200 years ().
They form a perfectly symmetrical double-arch over history, bridged by the Abraham-to-Christ clutch: 29,520 years (Past) 2,160 years (Clutch) 29,520 years (Future).

These meta-anchors represent the cosmic scaffolding holding the earthly record up, and must be classified distinctly from the textual kings mapped by the Bipartite Grid Operator.

End of File_50c (v3.0)