Research action

Complete frozen Flood-pivot census for common P/J images

Download source fileOpen in research workspace

Study sequence: Finite E/P/J transport graphs and Noah→Shem return loops (C374–C413) · Mirror & 529

490d C378 — Complete Flood-pivot common P/J census

24 September 2026. Step 5 of 10 in the C374–C383 authorization.

Only the two-year gain has complete common P/J source support in the frozen Flood-pivot menus. This census tests all ordered pairs of distinct Flood coordinates, separately within each field, using the unique agreement input A+13D/10 and output A+30D/23, where D=B−A.

Frozen fieldDistinct Flood coordinatesOrdered pivot pairsInteger input/output candidatesComplete source quadruples
Cumulative16240166
Regular969120284

The cumulative hits are exactly the six retained OFF-Shem repairs i=0…5, with coordinate gain−2. The regular hits have gain+2:

J pivotP pivotCommon source input → output
243328933031 →3033
243528953033 →3035
264831083246 →3248
265031103248 →3250

The first two are215 years below the latter two; their precise source contexts are preserved for the next qualification step. Each regular P-pivot coordinate has SP and LXX source aliases. These are four coordinate quadruples, not a claim of four independent witnesses.

There is no unit-gain candidate: neither frozen Flood menu contains a pair230 years apart. The regular menu does contain four signed scale-four candidates, from pivot differences±920, but none has either required endpoint in the source menu. Scale-four candidate inputs/outputs are3441→3445,3571→3575,1969→1965 and2099→2095. These remain excluded generated coordinates.

The result is complete for the stated finite menus. It does not establish uniqueness across every possible chronological system. No new pivot, endpoint, source context or date anchor is adopted by the census.

Verification and limits

14 main checks and 15 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

This is a finite frozen-menu census. A coordinate match preserves its source labels but does not authorize blending contexts, creating source nodes or treating replicas as independent evidence.

Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.

Decision after this result

C379, proposed and unexecuted: Qualify all four regular common-image quadruples by tradition, Gear, event boundary and chronological context. Test their source529 sides and their possible2K/17K pairing with the six cumulative repairs, separating the full430 and215-year-shifted branches.

The exhaustive coordinate result adds translated copies and tradition aliases. Source qualification and the full Mirror spans are needed to determine whether those additions create new coupled configurations or merely reproduce the same local geometry.

Edition and provenance

490d_C378_Complete_Flood_Pivot_Common_P_J_Census_20260924.md

SHA-256 852cd665eeaa7acd4077d8680c6e36090168571b3d0e8334aa0db3b7d7234c6b

C01–C479/packets/C378/490d_C378_Complete_Flood_Pivot_Common_P_J_Census_20260924.md