Research action

Ancestry and lifespan limits of the299-to300 edges

Download source fileOpen in research workspace

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

490d C377 — Unit-gain Noah-death ancestry and lifespan limits

24 September 2026. Step 4 of 10 in the C374–C383 authorization.

The four additional299→300 edges belong to one admitted SP Noah-death family, but J does not carry their whole950-year biographies. The family has Cainan ON, Terah+60 and full430 fixed throughout.

MT Flood pivotSP death input → outputMatching SP birth input → output
26472946 G1 primary →2947 G2 companion3896 →3897
26482947 G2 companion →2948 G2 primary3897 →3898
26492948 G2 primary →2949 G3 companion3898 →3899
26502949 G3 companion →2950 G3 primary3899 →3900

A translation of one year carries each matched birth/death pair and preserves950. At the fixed MT Flood pivot, J carries the death endpoint correctly but maps the birth beyond its matching source target by exactly950/299. An endpoint gap conversion therefore remains distinct from a lifespan-preserving map.

The previously used SP Flood pivot cannot supply the matching P edge: the death input is161 below it, and the P image falls10/3 below the J target. The conjugate cumulative coordinates of both death and birth pairs are absent from the frozen48-member menu.

The primary death coordinates also have LXX Noah-death aliases. The last coordinate2950 additionally has Flood-close aliases in different contexts. These remain different source identities. The continuous source ancestry used in the table is SP Noah death; it neither imports SP companions into LXX nor turns the endpoint aliases into a single biography.

The distinction between unit and double gain is now worth testing across the complete existing Flood-pivot menus: the unit J edges are real, but the selected SP pivot is too far away to share them under P.

Verification and limits

26 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.

One-year SP source transport is not a new general chronology operator. Coordinate aliases, a changing Flood pivot and biography stretching remain explicit. All Gear use stays at Noah/Shem/Flood.

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

C378, proposed and unexecuted: Exhaustively test all ordered pairs of already registered Flood pivots, separately in the cumulative and regular menus, for a common nontrivial P/J image whose input and output are both existing source records. Use the exact intersection formula and retain all source identities; do not adopt new pivots or mix contexts by default.

The known unit J edges raise a precise question about source availability at the required P pivot. A complete frozen Flood-pivot census can determine whether scale one, scale two or another integer scale is actually realized, without fitting a new source point.

Edition and provenance

490d_C377_Unit_Gain_Noah_Death_Ancestry_and_Lifespan_Limits_20260924.md

SHA-256 050967c8521bd0423893c15d46241c6209ff0d92ec1879a5a2c87be5a64cbc32

C01–C479/packets/C377/490d_C377_Unit_Gain_Noah_Death_Ancestry_and_Lifespan_Limits_20260924.md