{"id": "c377", "title": "Ancestry and lifespan limits of the299-to300 edges", "filename": "490d_C377_Unit_Gain_Noah_Death_Ancestry_and_Lifespan_Limits_20260924.md", "role": "Research action", "step": 377, "sha256": "050967c8521bd0423893c15d46241c6209ff0d92ec1879a5a2c87be5a64cbc32", "bytes": 3568, "origins": ["C01–C479/packets/C377/490d_C377_Unit_Gain_Noah_Death_Ancestry_and_Lifespan_Limits_20260924.md"], "download": "/sources/050967c8521bd0423893c15d46241c6209ff0d92ec1879a5a2c87be5a64cbc32.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C377 — Unit-gain Noah-death ancestry and lifespan limits\n\n24 September 2026. Step 4 of 10 in the C374–C383 authorization.\n\nThe 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 through", "content": "# 490d C377 — Unit-gain Noah-death ancestry and lifespan limits\n\n24 September 2026. Step 4 of 10 in the C374–C383 authorization.\n\n**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.\n\n| MT Flood pivot | SP death input → output | Matching SP birth input → output |\n|---:|---|---|\n|2647|2946 G1 primary →2947 G2 companion|3896 →3897|\n|2648|2947 G2 companion →2948 G2 primary|3897 →3898|\n|2649|2948 G2 primary →2949 G3 companion|3898 →3899|\n|2650|2949 G3 companion →2950 G3 primary|3899 →3900|\n\nA 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.\n\nThe 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.\n\nThe 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.\n\nThe 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.\n\n## Verification and limits\n\n26 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.\n\nOne-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.\n\nMirror/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.\n\n## Decision after this result\n\n**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.\n\nThe 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.\n"}