490d C347 — Gap conversion versus coherent Noah biography transport
24 September 2026. Step 4 of 10 in the C344–C353 authorization.
The successful598→600 birth-endpoint match is not a950-preserving affine transport of Noah’s biography. The actual source state change preserves950 by shifting both birth and death by two years.
| MT source states | Birth before→after | Death before→after | Lifespan |
|---|---|---|---|
| G1→G2, restored context | 3246→3248 | 2296→2298 | 950 |
| G2→G3, restored context | 3248→3250 | 2298→2300 | 950 |
An affine300/299 expression fixing the Flood sends the old Noah birth to the new birth. Applied to the old death, however, it lands 950/299 years below the new source death. Its lifespan is285000/299=950+950/299. The death image is outside the retained quarter-year lattice and is not adopted.
Holding Noah instead produces the admitted Flood−2 repair, but a whole affine extension would still move Noah’s death by−950/299. The source Noah biography remains unchanged in that repair.
File_02’s permission remains exactly useful: it converts the local gap. Its birth/death modal table and the ordinary Gear register provide the separate source-state selections. This study neither rejects the gap conversion nor promotes it to a biography-wide operation. Its explicit exclusion of Residue Protocol arithmetic also remains in force.
The next check resolves the seasonal layer: can any existing component pairing repair the599 companion failure, or support a single physical-time dilation across both seasonal components?
Verification and limits
14 main checks and 16 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.
No diagnostic fractional image is adopted. Calendar-year/ResidueProtocol physics is not reopened.
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
C348, proposed and unexecuted: Exhaust the existing quarter-year component pairings for the598 primary and599 companion gaps and both held-endpoint repairs. Determine exact phase requirements and compare component-preserving gap conversion with a single physical-time affine dilation.
The whole-biography extension fails. The remaining local arithmetic risk is an unnoticed phase combination or rounding that could obscure the companion failure.