490d C345 — All admitted600 repairs and the529 partition tradeoff
24 September 2026. Step 2 of 10 in the C344–C353 authorization.
No admitted600 repair preserves both the2K outer span and the460/490 interior partition. This is an exact constraint, not merely a failed search.
All three restored-MT Noah/Flood Gears were checked for each retained primary SP path:
| SP path | MT Gear of the600 pair | N−M / M−D / D−R | N−R |
|---|---|---|---|
| i3, SP G1 | G1 | 460 /490 /110 | 1060 |
| i3, SP G1 | G2 | 458 /492 /108 | 1058 |
| i3, SP G1 | G3 | 456 /494 /106 | 1056 |
| i5, SP G2 | G1 | 462 /488 /112 | 1062 |
| i5, SP G2 | G2 | 460 /490 /110 | 1060 |
| i5, SP G2 | G3 | 458 /492 /108 | 1058 |
The identity N−R=(N−M)+600 proves the tradeoff. RequiringN−R=1058 forcesN−M=458; the held950 lifespan then givesM−D=492. Keeping460/490 instead forces1060. No coherent translation of both MT endpoints changes their mutual gap.
The held-Flood repair retains the complete primary1058→1150→1250 ladder becauseN,R,H,F stay fixed, while its MT-Noah interior changes. The held-Noah repair preserves460/490 but changes the first ladder width to1060. Neither invalidates the other source state.
A constructive next comparison is the E image of the original598 interval itself. Since598×25/23=650, the established Noah-held endpoint map may connect that entire interval to existing SP/MT Shem endpoints.
Verification and limits
31 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.
Three-Gear domain only; no global incompatibility outside the held N,D and source contexts is asserted.
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
C346, proposed and unexecuted: Verify the Noah-held E image of both ends of the original598 interval against existing SP and MT Shem records, and compare its650 output with File02’s600 output without identifying the two operations.
The600 repairs change different parts of the structure. The whole598 interval has a distinct E image that may remain fully source-qualified and clarify the relation between the two ratios.