# 490d Mirror checkpoint after C341

24 September2026. **C341 complete; C342 unexecuted.** 2 steps remain in the current authorization. Read this checkpoint and report first; frozen predecessor records retain earlier findings. Current decisions override stale archive instructions. Do not repeat completed research.

## Current result

Only primary same-Gear Shem paths on matching existing components give a complete ladder:4 of80 phase controls. Componentwise Noah-held expressions work, but a single physical-time E dilation cannot preserve both seasonal components or Noah950. The death image is diagnostic and unadopted.



## Retained context

C333 remains the completed predecessor synthesis. All four C287 SP paths support 2K=1058=950+108 through actual source-qualified SP Noah death. Primary partitions are 460+490+108; companion partitions are 459+491+108 with actual MT Noah. The primary death keeps its inclusive/harmonic qualification. C332 death conditions retain 02 and 22 at i3/i5; adding two17K conditionally selects22. C319's i3…7 control slice does not replace C287's complete i2…5 domain. C314 reversal requires i+j=10 with opposite cumulative ancestry phases; C313/C315 same-ancestry failures remain. C323's optional combined support criteria alone isolate i=j5. Source-explicit local E expansion prescriptions are retained, with no established link to the particular regular SP→MT context translation. Named500/100 and502/98 bindings remain distinct. Repeated source coordinates, phases and verification counts are not independent witnesses. Corrected LXX8464 supplement remains awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 is superseded. The earlier incomplete September17 local ZIP differs from the later verified intact original. C-series, original unprefixed reports and Engine reports remain distinct.

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.

## Verification

176 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.

## Best next bounded step

C342: Establish the ladder’s minimal source dependency and selector status. Check whether adding its full regular endpoint realization distinguishes C319 a=0 froma=2, and reconcile the exact source realization with C89 and File_46 without claiming new scalar discovery or independent witnesses.

The arithmetic, source membership, modes and phases are now bounded. The remaining pre-synthesis task is to state exactly which source facts support the result and whether it closes the original coupling gap.

Continue within the authorized batch, reassessing after the next completed result.