# 490d Mirror checkpoint after C325

24 September2026. **C325 complete; C326 unexecuted.** 8 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

Sixsource-admitted460+40=500triples andtwelveexactcomponents occur inNoahbirth→Shembirth andFloodstart→Shemdeath families. All75annual/600phasecombinations were tested. Equalphysicalphases retain distinct inheritedcumulativeancestries.

The fixed endpoint census finds **six admitted460+40=500 triples**, in two event-role families repeated across the three primary Gears. No new date or expansion anchor is generated.

| Gear | SP Noah birth →MT Noah birth →SP Shem birth | SP Flood start →MT Flood start →SP Shem death |
|---|---|---|
|G1|3706→3246→3206|3106→2646→2606|
|G2|3708→3248→3208|3108→2648→2608|
|G3|3710→3250→3210|3110→2650→2610|

All coordinates are BC numerical values, equivalently their reflected-coordinate centers. SP is OFF/Terah0/full430; MT is restoredON/Terah60/full430. Each first leg is the already verified same-role context difference460. Each second leg is an existing cross-role/cross-context40-year interval. Each outer leg is a source500 interval. The second family is **Flood start→Shem death**, not a secondNoah→Shem birth witness.

The census covers all75 same-Gear choices of fiveSP anchor roles, their MT counterparts, and fiveSP terminal roles. Exactly six meet the three stated lengths. Independent choice of the two quarter-year components at all three vertices gives600 trials, of which twelve pass. Every success uses the same physical output offset at its three endpoints; seasonal mixing supplies no extra match.

The inherited ancestry labels are retained. The SPNoah anchor comes from cumulativeOFFFlood_i, the SPFlood anchor from cumulativeOFFShem_i, while the Shem birth/death target uses C314's j=10−i and opposite cumulative phase. Thus equal physical phases do not mean one shared cumulative ancestor. C271 and C314 exact components verify these bindings.

The40-year interval is forced once A−B=460 and A−C=500: B−C=40. Endpoint admission is genuine source validation; the extra subtraction is not an independent numerical witness. C324's source-prescription gap remains. The result supplies concrete existing endpoints for the proposed comparison, but does not identify a source-authorizedE path or replace the translation by a dilation.

The source states remain Noah-bound/Flood-bound500/100. The distinct textual502 binding and SP primaryNoah-death qualification are untouched. No companion, Gear, annual index or event-role extension was used.

## Retained context

C323 remains the completed predecessor synthesis. Retain the six-coordinate OFF600 rectangle family and three nativeON/restored-MT primary counterparts; the full same-Gear Noah-bound SP→MT biography translates by460, with source textual502 a distinct binding. C314 reversal requires i+j=10 and opposite cumulative phases. C313/C315 same-ancestry500/600 failures remain. C287 full domain is i2…5. The paired+2 choices produce its all-K form, but the00 control also retains two17K paths. The optional combined support criteria alone isolate i=j5. No source-prescribed selector has been established. Corrected LXX8464 supplement remains awareness only (1564→1700;2484→2700;920→1000); AD3746/2300 is superseded. Earlier reports, original unprefixed reports and Engine series 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

70 main checks and 16 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. Independent review and its scope are recorded in the evidence. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

## Best next bounded step

C326: Complete each triple with the already admitted MT counterpart of its SP terminal. Compare the resulting four-endpoint overlap and outer width with File_09’s declared bilateral460→500 field, retaining source labels and phases.

Three-point equality does not establish equality of whole configurations. The fourth admitted endpoint can distinguish a full bilateral completion from a narrower arithmetic resemblance without adding an endpoint.

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