# 490d Mirror checkpoint after C329

24 September2026. **C329 complete; C330 unexecuted.** 4 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

The explicit502/98 binding changes residual40→42 and640→642, while Noah950/490 and both600/140 relations survive. The two equal fields become502, overlap42, outer962. Uniform460 remains source-qualified.

**Noah950=460+490 survives both explicitly admitted Shem bindings.** The500-related remainder changes from40 to42 when the source's502 binding is selected. This distinguishes a binding-stable Noah relation from the binding-sensitive Noah/Shem interval.

Noah birth/death and Flood start stay at G2. Shem birth/death are selected together at G2 (Noah-bound500/100) or G1 (Arphaxad-bound502/98). Both traditions retain the existing full430 source records, SP primary OFF/Terah0 and MT restoredON/Terah60.

| Quantity | G2 Shem:500/100 | G1 Shem:502/98 |
|---|---:|---:|
| Noah→Shem birth | 500 | 502 |
| Shem birth→G2 Flood start | 100 | 98 |
| Noah→Flood | 600 | 600 |
| Noah matched lifespan | 950 | 950 |
| Shem matched lifespan | 600 | 600 |
| Noah birth→Shem death | 1100 | 1102 |
| Flood→Shem death | 500 | 502 |
| Residual of either500/502 path after460 | 40 | 42 |
| Noah950 residual after460 | 490 | 490 |
| Either600 residual after460 | 140 | 140 |
| Noah→Shem-death residual after460 | 640 | 642 |

The G2 SP chain is3708→3208→3108→2758→2608 BC in the500 binding and3708→3206→3108→2758→2606 in the502 binding. MT is460 lower at every corresponding role in either mode. No source endpoint is created by subtracting2; the alternative uses the already admitted G1 Shem records.

Each mode supplies two equal overlapping intervals:500 with overlap40/outer960, or502 with overlap42/outer962. The completed fields have gaps460|40|460 and460|42|460 respectively. Neither is File_09's40|460|40 cumulative completion field.

The full comparison retains50 annual role pairs and400 independent phase triples. There are100 exact partitions,24 positive. Across the25 matched role-pair comparisons,13 residuals stay unchanged, six increase by2, and six decrease by2. The G2 baseline reproduces C327.

File_18 §1.3.5, §2.2.1 and §3.2.1 explicitly distinguish these modes. The mixed G2 Noah/Flood plus G1 Shem selection is a named qualified comparison, not one coherent-Gear biography or unrestricted permission to mix Gears. It does not create a Flood companion, relocate Arphaxad, or import an SP companion into MT. Matched lifespans and the SP primary-death qualification remain intact. Inherited exact components are comparison coordinates, not newly asserted textual birth phases.

The new490 claim therefore survives this specific modal control while remaining conditional on the restored MT context demonstrated in C328. That does not prescribe E, a global axis or a preferred chronology.


## 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

30 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

C330: Account for dependence in the ten held SP/MT endpoints: determine the rank of the biography/context constraints and whether the two equal-interval fields follow through the same600 transport in both named modes.

The modal control separates stable from binding-sensitive claims. A finite dependency account can now show how many apparent confirmations follow from the same source relations before connecting the new death residual back to529.

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