490d C329 — Named500 and502 binding control
24 September2026. Step6 of10 in the C324–C333 authorization.
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.
Verification and limits
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.
Only the two explicitly named modal selections are compared. Stability here does not imply invariance under all source states, a prescribed expansion, or independent corroboration.
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
C330, proposed and unexecuted: 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.