C303 — Overlap with the retained8395 and17K correspondences
24 September 2026. Continuation after C302. K=529; finite retained domains only.
Result
Of the six numerical cumulative-Flood/regular-MT-Flood comparisons admitted by C298, four also meet the retained8395 relation to regular SP Flood, and two meet17K to regular SP Noah. The two17K cases are cumulative LXX_OFF Flood indices2 and3. They also belong to the complete four-node family of C287.
The fixed cross-bridge condition is C−B=2832, where C is the cumulative BC base and B is the regular MT Flood BC base. The additional source conditions use reflected SP endpoints: C+P=8395 for Flood and C+N=8993=17K for Noah. These are separate endpoint bindings, not alternative names for the MT endpoint.
| Cumulative C | MT Flood B | SP Flood required by8395 | SP Noah required by17K |
|---|---|---|---|
| 5287 | 2455, Gear1 close | 3108, Gear2 start | 3706, Gear1 primary |
| 5288 | 2456, Gear1 start | 3107, Gear2 close | 3705, Gear1 companion |
| 5289 | 2457, Gear2 close | 3106, Gear1 start | 3704 absent |
| 5290 | 2458, Gear2 start | 3105, Gear1 close | 3703 absent |
| 5291 | 2459, Gear3 close | 3104 absent | 3702 absent |
| 5292 | 2460, Gear3 start | 3103 absent | 3701 absent |
All SP records in this table retain Cainan OFF, Terah0 and full430. Cumulative MT_ON/LXX_OFF aliases at5289 and5290 are preserved as labels in the evidence; the six rows here count coordinates once.
What the overlap establishes
At5287 and5288, the SP Noah endpoint is598 years above the SP Flood endpoint selected by8395. This follows both from the source register and from8993−8395=598. These SP Flood endpoints belong to Gear2, while the selected SP Noah endpoints belong to Gear1. The earlier cross-index character of598 therefore remains visible.
The MT Flood endpoint selected by the cross-bridge comparison is a third endpoint. Moving it into its same-Gear SP frame by+650 does not select the SP Flood endpoint in the8395 column. Sharing the cumulative endpoint alone does not make all these routes one biography.
This narrows the useful provenance question: is either of the two17K overlaps already represented by an established source path, and if so with which interior nodes?
Evidence and next decision
Eight mathematical/domain checks and eight input authentication checks passed; two readouts are byte identical. Inputs are the C298 comparison ledger, C286 regular register and C287 four-node family. No graph edit, new Gear or historical identity is inferred.
C304 will inspect the retained original Report09 interfaces and C127 graph selectively for the5287/3706 and5288/3705 comparisons. The aim is to distinguish an established path from a valid endpoint comparison whose interior route is not stored. Author review only.