Research action

C245 — Endpoint recovery in the coupled 11- and 13-fold construction

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Study sequence: Coupled local/macro expansions and the sourced 6875 Flood closure (C206–C265) · Mirror & 529

C245 — Endpoint recovery in the coupled 11- and 13-fold construction

23 September 2026 · Step 40 of 60, continuing C205.

The coupled construction now has a bounded endpoint result: both complete C01 origins carry native 11-fold prefixes whose second images are retained MT Flood starts. The first image remains generated. At stage two the SP Noah and MT Flood endpoints are 1250=2×625 apart.

This is an endpoint-supported two-application comparison, not a wholly sourced three-stage 11-fold ladder. C236–C245 leave the regular Gear restriction intact and add no graph nodes. The next block exhausts the seven native interior Creation/Conquest pairs already identified in C09, testing whether this endpoint recovery is limited to N02/N04 or extends to other admitted rows.

Evidence and scope

K=529 and r=25/23. BC base B means (B+1)t/Bn BC; reflected AD base A means AD At/(A+1)n. Their civil span is B+A in both seasonal components, with no year zero. Signed paired centers are −B and +A; the center model uses components ±1/4 and restores this separation after dilation. An interval center is geometry, not an event or a proposed universal Mirror axis.

Regular Gears are restricted to Noah/Shem/Flood. Creation and Conquest retain fixed source-field members; no fourth Gear is admitted. Generated coordinates, source-field membership and stored graph incidence are distinct. File_18/File_09 and the frozen C127 graph are unchanged. Earlier N01/N03 qualifications, the missing Shem join, closed primers and unestablished original Reports 11–25 remain unchanged. This packet selectively uses prior evidence; it does not rerun completed campaigns. Assertions and alternative placements are not independent historical witness counts.

8 step-specific checks and 19 frozen-input checks passed. Exact inputs, results and predecessor hashes are in the accompanying JSON records; calculation code is in the evidence archive. Source dependencies are identified in the body and frozen in sources/.

Linked sources and evidence

Edition and provenance

490d_C245_529_Mirror_Bounded_Step_20260923.md

SHA-256 0c51ea40b5662bb6d46cb387bf3b8e010298545c7531586f66450df8a94f0735

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C245/490d_C245_529_Mirror_Bounded_Step_20260923.md