C265 — Sixty-step synthesis and verified stopping point

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

C206–C265 completes the authorized sixty bounded steps. The principal addition is the source endpoint connection 11×625=13×529−2: six native Creation/Conquest inputs reach retained MT Flood boundaries after two expansions, while their intermediate outputs remain generated. Their coupled 11-/13-fold centers carry the 529→575→625 ladder.

The source routes 868+5819+1056+1250=17K explain the same-Gear selection and place it in C201’s δ=2 geometry, with center gaps 869+191. They neither repair P6’s missing exact endpoint nor add independent 17-fold witnesses. The Peleg-number contacts are retained without claiming a new event path.

All preceding fifty-nine reports have passing evidence, intact predecessor hashes and the required Gear scope. This final report is included in the last isolated ten-step replay and evidence manifest. Read the consolidated synthesis for tables and the restart checkpoint for the exact continuation state.

Best next bounded step — C266: test the seven generated intermediate centers 1905–1911 against a finite fixed post-Flood MT event register. Preserve original source profiles and distinguish numerical coincidence from a shared endpoint construction. Regular Gears remain Noah/Shem/Flood only. C266 is proposed, not executed.

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.

177 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/.