Research action

C232 — The local and macro maps differ by their fixed anchor

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

C232 — The local and macro maps differ by their fixed anchor

23 September 2026 · Step 27 of 60, continuing C205.

The local map P fixes ordinary Creation a=p−4422; the macro map Q fixes p. They have the same slope, but P(t)−Q(t)=8844/23 for one application. After n applications the difference is (rⁿ−1)×4422.

The mismatch is independent of the chosen input t. Thus equal expansion ratios alone cannot identify the two endpoint operations. Their fixed points, and consequently the moved endpoints and centers, are different. The coordinate 4422=8×529+190 expresses the existing Creation offset in this comparison; it is not introduced as a new chronological period.

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.

14 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_C232_529_Mirror_Bounded_Step_20260923.md

SHA-256 7580a54c4ba38eccfe4ecbb58130030880c77aafebfe275f90803233b2f030c6

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C232/490d_C232_529_Mirror_Bounded_Step_20260923.md