C215 — Uniqueness and scope of the Creation-anchored map

23 September 2026 · Step 10 of 60, continuing C205.

The source endpoint triples independently determine slope 25/23 and their respective Creation fixed points −4419 and −4417. An affine map with slope different from one has exactly one fixed point, so no single such map can keep both Creation members fixed.

C206–C215 therefore establish a precise local description: two translated, fully sourced endpoint ladders; interval-center increments 299 and 325; and a named first right-endpoint midpoint whose image is generated. The 52, 868, 190 and 1058 relations remain inherited dependencies. The next block tests the domain of these maps before extending the coupled 11-fold family.

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.

7 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/.