Research action

C238 — Reflection reverses the order of the fixed center partition

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

C238 — Reflection reverses the order of the fixed center partition

23 September 2026 · Step 33 of 60, continuing C205.

At the initial source stage the ordered centers are MT 17-fold → Creation 13-fold → SP 17-fold, with gaps 868 then 190. Global reflection reverses their order and swaps those gap positions.

pOriginal ordered centersReflected ordered centers
3[Fraction(-3697, 2), Fraction(-1961, 2), Fraction(-1581, 2)][Fraction(1581, 2), Fraction(1961, 2), Fraction(3697, 2)]
5[Fraction(-3693, 2), Fraction(-1957, 2), Fraction(-1577, 2)][Fraction(1577, 2), Fraction(1957, 2), Fraction(3693, 2)]

The same reversal holds under the 8K complement after adding its common translation. This is a transformation of the existing partition, not an additional 868/190 witness. The later local 13-fold center passes the fixed SP reference, so the original three-center ordering must not be imposed on every stage.

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.

6 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_C238_529_Mirror_Bounded_Step_20260923.md

SHA-256 9e8bfa6c3fcb885442acea49e6cec4168bc721e71d55c0af0d503fdc5cabb657

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C238/490d_C238_529_Mirror_Bounded_Step_20260923.md