C255 — The 8-fold preimage makes the residual redistribution explicit

23 September 2026 · Step 50 of 60, continuing C205.

Inserting the generated 8×529 BC preimage of Conquest splits the 5819 prefix into 3K+8K. The complete route becomes:

868 + 3K + 8K + (2K−2) + (2K+192) = 17K.

The source 1056 tail loses two years relative to the old 1058 tail, while the final 1250 span gains two relative to 1248. The constant 192=190+2 records that redistribution. The inserted preimage is generated, even though the unsplit C254 route has source-field endpoints throughout. This distinction preserves the 4232 framework without mistaking a generated internal boundary for a new event.

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.

18 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/.