{"id": "c255", "title": "C255 — The 8-fold preimage makes the residual redistribution explicit", "filename": "490d_C255_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 255, "sha256": "a81f1a44df41786d490e81fbc74cebcb1d87b79919a9abab2da095756a2a9aee", "bytes": 1926, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C255/490d_C255_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/a81f1a44df41786d490e81fbc74cebcb1d87b79919a9abab2da095756a2a9aee.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C255 — The 8-fold preimage makes the residual redistribution explicit\n\n23 September 2026 · Step 50 of 60, continuing C205.\n\nInserting the generated 8×529 BC preimage of Conquest splits the 5819 prefix into 3K+8K. The complete route becomes:\n\n868 + 3K + 8K + (2K−2) + (2K+192) = 17K.\n\nThe source 1056 tail loses two years", "content": "# C255 — The 8-fold preimage makes the residual redistribution explicit\n\n23 September 2026 · Step 50 of 60, continuing C205.\n\nInserting the generated 8×529 BC preimage of Conquest splits the 5819 prefix into 3K+8K. The complete route becomes:\n\n**868 + 3K + 8K + (2K−2) + (2K+192) = 17K.**\n\nThe 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.\n\n## Evidence and scope\n\nK=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.\n\nRegular 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.\n\n**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/`.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}