{"id": "c234", "title": "C234 — Fractional endpoint parts cancel in the 13-fold width", "filename": "490d_C234_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 234, "sha256": "5e9723002a3b7597c332559a0cf53e97ec394941d2cfaa2be064ece096448964", "bytes": 2123, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C234/490d_C234_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/5e9723002a3b7597c332559a0cf53e97ec394941d2cfaa2be064ece096448964.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C234 — Fractional endpoint parts cancel in the 13-fold width\n\n23 September 2026 · Step 29 of 60, continuing C205.\n\nThe moved ordinary Creation and Flood share exactly the same fractional part. Their difference is therefore the integral width 7475 or 8125 even though neither moved endpoint is annual.\n\n| p | Stage | Move", "content": "# C234 — Fractional endpoint parts cancel in the 13-fold width\n\n23 September 2026 · Step 29 of 60, continuing C205.\n\nThe moved ordinary Creation and Flood share exactly the same fractional part. Their difference is therefore the integral width 7475 or 8125 even though neither moved endpoint is annual.\n\n| p | Stage | Moved Creation | Moved Flood | Width | Shared fractional part |\n|---|---|---|---|---|---|\n| 3 | 1 | -110481/23 | 61444/23 | 7475 | 11/23 |\n| 3 | 2 | -2762163/529 | 1535962/529 | 8125 | 275/529 |\n| 5 | 1 | -110435/23 | 61490/23 | 7475 | 11/23 |\n| 5 | 2 | -2761105/529 | 1537020/529 | 8125 | 275/529 |\n\nThis demonstrates why checking widths alone is insufficient. The same numerical 13-fold widths are sourced in C01 through a different fixed-Creation endpoint comparison. That independent realization does not transfer source identity to these fractional macro images.\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**8 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"}]}