{"id": "c224", "title": "C224 — Center dilation and seasonal-pair restoration", "filename": "490d_C224_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 224, "sha256": "b484791f18512b569d72370d9da88901cf5e96df8994fc798ca011e9dfbb84b0", "bytes": 1936, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C224/490d_C224_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/b484791f18512b569d72370d9da88901cf5e96df8994fc798ca011e9dfbb84b0.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C224 — Center dilation and seasonal-pair restoration\n\n23 September 2026 · Step 19 of 60, continuing C205.\n\nThe declared expansion acts on paired centers and then restores the standard ±1/4 seasonal display. Applying 25/23 directly to each ±1/4 component would instead enlarge their separation from 1/2 to 25/46, shifting", "content": "# C224 — Center dilation and seasonal-pair restoration\n\n23 September 2026 · Step 19 of 60, continuing C205.\n\nThe declared expansion acts on paired centers and then restores the standard ±1/4 seasonal display. Applying 25/23 directly to each ±1/4 component would instead enlarge their separation from 1/2 to 25/46, shifting them by −1/46 and +1/46 relative to the restored pair.\n\nThose two operations must remain distinct. The source 6877 interval is 6877 in both civil components, and all annual endpoint identifications use the restored-pair convention. A fractional phase artifact cannot supply a missing annual event or remove the two-year difference later encountered between 6875 and 6877.\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"}]}