{"id": "c210", "title": "C210 — Expansion of the two halves around the named death", "filename": "490d_C210_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 210, "sha256": "3f1d73f56868fdc9277462466d598fca60e5e2abe5266093e1903d5aa594dd82", "bytes": 1954, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C210/490d_C210_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/3f1d73f56868fdc9277462466d598fca60e5e2abe5266093e1903d5aa594dd82.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C210 — Expansion of the two halves around the named death\n\n23 September 2026 · Step 5 of 60, continuing C205.\n\nThe first source midpoint splits the 598 interval into 299+299. Expansion gives 325+325 across the second, 650 interval. The midpoint itself advances by 624=(598+650)/2.\n\n| Sourced midpoint | Generated image |", "content": "# C210 — Expansion of the two halves around the named death\n\n23 September 2026 · Step 5 of 60, continuing C205.\n\nThe first source midpoint splits the 598 interval into 299+299. Expansion gives 325+325 across the second, 650 interval. The midpoint itself advances by 624=(598+650)/2.\n\n| Sourced midpoint | Generated image | Old half | New half | Advance |\n|---|---|---|---|---|\n| 2757 | 3381 | 299 | 325 | 624 |\n| 2759 | 3383 | 299 | 325 | 624 |\n\nThis separates three quantities that can otherwise be conflated: movement of an endpoint, movement of a midpoint, and width of a half-interval. The 624 advance is determined by the two neighboring endpoint gains. It is not itself an additional Noah-death event interval.\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**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/`.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}