{"id": "c193", "title": "C193 — One-pass annual integrality does not imply iterable source closure", "filename": "490d_C193_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 193, "sha256": "a6bacd6aef78a7939fb0c75cfa04141131d31bafa332769635fe5cbdb811f3ac", "bytes": 2181, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C193/490d_C193_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/a6bacd6aef78a7939fb0c75cfa04141131d31bafa332769635fe5cbdb811f3ac.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C193 — One-pass annual integrality does not imply iterable source closure\n\n23 September 2026 · Step 38 of 50, continuing C155.\n\nThe annual images found at q1403 and Isaac death1886 do not remain annual after a second centered25/23 dilation. One pass requires23|(x−2116); two require529|(x−2116).\n\nThe distances713=31×23 ", "content": "# C193 — One-pass annual integrality does not imply iterable source closure\n\n23 September 2026 · Step 38 of 50, continuing C155.\n\n**The annual images found at q1403 and Isaac death1886 do not remain annual after a second centered25/23 dilation.** One pass requires23|(x−2116); two require529|(x−2116).\n\nThe distances713=31×23 and−230=−10×23 contain only one factor of23. After one pass their distances are775 and−250; applying the ratio again yields fractions. None of the seven held Conquest members survives two passes on the annual center grid.\n\nThis distinguishes the square-of-23 width sequences K→575→625 from these individual centered source distances. Exact arithmetic after one operation is not evidence of an indefinitely iterable chronological action. Fractional images remain valid generated comparisons, but are not automatically members of the retained annual source fields.\n\n## Evidence and scope\n\nK=529. Positive BC base B denotes (B+1)t/Bn BC; reflected AD base A denotes AD At/(A+1)n. Their same-season civil span is B+A, after the no-year-zero correction. AD source projections are not historical AD occurrences. Generated coordinates and interval midpoints do not acquire event identity from numerical coincidence.\n\nRegular Gears remain confined to Noah/Shem/Flood. Creation and Conquest use fixed source-field members; no fourth Gear is admitted. File_18/File_09 and the C127 graph are unchanged. C133–C155 source corrections remain controlling, with the C10 ancestry of the next-Flood-Gear rule now explicit. No historical campaign is rerun, no quarantined primer is reopened, and no N01/N03 expansion or missing Shem join is repaired. Original Reports 01–10 remain previously verified; interrupted original Reports 11–25 remain unestablished.\n\nSources: controlling File_18 §§2–3, 6A–6D; File_09 paired Mirror rules; selectively retained C05, C08, C10, C123, C128 and C133–C155 evidence. Specific dependencies are named in the body/certificate. **22 assertions passed**; see `RESULTS.json` and `CERTIFICATE.json`. Assertions, selected field combinations and inherited identities are not independent historical witness counts.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}