{"id": "c204", "title": "C204 — The aligned coordinates reduce to K,190 and two finite selectors", "filename": "490d_C204_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 204, "sha256": "6d438216c164ef0dedb673a70e6a52b35e80fb57ae8b47e1db2ec2571fd5f059", "bytes": 2366, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C204/490d_C204_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/6d438216c164ef0dedb673a70e6a52b35e80fb57ae8b47e1db2ec2571fd5f059.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C204 — The aligned coordinates reduce to K,190 and two finite selectors\n\n23 September 2026 · Step 49 of 50, continuing C155.\n\nThe whole aligned configuration can be written with K=529, H=190 and two source selectors s,j. This compact form exposes the529 coefficients without concealing the source restrictions.\n\n| Coordi", "content": "# C204 — The aligned coordinates reduce to K,190 and two finite selectors\n\n23 September 2026 · Step 49 of 50, continuing C155.\n\n**The whole aligned configuration can be written with K=529, H=190 and two source selectors s,j.** This compact form exposes the529 coefficients without concealing the source restrictions.\n\n| Coordinate | Expression |\n|---|---|\n| A | 10K+s |\n| D | 10K−s |\n| X | 7K+s |\n| Z | s |\n| U | 12K−j |\n| M | 5K+j |\n| f | 5K−H+j |\n| b | 8K+H−s |\n| q | 3K−H+s |\n| z generated | 5K+H−s |\n\nThe five-row family has s=2,…,6 and j=0,…,5; δ=s−j. The exact common core is s=j=2,…,5. Allowing the sourced sixth11K/17K row adds s=7, but its A=5297 is outside the cumulative source field. The gap D−b=2K−H=868 is built into this selected alignment.\n\nThis is a reduced coordinate grammar, not an independent derivation of K or the source dates. It combines the conditional equations established in this batch. The explicit domains prevent the attractive integer coefficients from licensing missing endpoints, extra Gears or a global source-preserving action.\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. **80 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"}]}