{"id": "c180", "title": "C180 — Noah complements lie just below one 529-unit", "filename": "490d_C180_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 180, "sha256": "3721ec936a94b8824d4f0f24b7777611bb921ef87d6cd11747910e114603c866", "bytes": 2247, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C180/490d_C180_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/3721ec936a94b8824d4f0f24b7777611bb921ef87d6cd11747910e114603c866.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C180 — Noah complements lie just below one 529-unit\n\n23 September 2026 · Step 25 of 50, continuing C155.\n\nThe six sourced SP Noah birth bases are 7K+s, with s=2,…,7; their8K complements are K−s. This includes the sourced G3 primary boundary separately from the five admitted cumulative3K-start rows.\n\n| Noah X | s | Gene", "content": "# C180 — Noah complements lie just below one 529-unit\n\n23 September 2026 · Step 25 of 50, continuing C155.\n\n**The six sourced SP Noah birth bases are 7K+s, with s=2,…,7; their8K complements are K−s.** This includes the sourced G3 primary boundary separately from the five admitted cumulative3K-start rows.\n\n| Noah X | s | Generated S(X) | Cumulative3K start admitted? |\n|---|---|---|---|\n| 3705 | 2 | 527 | True |\n| 3706 | 3 | 526 | True |\n| 3707 | 4 | 525 | True |\n| 3708 | 5 | 524 | True |\n| 3709 | 6 | 523 | True |\n| 3710 | 7 | 522 | False |\n\nFor the thirty aligned comparisons, s=d+1 and δ=s−j. The reversed complement interval is\n\n\\[\nS(M)-S(X)=(3K-j)-(K-s)=2K+\\delta.\n\\]\n\nThe offset from a pure529 multiple is therefore retained exactly under the complement. These522–527 coordinates are generated images of Noah source stations; this step does not identify them with later historical events or turn numerical proximity to a known era into source evidence.\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. **55 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"}]}