{"id": "c109", "title": "C109 — The sourced 600-year Noah/Flood interval calibrates the free unit to 529", "filename": "490d_C109_Mirror_Report_20260922.md", "role": "Research action", "step": 109, "sha256": "662d87e302dfd4e6e30dfef0df7280fc5c19c3e927c358238ebff44c42dd793d", "bytes": 3350, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_graph_confluence_20260922/C109/490d_C109_Mirror_Report_20260922.md"], "download": "/sources/662d87e302dfd4e6e30dfef0df7280fc5c19c3e927c358238ebff44c42dd793d.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C109 — The sourced 600-year Noah/Flood interval calibrates the free unit to 529\n\n22 September 2026 · Step 7 of the authorized ten-step Mirror continuation (C103–C112).\n\nThe junction equations determine r, but leave k free. The apparent 12-fold row supplies a direct source calibration: its G1 Noah and G1 Flood are separ", "content": "# C109 — The sourced 600-year Noah/Flood interval calibrates the free unit to 529\n\n22 September 2026 · Step 7 of the authorized ten-step Mirror continuation (C103–C112).\n\nThe junction equations determine r, but leave k free. The apparent 12-fold row supplies a direct source calibration: its G1 Noah and G1 Flood are separated by 600 years. This is the same-Gear Noah/Flood interval from File_18, not a newly selected cross-Gear difference.\n\n\\[\nN-F=12kr(r-1)=\\frac{600}{529}k=600,\n\\qquad k=529.\n\\]\n\nThe resulting anchor difference is d=25. The source Flood coordinate 2456 then fixes the origin:\n\n\\[\n\\alpha=2456-12(529)\\frac{25}{23}=-4444,\n\\qquad b=\\alpha+25=-4419.\n\\]\n\n| Reconstructed target row | First | Second | Third |\n| --- | --- | --- | --- |\n| Ordinary 11 | 1400 | 1906 | 2456 |\n| Apparent 12 | 1904 | 2456 | 3056 |\n| Ordinary 13 | 2458 | 3056 | 3706 |\n\nThe apparent first target is 1904, which agrees with the original Joseph closing source identity 1794+110. This source identification remains a separate requirement from the geometric reconstruction.\n\nThe 600-year interval is common to all three allowed Gears, so it alone does not choose G1. With the absolute Flood coordinates, G2/G3 reconstruct apparent Creation −4442/−4440; these lie outside the held apparent field. G1 alone fits that field and recovers the closing −4444 member. Ordinary Creation is selected from its fixed field; no Creation Gear movement is used.\n\nThe result reduces the construction to two source junctions, the shared family/ratio shape, one 600-year scale calibration and one absolute source coordinate. These premises reuse the supplied model; the calculation is not an independent historical proof of the unit.\n\n**Validation.** 10 exact arithmetic/structural checks passed. The 18 frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.\n\n**Scope and provenance.** Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.\n\n**Source locators.** File_09 §3 and Appendix A (paired Mirror); File_18 §§2.1.3, 3.1 and 6A (regular fields and cumulative source members); File_61 §11.2 (original backward Joseph +110); File_62 collateral-scope guards; C05 admitted apparent field; C43 frozen graph; C95 and C100–C102 named carrier rows; preceding current certificates. The forthcoming 529 × 4 × 2 cycle has not been explored. The declared phase model does not infer an unstated birthday or event month from an annual source row.\n\n**Best next bounded step — High sufficient.** Apply the symbolic junction equations to N04 while retaining its two explicit G2-versus-G1 residuals and the fixed apparent row.\n", "evidenceLinks": [{"id": "d-be42daca1d82dac9", "title": "File 62"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d580afd48d6e12d6", "title": "File 61"}, {"id": "d-45851004c5864229", "title": "File 09"}]}