{"id": "c104", "title": "C104 — The extension separates new coordinates from recovered graph connections", "filename": "490d_C104_Mirror_Report_20260922.md", "role": "Research action", "step": 104, "sha256": "ae548999adfd214e9813c3d2169d851ae600223dbef80993e7a2de8ea761eef6", "bytes": 2908, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_graph_confluence_20260922/C104/490d_C104_Mirror_Report_20260922.md"], "download": "/sources/ae548999adfd214e9813c3d2169d851ae600223dbef80993e7a2de8ea761eef6.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C104 — The extension separates new coordinates from recovered graph connections\n\n22 September 2026 · Step 2 of the authorized ten-step Mirror continuation (C103–C112).\n\nThis audit treats each node centre as an unknown and each recorded duration/reflection as a linear equation. Source coordinates are used to check consi", "content": "# C104 — The extension separates new coordinates from recovered graph connections\n\n22 September 2026 · Step 2 of the authorized ten-step Mirror continuation (C103–C112).\n\nThis audit treats each node centre as an unknown and each recorded duration/reflection as a linear equation. Source coordinates are used to check consistency but are not inserted as one-node constraints. Thus the calculation measures the recorded relation system, rather than declaring every known date an independent equation.\n\n| Measure | C43 baseline | C103 extension |\n| --- | --- | --- |\n| Variables | 81 | 85 |\n| Exact rank | 77 | 82 |\n| Free coordinates | 4 | 3 |\n| Connected components | 5 | 4 |\n\nThe seven new duration equations add **5 ranks** while adding four unknowns. Of the seven, **2 are dependent** in the declared admission order. Pivot selection changes with equation order; total rank does not. The certificate lists the independent and dependent admissions.\n\nThis is algebraic independence within the frozen typed graph. Source membership is a separate evidential condition: a numerical coordinate does not by itself identify Joseph or validate the chosen cumulative member. Neither the graph rank nor the number of new rows counts independent historical witnesses.\n\n**Validation.** 7 exact arithmetic/structural checks passed. The 13 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.** Attach the selected Kohath records and the original Joseph +110 source equations, then distinguish interval placement from source identity.\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"}]}