{"id": "c97", "title": "C97 — The first 529+23 triangle is now source qualified", "filename": "490d_C97_Mirror_Report_20260922.md", "role": "Research action", "step": 97, "sha256": "df16ef8a00ffd0ca2d9a98c61c9a84302b5a7bfeff33610ca2bc2d5b68c7d8eb", "bytes": 3562, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_apparent_midpoint_20260922/C97/490d_C97_Mirror_Report_20260922.md"], "download": "/sources/df16ef8a00ffd0ca2d9a98c61c9a84302b5a7bfeff33610ca2bc2d5b68c7d8eb.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C97 — The first 529+23 triangle is now source qualified\n\n22 September 2026 · Step 5 of the authorized ten-step Mirror continuation (C93–C102).\n\nThe new apparent-Creation→Joseph-closing interval supplies the missing source qualification for C05's first-stage arithmetic:\n\n\\\n6348\\xrightarrow+5296877\\xrightarrow+236900,\n\\q", "content": "# C97 — The first 529+23 triangle is now source qualified\n\n22 September 2026 · Step 5 of the authorized ten-step Mirror continuation (C93–C102).\n\nThe new apparent-Creation→Joseph-closing interval supplies the missing source qualification for C05's first-stage arithmetic:\n\n\\[\n6348\\xrightarrow{+529}6877\\xrightarrow{+23}6900,\n\\qquad 552=529+23.\n\\]\n\nThe five intervals needed for this and C05's retained second triangle are:\n\n| Interval | Signed source endpoints | Width |\n| --- | --- | --- |\n| U | [-4444, 1904] | 6348 |\n| A | [-4421, 2456] | 6877 |\n| C | [-4444, 2456] | 6900 |\n| B | [-4419, 3056] | 7475 |\n| D | [-4444, 3056] | 7500 |\n\n```mermaid\nflowchart LR\n U[\"6348\"] -->|\"13/12\"| A[\"6877\"]\n A -->|\"300/299\"| C[\"6900\"]\n U -->|\"25/23\"| C\n C -->|\"13/12\"| B[\"7475\"]\n B -->|\"300/299\"| D[\"7500\"]\n C -->|\"25/23\"| D\n```\n\nThe 13/12 arrows are derived comparisons between the specified intervals. The 300/299 arrows hold the right endpoint and extend the left. Their product is 25/23, whose direct action uses the fixed apparent anchor−4444.\n\nFrom U to A, the left endpoint advances 23 while Joseph 1904 advances 552 to MT Flood 2456, so the width increases 529. Extending A leftward by 23 then restores the apparent anchor and produces C. The retained second triangle similarly gives 6900→7475→7500, with gains 575+25=600.\n\nThe apparent 25/23 map sends the entire first triangle U/A/C to the second C/B/D, including both seasonal components. This is now a comparison of named source intervals throughout. The new contribution is the first triangle's original-Joseph base; the second triangle and its apparent field were established in C05.\n\nThe labels 13/12 and 300/299 do not introduce new canonical chronology operators. The next step makes the anchors behind the two 13/12 comparisons explicit, so the ratio labels do not conceal different affine maps.\n\n**Validation.** 11 exact arithmetic/structural checks passed. The 20 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 and exact phase); File_18 §§2.1.3, 2.4, 3.1 and 6/6A (regular fields and cumulative collateral source); File_61 §§3.3–3.4, 11.1–11.4 and 14.3 (fixed Jacob events, original Joseph portion and its 500-year Conquest comparison); File_62 collateral-scope guards; C01/C05 retained endpoint and apparent-field results; frozen C15/C43/C65/C67/C68/C74–C76/C86/C89/C92 dependencies (source, phase and family controls). 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.** Derive the affine anchors of the two 13/12 comparisons and test their conjugacy under the retained 25/23 map.\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"}]}