{"id": "c502", "title": "C502 — Cross-Key coincidence at2926", "filename": "C502.md", "role": "Research action", "step": 502, "sha256": "3a083ee551138d52c3977ca9c9dbbe81f1a217646d64a80b5cafa6cb2292f529", "bytes": 1215, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C502"], "download": "/sources/3a083ee551138d52c3977ca9c9dbbe81f1a217646d64a80b5cafa6cb2292f529.md", "format": "md", "derived": true, "tags": ["Calendar Keys"], "excerpt": "Which part of the Jared-E / Noah-P agreement follows from the calendar ratios?", "content": "# C502 — Cross-Key coincidence at2926\n\n## Question\n\nWhich part of the Jared-E / Noah-P agreement follows from the calendar ratios?\n\n## Inputs\n\n```json\n{\n  \"A\": 12026,\n  \"Jared_radius\": 8372,\n  \"Noah_radius\": 8970\n}\n```\n\n## Sources\n\n```json\n[\n  \"File52c §3.15.3\",\n  \"C500–C501\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:44:21.365948+00:00\n\n## Results\n\n```json\n{\n  \"E_over_P\": \"15/14\",\n  \"source_radius_ratio\": \"15/14\",\n  \"Jared_E_endpoint\": 2926,\n  \"Noah_P_endpoint\": 2926,\n  \"necessary_relation\": \"D_E,A(x)=D_P,A(y) iff (A-y)/(A-x)=E/P, for nonzero radii\"\n}\n```\n\n## Finding\n\nThe equality is forced by the supplied14:15 radius ratio and E/P=15/14. It is one dependent consequence of the calendar calibration and source placement, not an additional freely selected match. The initial coefficient14 remains a source constraint.\n\n## Reassessment\n\nTest which portions of the equal-step field transfer to LXX and SP at the unchanged anchor.\n\n## Checks\n\n```json\n{\n  \"endpoint\": true,\n  \"ratio\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:44:21.366314+00:00\n\n## Record provenance\n\nExact record hash: `2c86a2d97b10041937f8a4ae3964dd1894f039f0ba41304cec7f6aa9b9dae35f`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}