{"id": "c1183", "title": "C1183 — Expose the extra premise in the four-amplitude model", "filename": "C1183.md", "role": "Research action", "step": 1183, "sha256": "98e35b04ef52bbe8c8f2cba7634e77b21f026c3516d449b2f0397a0a12147336", "bytes": 1154, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1183"], "download": "/sources/98e35b04ef52bbe8c8f2cba7634e77b21f026c3516d449b2f0397a0a12147336.md", "format": "md", "derived": true, "tags": [], "excerpt": "What is lost when Eber40 and Nahor60 are tied to the century100?", "content": "# C1183 — Expose the extra premise in the four-amplitude model\n\n## Question\n\nWhat is lost when Eber40 and Nahor60 are tied to the century100?\n\n## Inputs\n\n```json\n{\n  \"relation\": \"e+n=u\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C1182\",\n  \"C1154\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:21:02.832105+00:00\n\n## Results\n\n```json\n{\n  \"model\": {\n    \"path\": \"model/whole_genealogy_four_model.json\",\n    \"sha256\": \"db6857df003663117809841c614779640cb386f165c4c8281cc8c8f03d5f8595\",\n    \"bytes\": 2952\n  },\n  \"rank5_to_rank4\": [\n    5,\n    4\n  ]\n}\n```\n\n## Finding\n\nThe four-amplitude form is exact only after adding the fitted relation40+60=100. It is a useful compression, but not an independent derivation of these source numerals.\n\n## Reassessment\n\nFind a small transparent observation set that recovers the five coefficients without totals.\n\n## Checks\n\n```json\n{\n  \"rank4\": true,\n  \"same_outputs\": true,\n  \"substitution_injective\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:21:02.839998+00:00\n\n## Record provenance\n\nExact record hash: `18b41b6eba02e1ee89dfcffeff38abcad5434e74bbf1d49b0954edeffc1c1c76`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-db6857df00366311", "title": "model/whole_genealogy_four_model.json"}]}