{"id": "c1149", "title": "C1149 — Derive adjacent-cap remainder relations", "filename": "C1149.md", "role": "Research action", "step": 1149, "sha256": "f6ffa45a6ac3ee4d216831a4259e3ef0e91be7f2f47390f6896a1adededacbb5", "bytes": 1224, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1149"], "download": "/sources/f6ffa45a6ac3ee4d216831a4259e3ef0e91be7f2f47390f6896a1adededacbb5.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "When does a clipped ancestor’s remaining count equal the next capacity or next lifespan?", "content": "# C1149 — Derive adjacent-cap remainder relations\n\n## Question\n\nWhen does a clipped ancestor’s remaining count equal the next capacity or next lifespan?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1148\",\n  \"File18 §3.1.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:02:56.980369+00:00\n\n## Results\n\n```json\n{\n  \"adjacent_cap_relations\": {\n    \"path\": \"model/SP_cap_remainder_relations.json\",\n    \"sha256\": \"6c303c3e35f6e67041ad8bb85aff9b5d33d0bc089a1ef7c4e918d56cbce80f9d\",\n    \"bytes\": 598\n  }\n}\n```\n\n## Finding\n\nA clipped row’s algebraic remainder equals the next capacity. Adjacent clipped rows therefore share a remainder/life equality; across uncapped Enoch the equality is with capacity785, leaving the actual365 distinct.\n\n## Reassessment\n\nUse this source-local distinction to formulate a compact connection from the SP mechanism to the wider row grammar.\n\n## Checks\n\n```json\n{\n  \"all_capacity_equalities\": true,\n  \"Methuselah_Lamech\": true,\n  \"Enoch_capacity_not_life\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:02:56.980779+00:00\n\n## Record provenance\n\nExact record hash: `14e8b41dd604a1f53ec2eb334e71df92666b483ddcc7f1422a1f687083c580f9`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-6c303c3e35f6e670", "title": "model/SP_cap_remainder_relations.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}