{"id": "c1143", "title": "C1143 — Express the SP changes as capacity reductions against baseline slack", "filename": "C1143.md", "role": "Research action", "step": 1143, "sha256": "36cf795b61ce99f051a955077bbcb7c8adb7492737f6b786234c96c249b25dd7", "bytes": 1511, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1143"], "download": "/sources/36cf795b61ce99f051a955077bbcb7c8adb7492737f6b786234c96c249b25dd7.md", "format": "md", "derived": true, "tags": [], "excerpt": "Does one positive-part formula explain all three clipped rows and the six unchanged lives?", "content": "# C1143 — Express the SP changes as capacity reductions against baseline slack\n\n## Question\n\nDoes one positive-part formula explain all three clipped rows and the six unchanged lives?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File18 §§2.1.3,3.1.3\",\n  \"C1142\",\n  \"C953–C970\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:01:17.628424+00:00\n\n## Results\n\n```json\n{\n  \"slack_transfer\": {\n    \"path\": \"model/SP_capacity_slack_transfer.json\",\n    \"sha256\": \"7f737584f8e0dd53f2a57af2a4fa39e337666e91bbc66594a19bc6f82f4d2e25\",\n    \"bytes\": 696\n  },\n  \"capacity_reductions\": [\n    350,\n    350,\n    350,\n    350,\n    350,\n    350,\n    250,\n    250,\n    130\n  ],\n  \"slack\": [\n    727,\n    615,\n    517,\n    422,\n    367,\n    235,\n    670,\n    1,\n    6\n  ],\n  \"life_reductions\": [\n    0,\n    0,\n    0,\n    0,\n    0,\n    115,\n    0,\n    249,\n    124\n  ]\n}\n```\n\n## Finding\n\nA single threshold law generates the whole SP reduction field: only capacity loss exceeding pre-existing baseline slack reduces a life. Jared crosses by115, Methuselah by249, Lamech by124; the other six retain slack.\n\n## Reassessment\n\nSeparate the role of age-change location from its total350 capacity reduction.\n\n## Checks\n\n```json\n{\n  \"three_reductions\": true,\n  \"sum488\": true,\n  \"identity_all_rows\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:01:17.628747+00:00\n\n## Record provenance\n\nExact record hash: `1c1f33cefd0a72109baa242258edbdd5270e953b81cf795d342e13f5ff66af3c`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-7f737584f8e0dd53", "title": "model/SP_capacity_slack_transfer.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}