{"id": "c1136", "title": "C1136 — Bound the residual age freedom by the whole cap", "filename": "C1136.md", "role": "Research action", "step": 1136, "sha256": "c2d51ac50ac4b873946f7c0bcc86407c57f4fc6d3e99fb3541db1e65e69665fb", "bytes": 1170, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1136"], "download": "/sources/c2d51ac50ac4b873946f7c0bcc86407c57f4fc6d3e99fb3541db1e65e69665fb.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "Do positivity and all nine cap inequalities identify the shared age scale?", "content": "# C1136 — Bound the residual age freedom by the whole cap\n\n## Question\n\nDo positivity and all nine cap inequalities identify the shared age scale?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1134–C1135\",\n  \"File18 §3.1.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:59:16.095938+00:00\n\n## Results\n\n```json\n{\n  \"inequality_model\": {\n    \"path\": \"model/SP_age_cap_inequalities.json\",\n    \"sha256\": \"3bc99eb9d464d5649ce7756d19131a50985dbb4272fa69301647bc5b2bbbee5e\",\n    \"bytes\": 980\n  },\n  \"integer_scale_range\": [\n    48,\n    126\n  ]\n}\n```\n\n## Finding\n\nThe full cap permits a broad positive-age scale interval; explicit alternatives at48 and126 retain every capped lifespan. Its source value65 needs additional information.\n\n## Reassessment\n\nTest the source-motivated five-year grid and observed early-age order with65 retained.\n\n## Checks\n\n```json\n{\n  \"all_positive\": true,\n  \"same_nine_outputs\": true,\n  \"bounds_witnessed\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:59:16.096334+00:00\n\n## Record provenance\n\nExact record hash: `254450843608614814d7abfc56d2ac74743931bae98a70746a904053f0d2d435`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-3bc99eb9d464d564", "title": "model/SP_age_cap_inequalities.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}