{"id": "c554", "title": "C554 — Separate endpoint and whole-rail translation", "filename": "C554.md", "role": "Research action", "step": 554, "sha256": "27c1f3e235e2a0f92001dc33ec54a56920795abb3a22e771cb8a728bd40d628e", "bytes": 1242, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C554"], "download": "/sources/27c1f3e235e2a0f92001dc33ec54a56920795abb3a22e771cb8a728bd40d628e.md", "format": "md", "derived": true, "tags": ["Cumulative", "Covenant"], "excerpt": "Which spans contract when the clutch moves only a parent boundary?", "content": "# C554 — Separate endpoint and whole-rail translation\n\n## Question\n\nWhich spans contract when the clutch moves only a parent boundary?\n\n## Inputs\n\n```json\n{\n  \"lifespans\": [\n    175,\n    180,\n    147,\n    137,\n    133,\n    137\n  ],\n  \"clutch\": 14\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §7.4; §§17.2–17.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:12:55.834605+00:00\n\n## Results\n\n```json\n{\n  \"parent_only\": [\n    161,\n    166,\n    133,\n    123,\n    119,\n    123\n  ],\n  \"both_ends\": [\n    175,\n    180,\n    147,\n    137,\n    133,\n    137\n  ],\n  \"Isaac_only_Abraham_fixed\": 189,\n  \"derived_terminal_to_fixed_Exodus\": 66\n}\n```\n\n## Finding\n\nOne-end translation contracts each lifespan; whole-rail translation preserves it. Outputs166 and119 remain part of the family. Moving Isaac alone makes189, showing why endpoint roles are indispensable.\n\n## Reassessment\n\nDetermine the exact local composition law for half and full clutch.\n\n## Checks\n\n```json\n{\n  \"contractions\": true,\n  \"opposite_endpoint\": true,\n  \"terminal\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:12:55.834804+00:00\n\n## Record provenance\n\nExact record hash: `a626ce59056739d0391c7896af2c112ae74e728c23542e34a73ce7be958ab294`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-d580afd48d6e12d6", "title": "File 61"}]}