{"id": "c555", "title": "C555 — Specify the finite clutch action", "filename": "C555.md", "role": "Research action", "step": 555, "sha256": "f23f38648a0e819c85330bde2b8b58f04b89aa5b6122403e5e80468e39bce80b", "bytes": 1171, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C555"], "download": "/sources/f23f38648a0e819c85330bde2b8b58f04b89aa5b6122403e5e80468e39bce80b.md", "format": "md", "derived": true, "tags": ["Covenant"], "excerpt": "What symmetry is licensed by the three admitted displacement states?", "content": "# C555 — Specify the finite clutch action\n\n## Question\n\nWhat symmetry is licensed by the three admitted displacement states?\n\n## Inputs\n\n```json\n{\n  \"displacements\": [\n    0,\n    7,\n    14\n  ],\n  \"example\": 1933\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §7.3A; File62 §1\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:13:07.094413+00:00\n\n## Results\n\n```json\n{\n  \"rail\": [\n    1933,\n    1926,\n    1919\n  ],\n  \"half_step_edges\": [\n    [\n      0,\n      7\n    ],\n    [\n      7,\n      14\n    ]\n  ],\n  \"composite_edge\": [\n    0,\n    14\n  ],\n  \"third_half_step\": 1912,\n  \"third_step_admitted\": false\n}\n```\n\n## Finding\n\nH7 composed twice equals T14 on the declared original-to-full domain. The admitted rails form a finite directed chain, not a closed translation group. Historical event anchors remain fixed.\n\n## Reassessment\n\nGenerate Joseph collateral intervals from the same root boundaries.\n\n## Checks\n\n```json\n{\n  \"composition\": true,\n  \"finite_domain\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:13:07.094612+00:00\n\n## Record provenance\n\nExact record hash: `0d829b55576be04021e284e9c95f41054fe5e95b28d71c356cc7c4f65789d568`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-be42daca1d82dac9", "title": "File 62"}, {"id": "d-d580afd48d6e12d6", "title": "File 61"}]}