{"id": "c565", "title": "C565 — Localize phase invariance in the Isaac partition", "filename": "C565.md", "role": "Research action", "step": 565, "sha256": "53ee5ef7cdebf4dbf3e1624855cd1509de1f0bee07012106f9585f931aba1082", "bytes": 1027, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C565"], "download": "/sources/53ee5ef7cdebf4dbf3e1624855cd1509de1f0bee07012106f9585f931aba1082.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can the complete dated partition be carried unchanged into the exact Aaron phase?", "content": "# C565 — Localize phase invariance in the Isaac partition\n\n## Question\n\nCan the complete dated partition be carried unchanged into the exact Aaron phase?\n\n## Inputs\n\n```json\n{\n  \"phase\": \"7/2\",\n  \"fixed_Conquest\": 1406\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §§17.3–17.7\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:15:33.289901+00:00\n\n## Results\n\n```json\n{\n  \"upper_common_phase\": 11760,\n  \"lower_fixed_terminal\": \"1687/2\",\n  \"changed_total\": \"25207/2\"\n}\n```\n\n## Finding\n\nThe upper11760 leg is phase-invariant when both ends move. The fixed-Conquest lower leg becomes843.5, so the840 and12600 dated partition belongs to its declared Nisan state.\n\n## Reassessment\n\nSeparate the Cainan and Apparent inputs in the12250 variant.\n\n## Checks\n\n```json\n{\n  \"upper\": true,\n  \"lower\": true,\n  \"not_same_total\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:15:33.290330+00:00\n\n## Record provenance\n\nExact record hash: `ae7dd178a3b19bb22dd9fd93ad95e75166470588e0419d0a0c03f465ba742067`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-d580afd48d6e12d6", "title": "File 61"}]}