{"id": "c607", "title": "C607 — Derive role-specific generation carrier transport", "filename": "C607.md", "role": "Research action", "step": 607, "sha256": "30107ff32a9d59a2fb89b3c4ce9a8e36be4484e823717fdb74af9d5aff779b06", "bytes": 2000, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C607"], "download": "/sources/30107ff32a9d59a2fb89b3c4ce9a8e36be4484e823717fdb74af9d5aff779b06.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can the91/90 volume ratio describe coordinate transport when role offsets are retained?", "content": "# C607 — Derive role-specific generation carrier transport\n\n## Question\n\nCan the91/90 volume ratio describe coordinate transport when role offsets are retained?\n\n## Inputs\n\n```json\n{\n  \"u\": [\n    180,\n    182\n  ],\n  \"ratio\": \"91/90\",\n  \"role_constants\": [\n    46,\n    -64,\n    156,\n    46\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File69 generation cell rule; C587,C588,C606\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:26:59.896393+00:00\n\n## Results\n\n```json\n{\n  \"role_maps\": [\n    {\n      \"N\": 77,\n      \"source\": [\n        12646,\n        12536,\n        12576,\n        12466\n      ],\n      \"target\": [\n        12786,\n        12676,\n        12714,\n        12604\n      ],\n      \"role_maps_match\": true\n    },\n    {\n      \"N\": 63,\n      \"source\": [\n        10126,\n        10016,\n        10056,\n        9946\n      ],\n      \"target\": [\n        10238,\n        10128,\n        10166,\n        10056\n      ],\n      \"role_maps_match\": true\n    },\n    {\n      \"N\": 50,\n      \"source\": [\n        7786,\n        7676,\n        7716,\n        7606\n      ],\n      \"target\": [\n        7872,\n        7762,\n        7800,\n        7690\n      ],\n      \"role_maps_match\": true\n    }\n  ],\n  \"map\": \"y=q(x−c_role)+c_role\",\n  \"width_pairs\": [\n    [\n      4680,\n      4732\n    ],\n    [\n      5040,\n      5096\n    ]\n  ]\n}\n```\n\n## Finding\n\nThe generation cells admit affine transport separately by role, with constants46,−64,156,46. Their envelope widths scale91/90, but the different role constants prevent one global affine map. Indexed carrier substitution compiles into a family of role-specific maps.\n\n## Reassessment\n\nTest translation/dilation composition to distinguish moving a complete frame from moving dates alone.\n\n## Checks\n\n```json\n{\n  \"role_maps\": true,\n  \"widths\": true,\n  \"different_offsets\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:26:59.896707+00:00\n\n## Record provenance\n\nExact record hash: `5df10b9fe661732fdb6dc7df56f5b39fbb20d90fbaead9f133681c3d40d70592`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-e415d58136a6e9bc", "title": "File 69"}]}