{"id": "c675", "title": "C675 — Recover all phase-envelope measurements", "filename": "C675.md", "role": "Research action", "step": 675, "sha256": "3f149368f56db83a220f69ca14dd071de2b7760d25b9e2ffc8cd2d37d2647d3a", "bytes": 1305, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C675"], "download": "/sources/3f149368f56db83a220f69ca14dd071de2b7760d25b9e2ffc8cd2d37d2647d3a.md", "format": "md", "derived": true, "tags": [], "excerpt": "Which widths belong to each suffix or cross-phase measurement?", "content": "# C675 — Recover all phase-envelope measurements\n\n## Question\n\nWhich widths belong to each suffix or cross-phase measurement?\n\n## Inputs\n\n```json\n{\n  \"corresponding_widths\": [\n    34,\n    40\n  ],\n  \"phase_offset\": \"1/2\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §4.3; C672–C674\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:10:59.990616+00:00\n\n## Results\n\n```json\n{\n  \"columns\": [\n    \"inner_cross\",\n    \"same_suffix\",\n    \"outer_cross\"\n  ],\n  \"rows\": [\n    [\n      \"67/2\",\n      34,\n      \"69/2\"\n    ],\n    [\n      \"79/2\",\n      40,\n      \"81/2\"\n    ]\n  ],\n  \"coordinate_width_gain\": 6,\n  \"scalar_normalization_gain\": \"11/2\"\n}\n```\n\n## Finding\n\nThe full phase table is33.5/34/34.5 before and39.5/40/40.5 after. Outward endpoint motion adds6 to every matched measurement, whereas34.5→40 adds5.5 because it changes measurement class. Those two statements are compatible once the measured objects are named.\n\n## Reassessment\n\nResolve the source’s recovered35 row using exact phase coordinates.\n\n## Checks\n\n```json\n{\n  \"rows\": true,\n  \"uniform_gain\": true,\n  \"different_class\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:10:59.990859+00:00\n\n## Record provenance\n\nExact record hash: `80b6104a4a9454c430bb592a91bf17c53d61c2ec2c1a6df99ecafc6badf7b7ae`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}