{"id": "c682", "title": "C682 — Separate translation from opening", "filename": "C682.md", "role": "Research action", "step": 682, "sha256": "35028dd30ec86177ff3073710ee530b2d8addc213ebf0fbb46ed4ad34bd1a966", "bytes": 1465, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C682"], "download": "/sources/35028dd30ec86177ff3073710ee530b2d8addc213ebf0fbb46ed4ad34bd1a966.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can one coordinate rule explain both the120 construction and the2940 closure?", "content": "# C682 — Separate translation from opening\n\n## Question\n\nCan one coordinate rule explain both the120 construction and the2940 closure?\n\n## Inputs\n\n```json\n{\n  \"changes\": {\n    \"translate80\": [\n      80,\n      80\n    ],\n    \"open10\": [\n      10,\n      -10\n    ],\n    \"open5\": [\n      5,\n      -5\n    ]\n  }\n}\n```\n\n## Sources\n\n```json\n[\n  \"C677,C680,C681\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:12:36.616587+00:00\n\n## Results\n\n```json\n{\n  \"effects\": {\n    \"translate80\": {\n      \"center_change\": 80,\n      \"width_change\": 0\n    },\n    \"open10\": {\n      \"center_change\": 0,\n      \"width_change\": 20\n    },\n    \"open5\": {\n      \"center_change\": 0,\n      \"width_change\": 10\n    }\n  },\n  \"general_rule\": \"delta_c=(delta_U+delta_L)/2; delta_w=delta_U−delta_L\"\n}\n```\n\n## Finding\n\nCenter and width provide a common language for two different mechanisms: translation moves the center while retaining width; symmetric opening widens the body while retaining center. The new sources instantiate both, so no single undifferentiated date shift explains the family.\n\n## Reassessment\n\nContinue the admitted alternating ladder across the BC/AD boundary using civil elapsed time.\n\n## Checks\n\n```json\n{\n  \"translation\": true,\n  \"opening\": true,\n  \"final\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:12:36.616956+00:00\n\n## Record provenance\n\nExact record hash: `a351a7a5c3fee6a9423402b95d80d68802fbbf922aa1712a0a73b450b4762a68`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}