{"id": "c1260", "title": "C1260 — Separate a shared scaling coefficient from the value five", "filename": "C1260.md", "role": "Research action", "step": 1260, "sha256": "11c4a0cc10047b7f5edbcc8e20b131b269bf6ba33ee6218e8cfdb8cef7cefb1b", "bytes": 1142, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1260"], "download": "/sources/11c4a0cc10047b7f5edbcc8e20b131b269bf6ba33ee6218e8cfdb8cef7cefb1b.md", "format": "md", "derived": true, "tags": ["Regular"], "excerpt": "What condition permits any common nonzero coefficientκ?", "content": "# C1260 — Separate a shared scaling coefficient from the value five\n\n## Question\n\nWhat condition permits any common nonzero coefficientκ?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1259\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:46:45.656980+00:00\n\n## Results\n\n```json\n{\n  \"common_coefficient\": {\n    \"path\": \"model/regular_kernel_common_coefficient.json\",\n    \"sha256\": \"15e4ece10cca099ee802d18df1a9385606604314efc2998858552a45c5008aca\",\n    \"bytes\": 450\n  },\n  \"source_kappa\": 5\n}\n```\n\n## Finding\n\nA common coefficient requires the ratio6C=13T. The specific valuefive additionally calibratesC to the centuryu. This distinguishes a shared structural ratio from its observed numerical scale.\n\n## Reassessment\n\nRelate thepair’s midpoint andhalfwidth to itsNoah950 comparison without adding independentconstraints.\n\n## Checks\n\n```json\n{\n  \"compatibility\": true,\n  \"kappa5\": true,\n  \"both_heads\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:46:45.657482+00:00\n\n## Record provenance\n\nExact record hash: `da6a9f4711f4dc3d8300fe6296ee8a3cef63f4fdf704c5f88dd36fed80fe03e5`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-15e4ece10cca099e", "title": "model/regular_kernel_common_coefficient.json"}]}