{"id": "c704", "title": "C704 — Reconstruct the fixed twelve-node phase field", "filename": "C704.md", "role": "Research action", "step": 704, "sha256": "d0353cd503f47d3642e4da110313e9bff82954ac65219a1947b3cb71c79d8c84", "bytes": 1582, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C704"], "download": "/sources/d0353cd503f47d3642e4da110313e9bff82954ac65219a1947b3cb71c79d8c84.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can one declared template reproduce every literal source node?", "content": "# C704 — Reconstruct the fixed twelve-node phase field\n\n## Question\n\nCan one declared template reproduce every literal source node?\n\n## Inputs\n\n```json\n{\n  \"literal_BC_pairs\": [\n    [\n      2939,\n      2938\n    ],\n    [\n      2937,\n      2936\n    ],\n    [\n      2935,\n      2934\n    ],\n    [\n      2909,\n      2908\n    ],\n    [\n      2907,\n      2906\n    ],\n    [\n      2905,\n      2904\n    ]\n  ],\n  \"chart\": \"t(B)=−B+3/4; n(B)=−B+1/4\",\n  \"scope\": \"literal existing set only\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §13.1; amendment-local status\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:18:24.581538+00:00\n\n## Results\n\n```json\n{\n  \"literal_coordinates\": [\n    \"-11753/4\",\n    \"-11751/4\",\n    \"-11745/4\",\n    \"-11743/4\",\n    \"-11737/4\",\n    \"-11735/4\",\n    \"-11633/4\",\n    \"-11631/4\",\n    \"-11625/4\",\n    \"-11623/4\",\n    \"-11617/4\",\n    \"-11615/4\"\n  ],\n  \"center\": -2921,\n  \"width\": \"69/2\",\n  \"template\": \"−2921+15r+2g+p/4\"\n}\n```\n\n## Finding\n\nThe declared six phase pairs form exactly the supplied twelve-node template centered at−2921 with width34.5. The template reconstructs a fixed admitted field; its local indices do not authorize new Gear or remote SKL states.\n\n## Reassessment\n\nTest the whole set under its declared affine reflection and translation.\n\n## Checks\n\n```json\n{\n  \"literal_template\": true,\n  \"distinct\": true,\n  \"geometry\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:18:24.581901+00:00\n\n## Record provenance\n\nExact record hash: `e5da07e2d7bf4e65cc13d71cbc5a327a5bb59a09044273f15c52c08b84c835ce`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}