{"id": "c680", "title": "C680 — Generate the exterior Prophetic opening", "filename": "C680.md", "role": "Research action", "step": 680, "sha256": "4b16649ea0968e188a3f19e7c9506b6a72b95c9d88bc04098f177e8901bf21f7", "bytes": 1354, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C680"], "download": "/sources/4b16649ea0968e188a3f19e7c9506b6a72b95c9d88bc04098f177e8901bf21f7.md", "format": "md", "derived": true, "tags": [], "excerpt": "Does converting only the two outer cores recover the supplied2930 ladder?", "content": "# C680 — Generate the exterior Prophetic opening\n\n## Question\n\nDoes converting only the two outer cores recover the supplied2930 ladder?\n\n## Inputs\n\n```json\n{\n  \"native\": [\n    4326,\n    4296,\n    3606,\n    3576,\n    2886,\n    2856,\n    2166,\n    2136,\n    1446,\n    1416\n  ],\n  \"outer_core_gain\": 10\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §3.2\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:12:11.959476+00:00\n\n## Results\n\n```json\n{\n  \"opened_ladder\": [\n    4336,\n    4306,\n    3606,\n    3576,\n    2886,\n    2856,\n    2166,\n    2136,\n    1436,\n    1406\n  ],\n  \"gaps\": [\n    30,\n    700,\n    30,\n    690,\n    30,\n    690,\n    30,\n    700,\n    30\n  ],\n  \"widths\": [\n    2910,\n    2930\n  ],\n  \"centers\": [\n    2871,\n    2871\n  ]\n}\n```\n\n## Finding\n\nTwo ten-year core gains produce the complete source2930 ladder while preserving the six inner nodes, every30 flank and midpoint2871. This is selective opening, not P applied to the whole2910 span.\n\n## Reassessment\n\nAdd the source’s final five-year boundary displacements and identify the conserved quantity.\n\n## Checks\n\n```json\n{\n  \"source\": true,\n  \"gaps\": true,\n  \"selective\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:12:11.959697+00:00\n\n## Record provenance\n\nExact record hash: `7258bcf80daec442b6b73da230c778d113d247ac031687675dcc1cbde8a0b143`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}