{"id": "c693", "title": "C693 — Explain the dual-route convergence balance", "filename": "C693.md", "role": "Research action", "step": 693, "sha256": "229467fe7b9e3ea0feefdc31c2658f362960280725a1486f5ba90c7ec6b14284", "bytes": 1299, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C693"], "download": "/sources/229467fe7b9e3ea0feefdc31c2658f362960280725a1486f5ba90c7ec6b14284.md", "format": "md", "derived": true, "tags": [], "excerpt": "Which differences are premises and which are consequences of the common head?", "content": "# C693 — Explain the dual-route convergence balance\n\n## Question\n\nWhich differences are premises and which are consequences of the common head?\n\n## Inputs\n\n```json\n{\n  \"source_states\": [\n    4114,\n    4304\n  ],\n  \"anchors\": [\n    1446,\n    1406\n  ],\n  \"gains\": [\n    232,\n    42\n  ],\n  \"completed_radii\": [\n    2900,\n    2940\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"C692; Supplement A §9\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:15:37.510819+00:00\n\n## Results\n\n```json\n{\n  \"source_gap\": 190,\n  \"gain_gap\": 190,\n  \"anchor_gap\": 40,\n  \"completed_radius_gap\": 40,\n  \"source_components\": [\n    60,\n    130\n  ]\n}\n```\n\n## Finding\n\nThe two source states differ190=60+130, exactly balanced by their Key-gain difference232−42. Their completed radii differ40, matching the anchor separation. These equations explain convergence without turning the generated head into a transmitted Creation date.\n\n## Reassessment\n\nRecover the internal source partition under its declared anchoredP route.\n\n## Checks\n\n```json\n{\n  \"gain_balance\": true,\n  \"anchor_balance\": true,\n  \"source_components\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:15:37.511054+00:00\n\n## Record provenance\n\nExact record hash: `1d72aee4ddb7fbe300f83ad589ab3235dbf19a933e28e4d85aab9303dd420859`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}