{"id": "c947", "title": "C947 — A diagnostic against tautology", "filename": "C947.md", "role": "Research action", "step": 947, "sha256": "9773d55f299356e9718fda1f93404021dcd42c33994beae6c4b960cd3fa67d84", "bytes": 1219, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C947"], "download": "/sources/9773d55f299356e9718fda1f93404021dcd42c33994beae6c4b960cd3fa67d84.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Inverse"], "excerpt": "Does keeping the original totals and 4:1 weight ensure inverse convergence?", "content": "# C947 — A diagnostic against tautology\n\n## Question\n\nDoes keeping the original totals and 4:1 weight ensure inverse convergence?\n\n## Inputs\n\n```json\n{\n  \"source_cumulative\": [\n    9170,\n    3430\n  ],\n  \"diagnostic_only\": [\n    9970,\n    2630\n  ],\n  \"regular_total\": 2700,\n  \"anchor\": 1406\n}\n```\n\n## Sources\n\n```json\n[\n  \"C936\",\n  \"C940\",\n  \"C946\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:43:25.817601+00:00\n\n## Results\n\n```json\n{\n  \"weighted_radius\": 10620,\n  \"source_reverse\": 10620,\n  \"diagnostic_reverse\": 11610,\n  \"diagnostic_reverse_anchor\": 13016,\n  \"status\": \"unadmitted arithmetic control\"\n}\n```\n\n## Finding\n\nFixed original totals retain the weighted radius but permit a different inverse branch. The convergence therefore uses an additional register-and-carry condition.\n\n## Reassessment\n\nDerive the weight from the actual aggregate gains and compare its status with the state-shift derivation.\n\n## Checks\n\n```json\n{\n  \"totals_held\": true,\n  \"weight_held\": true,\n  \"inverse_differs\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:43:25.817779+00:00\n\n## Record provenance\n\nExact record hash: `6a880b1af614e0927c57da6c4151f60aca01a3e4ad683b8643f5c6ecfba64d3e`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}