{"id": "c1166", "title": "C1166 — Propagate the disjoint source pattern through the whole cumulative field", "filename": "C1166.md", "role": "Research action", "step": 1166, "sha256": "0efa024abd7bbde7000756afcaec7b7d202dde6e1b89815f29f731f4aa2d48f1", "bytes": 1340, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1166"], "download": "/sources/0efa024abd7bbde7000756afcaec7b7d202dde6e1b89815f29f731f4aa2d48f1.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "Does the three-amplitude model retain its meaning at every ordered boundary?", "content": "# C1166 — Propagate the disjoint source pattern through the whole cumulative field\n\n## Question\n\nDoes the three-amplitude model retain its meaning at every ordered boundary?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1165\",\n  \"inherited U reconstruction\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:09:59.599751+00:00\n\n## Results\n\n```json\n{\n  \"cumulative_pattern\": {\n    \"path\": \"model/SP_LXX_cumulative_amplitude_pattern.json\",\n    \"sha256\": \"e636ce7c4b437dc61d4ef11a76b1bad546c0c272bd29adbd0a9549f778710d4d\",\n    \"bytes\": 805\n  },\n  \"rank\": 3,\n  \"complete_field\": [\n    574,\n    574,\n    547,\n    520,\n    420,\n    320,\n    220,\n    120,\n    60\n  ]\n}\n```\n\n## Finding\n\nThe same three amplitudes generate all nine cumulative differences574,574,547,520,420,320,220,120,60. Repeated and changing plateaus follow the exact source support; the cumulative representation retains all three parameters.\n\n## Reassessment\n\nSeparate the triangle’s operator consistency from genuinely additional source constraints.\n\n## Checks\n\n```json\n{\n  \"rank_preserved\": true,\n  \"fullfield\": true,\n  \"local_recovered\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:09:59.603522+00:00\n\n## Record provenance\n\nExact record hash: `da4419e472011aace1c1cff3084ef8c6e6c64eb330f53b588ab53d7826661ff0`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-e636ce7c4b437dc6", "title": "model/SP_LXX_cumulative_amplitude_pattern.json"}]}