{"id": "c1550", "title": "C1550 — Explain the4940 head separation", "filename": "C1550.md", "role": "Research action", "step": 1550, "sha256": "26dc1121458718c83e349a776bf630d4d32e6833556b2518ef20c1fe0efb63b6", "bytes": 879, "origins": ["C480–C1634/Research_Cycles/C1483_C1582/c1483_c1582/journal.json#C1550"], "download": "/sources/26dc1121458718c83e349a776bf630d4d32e6833556b2518ef20c1fe0efb63b6.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Do the lower and upper differences account for both Noah-partition comparisons?", "content": "# C1550 — Explain the4940 head separation\n\n## Question\n\nDo the lower and upper differences account for both Noah-partition comparisons?\n\n## Sources\n\n```json\n[]\n```\n\n## Opened utc\n\n2026-09-29T02:37:40.597565+00:00\n\n## Results\n\n```json\n{\n  \"source_head_gap\": 890,\n  \"source_decomposition\": [\n    910,\n    -20\n  ],\n  \"inverse_decomposition\": [\n    910,\n    4030\n  ],\n  \"Noah_head_gap\": 4940,\n  \"fully_refined_gap\": 4940\n}\n```\n\n## Finding\n\nThe source gap890=910−20 becomes inverse4940=910+4030; the common4320 split leaves that difference intact.\n\n## Reassessment\n\nClassify theSP equivalence among its selected partitions.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T02:37:40.597995+00:00\n\n## Record provenance\n\nExact record hash: `d0f8eb7985f4a6298dd67cebbc106a69254749998970e35d25436c8b79ad3bdd`\n\nSource journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`", "journalDownload": "/sources/7241bc8dee3ba293341214bcb88dc4f80832f7d0207eb9e07f9364c06d3847c8.json"}