{"id": "c1454", "title": "C1454 — Explain the preserved MT–SP cumulative610 gap", "filename": "C1454.md", "role": "Research action", "step": 1454, "sha256": "80c7d6932a54054e929542b9bbea59f2ce0ecaa2b6dc1ffbd478ff7b87b86e55", "bytes": 1108, "origins": ["C480–C1634/Research_Cycles/C1433_C1482/journal.json#C1454"], "download": "/sources/80c7d6932a54054e929542b9bbea59f2ce0ecaa2b6dc1ffbd478ff7b87b86e55.md", "format": "md", "derived": true, "tags": ["Cumulative", "Inverse"], "excerpt": "Why does the MT–SP cumulative source-head gap survive both primary inverse stages?", "content": "# C1454 — Explain the preserved MT–SP cumulative610 gap\n\n## Question\n\nWhy does the MT–SP cumulative source-head gap survive both primary inverse stages?\n\n## Sources\n\n```json\n[\n  \"MT and SP cumulative original and inverse legs\"\n]\n```\n\n## Opened utc\n\n2026-09-29T01:16:15.058798+00:00\n\n## Results\n\n```json\n{\n  \"source_legs_difference\": [\n    120,\n    490\n  ],\n  \"inverse_legs_difference\": [\n    2100,\n    -1490\n  ],\n  \"head_gaps\": [\n    610,\n    610,\n    610\n  ],\n  \"intermediate_gaps\": [\n    120,\n    2100\n  ]\n}\n```\n\n## Finding\n\nThe common−1980 contraction preserves the610 head gap, while a1980 transfer changes component differences(120,490) to(2100,−1490). It preserves heads, not the full primary path.\n\n## Reassessment\n\nCompare the LXX upper-leg change, where the same contraction no longer applies.\n\n## Checks\n\n```json\n{\n  \"heads610\": true,\n  \"different_interiors\": true\n}\n```\n\n## Closed utc\n\n2026-09-29T01:16:15.059219+00:00\n\n## Record provenance\n\nExact record hash: `b9e5ee53f94d1a10866561bcff00b79f5c6c8898c53485ada33f3b331cf0d5a6`\n\nSource journal: `Research_Cycles/C1433_C1482/journal.json`", "journalDownload": "/sources/ca542c4d870fa9b9292d3dd24718f08766a5353e1b27cbb1e7c0d69061b00ecf.json"}