{"id": "c489", "title": "C489 — LXX rounded path transfer", "filename": "C489.md", "role": "Research action", "step": 489, "sha256": "a9e6310e09f1464736cc3ce63ba8eb9f79855d6b447939755653a33e97731c03", "bytes": 1496, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C489"], "download": "/sources/a9e6310e09f1464736cc3ce63ba8eb9f79855d6b447939755653a33e97731c03.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded", "Inverse"], "excerpt": "Does the admitted Noah refinement preserve the rounded reversal endpoint in native LXX?", "content": "# C489 — LXX rounded path transfer\n\n## Question\n\nDoes the admitted Noah refinement preserve the rounded reversal endpoint in native LXX?\n\n## Inputs\n\n```json\n{\n  \"rounded_creation\": 5486,\n  \"rounded_Adam_Noah\": 1650,\n  \"Noah_Flood\": 600,\n  \"Conquest\": 1406\n}\n```\n\n## Sources\n\n```json\n[\n  \"File51a §§2,17.3\",\n  \"File18 §4.1\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:39:48.590457+00:00\n\n## Results\n\n```json\n{\n  \"derived_rounded_Noah\": 3836,\n  \"derived_rounded_Flood\": 3236,\n  \"paths\": {\n    \"primary\": {\n      \"segments\": [\n        2250,\n        1830\n      ],\n      \"inverse_segments\": [\n        5220,\n        3810\n      ],\n      \"endpoint\": 10436\n    },\n    \"Noah_refinement\": {\n      \"segments\": [\n        1650,\n        600,\n        1830\n      ],\n      \"inverse_segments\": [\n        5610,\n        600,\n        3810\n      ],\n      \"endpoint\": 11426\n    }\n  }\n}\n```\n\n## Finding\n\nLXX endpoints10436 and11426 differ990. The same path evaluator transfers, but MT’s equality under Noah refinement does not. The cumulative LXX branch remains uninstantiated, not silently approximated.\n\n## Reassessment\n\nTest SP through its positively supplied block relations rather than an absent rounded path.\n\n## Checks\n\n```json\n{\n  \"primary\": true,\n  \"refinement\": true,\n  \"difference\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:39:48.590669+00:00\n\n## Record provenance\n\nExact record hash: `9fecbe41b9475fec06582eae9bd92e70ed09f6cd679dd7350c149cd24898f1b5`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}