{"id": "c488", "title": "C488 — Cainan as a cross-mode vector", "filename": "C488.md", "role": "Research action", "step": 488, "sha256": "d99ee17d5e23587fe5f80a848cbb6e8120addbf640a8437538cc0447bfe51d1f", "bytes": 1153, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C488"], "download": "/sources/d99ee17d5e23587fe5f80a848cbb6e8120addbf640a8437538cc0447bfe51d1f.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded", "Inverse", "Calendar Keys"], "excerpt": "Which shared structures survive the admitted 130/460 insertion?", "content": "# C488 — Cainan as a cross-mode vector\n\n## Question\n\nWhich shared structures survive the admitted 130/460 insertion?\n\n## Inputs\n\n```json\n{\n  \"delta_R\": 130,\n  \"delta_C\": 460,\n  \"MT_bridge\": 9890\n}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§3.2,4.4\",\n  \"File18 Cainan controls\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:39:26.289098+00:00\n\n## Results\n\n```json\n{\n  \"bridge_change\": 330,\n  \"weighted_point_change\": 394,\n  \"restored_bridge\": 10220,\n  \"Sothic_factor\": 7,\n  \"finite_state_rule\": \"OFF -> ON once where admitted; native LXX starts ON\"\n}\n```\n\n## Finding\n\nOne inserted row accounts for both130 and460, increases the cumulative–regular bridge by330, and sends9890 to10220=7×1460. It shifts the weighted point by394, so it is not a12026-preserving operation.\n\n## Reassessment\n\nCheck whether the rounded regular reversal construction survives native LXX inputs.\n\n## Checks\n\n```json\n{\n  \"bridge\": true,\n  \"weighted_shift\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:39:26.289320+00:00\n\n## Record provenance\n\nExact record hash: `81ce12908cdbb31a2fea6cbebbe635805da6fc1db08b73041dcb9737a0999cf3`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}