{"id": "c487", "title": "C487 — A shared row grammar", "filename": "C487.md", "role": "Research action", "step": 487, "sha256": "31629eb589348c8c1aae8dc0f6423f3d195a7467c2f8d56b63482fc2e443df8a", "bytes": 1747, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C487"], "download": "/sources/31629eb589348c8c1aae8dc0f6423f3d195a7467c2f8d56b63482fc2e443df8a.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "What common rule generates divergent regular and cumulative changes?", "content": "# C487 — A shared row grammar\n\n## Question\n\nWhat common rule generates divergent regular and cumulative changes?\n\n## Inputs\n\n```json\n{\n  \"compatible_row\": [\n    \"b\",\n    \"r\"\n  ],\n  \"lifespan\": \"b+r\",\n  \"regular_selector\": [\n    1,\n    0\n  ],\n  \"cumulative_selector\": [\n    1,\n    1\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§3.2,5B\",\n  \"C485–C486\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:39:11.631579+00:00\n\n## Results\n\n```json\n{\n  \"row_moves\": {\n    \"repartition_100\": {\n      \"regular_effect\": 100,\n      \"cumulative_effect\": 0,\n      \"remainder_effect\": -100\n    },\n    \"LXX_Lamech\": {\n      \"regular_effect\": 0,\n      \"cumulative_effect\": -24,\n      \"remainder_effect\": -24\n    },\n    \"insert_Cainan\": {\n      \"regular_effect\": 130,\n      \"cumulative_effect\": 460,\n      \"remainder_effect\": 330\n    }\n  },\n  \"regular_formula\": \"anchor_R + sum(selected begetting intervals) + declared boundary terms\",\n  \"cumulative_formula\": \"anchor_C + sum(selected lifespans) + declared phase terms\",\n  \"projection_matrix\": [\n    [\n      1,\n      0\n    ],\n    [\n      1,\n      1\n    ]\n  ],\n  \"determinant\": 1\n}\n```\n\n## Finding\n\nA richer source row supports two distinct measurements. Repartition lies in the cumulative kernel; a lifespan-only change can leave the regular projection fixed. This explains family divergence without a universal map between their endpoints.\n\n## Reassessment\n\nTest the admitted Cainan insertion as a concrete cross-mode vector.\n\n## Checks\n\n```json\n{\n  \"repartition_kernel\": true,\n  \"insertion\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:39:11.631755+00:00\n\n## Record provenance\n\nExact record hash: `cf03e97da2b1013fa5cbae893db9813e84e6a7d80e85f5acb0531ac9f1c5b81f`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json"}