{"id": "c1457", "title": "C1457 — Measure manuscript–mode interaction", "filename": "C1457.md", "role": "Research action", "step": 1457, "sha256": "a6b1f3f93fbd8e80fa241b752e757d823e72c1ef105957aea70d1193fe669d40", "bytes": 996, "origins": ["C480–C1634/Research_Cycles/C1433_C1482/journal.json#C1457"], "download": "/sources/a6b1f3f93fbd8e80fa241b752e757d823e72c1ef105957aea70d1193fe669d40.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Inverse"], "excerpt": "Can manuscript change and mode change be represented by one uniform head translation?", "content": "# C1457 — Measure manuscript–mode interaction\n\n## Question\n\nCan manuscript change and mode change be represented by one uniform head translation?\n\n## Sources\n\n```json\n[\n  \"Six primary inverse heads\"\n]\n```\n\n## Opened utc\n\n2026-09-29T01:17:04.334853+00:00\n\n## Results\n\n```json\n{\n  \"SP_minus_LXX_regular\": 1170,\n  \"SP_minus_LXX_cumulative\": 480,\n  \"difference_of_differences\": 690,\n  \"equivalent_mode_difference\": 690\n}\n```\n\n## Finding\n\nLXX→SP shifts Regular heads1170 but Cumulative heads480; the690 interaction is exactly500−(−190). A manuscript-wide constant translation would erase this source mode dependence.\n\n## Reassessment\n\nLook for source-named interior incidences in the stable SP cumulative branch instead.\n\n## Checks\n\n```json\n{\n  \"interaction690\": true\n}\n```\n\n## Closed utc\n\n2026-09-29T01:17:04.335620+00:00\n\n## Record provenance\n\nExact record hash: `e6325edf9120176cab355ad78ae4b37a0295c2528d359f482430a8aa3d776616`\n\nSource journal: `Research_Cycles/C1433_C1482/journal.json`", "journalDownload": "/sources/ca542c4d870fa9b9292d3dd24718f08766a5353e1b27cbb1e7c0d69061b00ecf.json"}