{"id": "c780", "title": "C780 — Test both Terah projection paths", "filename": "C780.md", "role": "Research action", "step": 780, "sha256": "706845b876b4d7652344e4d4b34732d7f7ae0fbbd7a77741c3f90ea90f0bd03d", "bytes": 1136, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C780"], "download": "/sources/706845b876b4d7652344e4d4b34732d7f7ae0fbbd7a77741c3f90ea90f0bd03d.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "Do the two-step and direct row changes agree without identifying their meanings?", "content": "# C780 — Test both Terah projection paths\n\n## Question\n\nDo the two-step and direct row changes agree without identifying their meanings?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C779\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:01:37.339434+00:00\n\n## Results\n\n```json\n{\n  \"row_changes\": [\n    [\n      0,\n      60\n    ],\n    [\n      60,\n      -60\n    ],\n    [\n      60,\n      0\n    ]\n  ],\n  \"regular_cumulative_changes\": [\n    [\n      0,\n      60\n    ],\n    [\n      60,\n      0\n    ],\n    [\n      60,\n      60\n    ]\n  ]\n}\n```\n\n## Finding\n\nThe projected route(0,60)+(60,0) equals(60,60). MT/LXX+60 preserves life205, while the compatible SP145→205 route changes life. A regular shift alone cannot specify its cumulative realization.\n\n## Reassessment\n\nDistinguish the secondary Rounded cumulative+60 block from raw Terah repartition.\n\n## Checks\n\n```json\n{\n  \"row_closure\": true,\n  \"projection_closure\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:01:37.339710+00:00\n\n## Record provenance\n\nExact record hash: `cb371d29fe2b6052be88e1b40d5b8847c455297cd5aeabf4559d9bb9f4f47cc3`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json"}