{"id": "c784", "title": "C784 — Transfer full residual vectors through finite variants", "filename": "C784.md", "role": "Research action", "step": 784, "sha256": "ce3b4ead7f06d522d2ede695b844670ecbcd8495dccddaed94b7642c51e0dca9", "bytes": 1242, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C784"], "download": "/sources/ce3b4ead7f06d522d2ede695b844670ecbcd8495dccddaed94b7642c51e0dca9.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded"], "excerpt": "Does rounding retain its coordinate discrepancies throughout the admitted MT configuration?", "content": "# C784 — Transfer full residual vectors through finite variants\n\n## Question\n\nDoes rounding retain its coordinate discrepancies throughout the admitted MT configuration?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File51a 23 regular and26 cumulative paired rows; C760,C772\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:02:37.310204+00:00\n\n## Results\n\n```json\n{\n  \"residuals\": {\n    \"path\": \"model/variant_residual_vectors.json\",\n    \"sha256\": \"8ec539b81d93e426a3dbfa143ea51f46d05c08288af75e4b302b27093a9040b8\",\n    \"bytes\": 4203\n  },\n  \"basis\": \"row-level Q(n+5k)=Q(n)+5k; coordinate calculation is its consequence\"\n}\n```\n\n## Finding\n\nAll existing23 regular and26 cumulative MT residual coordinates persist under their compatible admitted state moves. This transfers the whole field, while keeping raw cumulative Terah/Sojourn choices forgotten.\n\n## Reassessment\n\nEvaluate the new Cainan coordinate on both Actual and Rounded rails.\n\n## Checks\n\n```json\n{\n  \"regular_invariance\": true,\n  \"cumulative_invariance\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:02:37.311994+00:00\n\n## Record provenance\n\nExact record hash: `bbe773e0c0e26b1aac28252a5c8a04b235f602ccf6a82a9ed75e2bc002bbdc4c`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-8ec539b81d93e426", "title": "model/variant_residual_vectors.json"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}