{"id": "c1066", "title": "C1066 — Complete paired-field difference mesh", "filename": "C1066.md", "role": "Research action", "step": 1066, "sha256": "7de706f095dcda04098638f2633ef13a2b0bb04c91d9977ca84d6b93ac2c49c5", "bytes": 1293, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1066"], "download": "/sources/7de706f095dcda04098638f2633ef13a2b0bb04c91d9977ca84d6b93ac2c49c5.md", "format": "md", "derived": true, "tags": [], "excerpt": "How does the full source field compare with the already selected nine-member pillar field?", "content": "# C1066 — Complete paired-field difference mesh\n\n## Question\n\nHow does the full source field compare with the already selected nine-member pillar field?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File52c §§3.7.3,paired endpoint tables\",\n  \"C1065\",\n  \"C513\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:10:52.924745+00:00\n\n## Results\n\n```json\n{\n  \"mesh_field\": {\n    \"path\": \"model/paired_field_difference_mesh.json\",\n    \"sha256\": \"cda0b6e3961f1cb43473dd39dd95c16df2ace3548af9e65d1f0f7a9afe4f7fb4\",\n    \"bytes\": 2947\n  },\n  \"source_meshes\": [\n    5,\n    115\n  ],\n  \"E_meshes\": [\n    \"125/23\",\n    125\n  ]\n}\n```\n\n## Finding\n\nThe full paired field has difference mesh5, while the inherited nine-member field has mesh115. Uniform E gives exact meshes125/23 and125, respectively. This relates the complete rational field to the existing integer subfield without enlarging it.\n\n## Reassessment\n\nAsk whether additional uniform Key measurements can recover lost component information.\n\n## Checks\n\n```json\n{\n  \"meshes\": true,\n  \"existing_reference\": true,\n  \"subset\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:10:52.925625+00:00\n\n## Record provenance\n\nExact record hash: `b0dfceedd703458a22eccd9b58d42e8b9606243dd1869d3578aa657fd4f27410`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-cda0b6e3961f1cb4", "title": "model/paired_field_difference_mesh.json"}, {"id": "file52c", "title": "File 52c"}]}