{"id": "c1020", "title": "C1020 — NT free metric family", "filename": "C1020.md", "role": "Research action", "step": 1020, "sha256": "5bd185be120d1274499764810f867f71883aaddb450b8cccf816bc8c4333bb71", "bytes": 865, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1020"], "download": "/sources/5bd185be120d1274499764810f867f71883aaddb450b8cccf816bc8c4333bb71.md", "format": "md", "derived": true, "tags": ["Mirror / 529"], "excerpt": "What remains undetermined by the paired Key knot?", "content": "# C1020 — NT free metric family\n\n## Question\n\nWhat remains undetermined by the paired Key knot?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1019\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:59:41.952924+00:00\n\n## Results\n\n```json\n{\n  \"kernel\": [\n    [\n      69,\n      1\n    ]\n  ],\n  \"metric_family\": \"w=69u\",\n  \"free_metric_dimensions\": 1,\n  \"scale_selected_by_knot_alone\": false\n}\n```\n\n## Finding\n\nThe knot fixes a ratio w:u=69:1 while leaving one metric scale free. Two arrows illustrate one constraint.\n\n## Reassessment\n\nAdd the supplied BJ trunk length and slot count.\n\n## Checks\n\n```json\n{\n  \"kernel\": true,\n  \"one_free_scale\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:59:41.953569+00:00\n\n## Record provenance\n\nExact record hash: `eeb41520f8987d40809517a458ab46027973a4c46cb2c4bb0262101d4677f5c4`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}