{"id": "c510", "title": "C510 — Mirror requires a declared coordinate chart", "filename": "C510.md", "role": "Research action", "step": 510, "sha256": "7289810a7d6663f86f3c783f9c2e9ce64ca516df587a6ff9ab18f719d446967f", "bytes": 1422, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C510"], "download": "/sources/7289810a7d6663f86f3c783f9c2e9ce64ca516df587a6ff9ab18f719d446967f.md", "format": "md", "derived": true, "tags": ["Rounded", "Inverse", "Mirror / 529"], "excerpt": "How can Mirror join the affine grammar without confusing civil and rounded crossings?", "content": "# C510 — Mirror requires a declared coordinate chart\n\n## Question\n\nHow can Mirror join the affine grammar without confusing civil and rounded crossings?\n\n## Inputs\n\n```json\n{\n  \"civil\": \"q(BC B)=1−B; q(AD Y)=Y\",\n  \"rounded\": \"q(BC B)=1−B; q(AD Y)=Y−1\",\n  \"sample_pair\": [\n    601,\n    1351\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File51a coordinate clarification\",\n  \"File52c §§1,3.12,6\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:46:59.304698+00:00\n\n## Results\n\n```json\n{\n  \"civil_crossing\": 1951,\n  \"rounded_crossing\": 1950,\n  \"rounded_reflection\": \"q -> −q carries BC B to AD B in this display\",\n  \"affine_compatibility\": \"M D_k,a = D_k,M(a) M for M(q)=−q\",\n  \"source_roles\": \"ordinary same-side reflection, cross-polarity Mirror, and decimal reversal remain distinct operators\"\n}\n```\n\n## Finding\n\nReflection is affine once its coordinate chart is declared. Civil and rounded opposite-side spans differ by one; they cannot be pooled as one metric. The rounded origin is a comparison convention, not a historical year zero.\n\n## Reassessment\n\nReconstruct the rounded macro529 endpoint ladder in that declared chart.\n\n## Checks\n\n```json\n{\n  \"civil\": true,\n  \"rounded\": true,\n  \"difference\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:46:59.305012+00:00\n\n## Record provenance\n\nExact record hash: `16f8158e97927dc5e61fb5fbb7c7421013a0a36a07eee44dee6714b0280ceec0`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}