{"id": "c529", "title": "C529 — Assess explanatory compression", "filename": "C529.md", "role": "Research action", "step": 529, "sha256": "ab714db25f404e1f8857a371f5f62989b1bc409f3748ff232517d09d4f6ff93e", "bytes": 2748, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C529"], "download": "/sources/ab714db25f404e1f8857a371f5f62989b1bc409f3748ff232517d09d4f6ff93e.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded", "Calendar Keys", "Mirror / 529"], "excerpt": "Which model best explains the completed set without hiding extra choices?", "content": "# C529 — Assess explanatory compression\n\n## Question\n\nWhich model best explains the completed set without hiding extra choices?\n\n## Inputs\n\n```json\n{\n  \"models\": [\n    \"one scalar affine conversion\",\n    \"independent lookup of every displayed result\",\n    \"typed modular grammar\"\n  ],\n  \"scoring\": \"qualitative; no predeclared numeric description-length weights\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§1,6\",\n  \"C524–C528\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:55:20.470064+00:00\n\n## Results\n\n```json\n{\n  \"models\": [\n    {\n      \"model\": \"one scalar affine conversion\",\n      \"status\": \"rejected by current MT/LXX/SP slopes\",\n      \"source_cost\": \"cannot represent the observed direction changes\"\n    },\n    {\n      \"model\": \"independent lookup\",\n      \"status\": \"can restate every datum\",\n      \"source_cost\": \"stores each result and loses shared mechanisms\"\n    },\n    {\n      \"model\": \"typed modular grammar\",\n      \"status\": \"reconstructs source projections,rounded paths,Key fields,529 ladders and specified junctions\",\n      \"source_cost\": \"retains source rows,phase/frame choices,partitions,anchors and exceptional inclusive conventions\"\n    }\n  ],\n  \"reconstruction_reach\": {\n    \"transfers_unchanged\": [\n      \"row projections\",\n      \"anchored affine laws\",\n      \"calendar calibration\",\n      \"529 width rule\",\n      \"rounded path evaluator\"\n    ],\n    \"transfers_conditionally\": [\n      \"integral endpoints require pivot residues\",\n      \"Mirror requires a chart\",\n      \"state changes retain source scope\"\n    ],\n    \"does_not_transfer\": [\n      \"universal12026 across traditions\",\n      \"MT14/15/16 field at unchanged anchor\",\n      \"MT Noah-refinement equality in LXX\"\n    ],\n    \"not_instantiated\": [\n      \"full LXX/SP rounded cumulative paired-path test from current source tables\"\n    ]\n  },\n  \"next_family_candidate\": \"source-defined161/299/460 construction, with this grammar frozen before reading its test inputs\"\n}\n```\n\n## Finding\n\nThe modular model explains more than an endpoint lookup and survives recorded failures without repairs. Its practical compression is demonstrated on whole families; global minimality, historical sequence and statistical rarity remain unproved. The next research should test a further named source family, not enlarge a target search.\n\n## Reassessment\n\nReconcile independent reviews and freeze the report’s exact scope before the final synthesis.\n\n## Checks\n\n```json\n{\n  \"alternatives_compared\": true,\n  \"failures_retained\": true,\n  \"source_gaps_retained\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:55:20.470440+00:00\n\n## Record provenance\n\nExact record hash: `03b366a52caf3a393de1f45d2efce8549fed2715ddd4ef51615b3fe1f9f5ea23`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json"}