{"id": "c674", "title": "C674 — Unify the micro Key outputs", "filename": "C674.md", "role": "Research action", "step": 674, "sha256": "3f9ebeb5ba36e5ab4c4bdc2f2a7d55d74d0fc2b0c3cb933dbf4ec6e2a6739afd", "bytes": 1064, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C674"], "download": "/sources/3f9ebeb5ba36e5ab4c4bdc2f2a7d55d74d0fc2b0c3cb933dbf4ec6e2a6739afd.md", "format": "md", "derived": true, "tags": [], "excerpt": "How do35,37.5 and40 relate to the source’s34.5 input?", "content": "# C674 — Unify the micro Key outputs\n\n## Question\n\nHow do35,37.5 and40 relate to the source’s34.5 input?\n\n## Inputs\n\n```json\n{\n  \"source_scalar\": \"69/2\",\n  \"normalization_residual\": \"5/2\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §§4.1,4.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:10:47.985243+00:00\n\n## Results\n\n```json\n{\n  \"P_output\": 35,\n  \"E_output\": \"75/2\",\n  \"output_gap\": \"5/2\",\n  \"normalized\": 40,\n  \"affine_continuation\": 40\n}\n```\n\n## Finding\n\nThe normalization residual2.5 equals the gap between E and P outputs. The source-defined40 therefore equals2E(34.5)−P(34.5). This compresses the two-stage calculation without promoting it to a new universal Key.\n\n## Reassessment\n\nRelate the scalar completion to the whole before/after phase envelopes.\n\n## Checks\n\n```json\n{\n  \"keys\": true,\n  \"residual\": true,\n  \"completion\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:10:47.985485+00:00\n\n## Record provenance\n\nExact record hash: `2441183bdc17f95c6de29513d0ee9f899375f5fc6731f27a16d936adc0c4e126`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}