{"id": "c948", "title": "C948 — Weight as a consequence of gains", "filename": "C948.md", "role": "Research action", "step": 948, "sha256": "e816bc605109db1c351bb41d32dcc2c5ac5e6cd3c9b19d00b8e58a7d72537517", "bytes": 1223, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C948"], "download": "/sources/e816bc605109db1c351bb41d32dcc2c5ac5e6cd3c9b19d00b8e58a7d72537517.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded", "Inverse"], "excerpt": "How does the 4:1 coefficient relate to the two aggregate reversal gains?", "content": "# C948 — Weight as a consequence of gains\n\n## Question\n\nHow does the 4:1 coefficient relate to the two aggregate reversal gains?\n\n## Inputs\n\n```json\n{\n  \"regular_total\": 2700,\n  \"cumulative_total\": 12600,\n  \"common_reverse\": 10620,\n  \"state_shifts\": [\n    -2,\n    8\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"C935\",\n  \"C936\",\n  \"C937\",\n  \"C947\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:43:37.221584+00:00\n\n## Results\n\n```json\n{\n  \"regular_gain\": 7920,\n  \"cumulative_loss\": 1980,\n  \"gain_to_loss\": 4,\n  \"cumulative_weight_from_gains\": \"4/5\",\n  \"from_state_shifts\": \"4/5\"\n}\n```\n\n## Finding\n\nThe convergent inverse radius implies the same 4:1 weight that preserves the selected Actual–Rounded shifts. Their equality is a compatibility statement; neither derivation licenses counting the weight again as a fresh independent observation.\n\n## Reassessment\n\nWrite a reduced premise ledger before moving into the new whole-family test.\n\n## Checks\n\n```json\n{\n  \"gains\": true,\n  \"ratio\": true,\n  \"weights_agree\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:43:37.221777+00:00\n\n## Record provenance\n\nExact record hash: `e4cb3315460d885d67899fc006da2056cfbf47fac866a71a1bebf2ea12fd9ab0`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}