{"id": "c1542", "title": "C1542 — Explain thelower merge mechanism", "filename": "C1542.md", "role": "Research action", "step": 1542, "sha256": "ae4061a9a09f2d1a974b07eba4c41455008b66232a759d4d8f34e208cc8587bf", "bytes": 985, "origins": ["C480–C1634/Research_Cycles/C1483_C1582/c1483_c1582/journal.json#C1542"], "download": "/sources/ae4061a9a09f2d1a974b07eba4c41455008b66232a759d4d8f34e208cc8587bf.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Why does the1550 merge preserve these three reversed totals?", "content": "# C1542 — Explain thelower merge mechanism\n\n## Question\n\nWhy does the1550 merge preserve these three reversed totals?\n\n## Sources\n\n```json\n[]\n```\n\n## Opened utc\n\n2026-09-29T02:36:15.973477+00:00\n\n## Results\n\n```json\n{\n  \"significant_core_additions\": [\n    [\n      343,\n      155,\n      498\n    ],\n    [\n      434,\n      155,\n      589\n    ],\n    [\n      331,\n      155,\n      486\n    ]\n  ],\n  \"each_place_adds_without_carry\": true,\n  \"register\": \"three-digitcore,onetrailingzero throughout\"\n}\n```\n\n## Finding\n\nEveryplace adds withoutcarry andthethree-digit/one-zero register stays fixed. Reversal distributes over these particular sums.\n\n## Reassessment\n\nNow split the shared1550 block itself into theoriginal600 and950 lives.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T02:36:15.974103+00:00\n\n## Record provenance\n\nExact record hash: `9b6286fdba745398afab41d2a6ecc0c8ec3b0cfe5b3ea0dd771626cb5a55b77e`\n\nSource journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`", "journalDownload": "/sources/7241bc8dee3ba293341214bcb88dc4f80832f7d0207eb9e07f9364c06d3847c8.json"}