{"id": "c149", "title": "C149 — The exact rows pair Noah with the next Flood Gear", "filename": "490d_C149_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 149, "sha256": "4f633b8134b8b1d12cdad7f97728f1bfc2c944c9b9af1f2664dc1e1d4e6d1c45", "bytes": 2428, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C136_C155_529_Square_Batch_20260923/C149/490d_C149_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/4f633b8134b8b1d12cdad7f97728f1bfc2c944c9b9af1f2664dc1e1d4e6d1c45.md", "format": "md", "derived": false, "tags": ["Regular", "Calendar Keys", "Mirror / 529"], "excerpt": "C149 — The exact rows pair Noah with the next Flood Gear\n\n23 September 2026 · Bounded step 14 of 20 (C136–C155).\n\nThe four exact rows have a specific selector structure: the MT Flood Gear is one above the SP Noah Gear, and the companion/close bits numerically match. This is stronger than a bare equality of interval len", "content": "# C149 — The exact rows pair Noah with the next Flood Gear\n\n23 September 2026 · Bounded step 14 of 20 (C136–C155).\n\n**The four exact rows have a specific selector structure: the MT Flood Gear is one above the SP Noah Gear, and the companion/close bits numerically match.** This is stronger than a bare equality of interval lengths, while preserving the distinction between those two kinds of event state.\n\nLet gN be the SP Noah Gear, cN its companion bit; let gF be the MT Flood Gear, cF its close bit. Source tables give\n\n\\[\nX=3704+2g_N-c_N,\\qquad M=2644+2g_F-c_F,\n\\]\n\\[\n\\delta=2(g_N-g_F+1)+c_F-c_N.\n\\]\n\nBecause cN and cF are 0 or 1, δ=0 requires **gF=gN+1 and cF=cN**.\n\n| Exact row | SP Noah | Alternate MT Flood |\n|---|---|---|\n| N01 | G1 companion | G2 close |\n| N02 | G1 primary | G2 start |\n| N03 | G2 companion | G3 close |\n| N04 | G2 primary | G3 start |\n\nAt P6, Noah is already G3 companion. An exact selector continuation would exceed the allowed three-Gear Flood domain; it is not licensed. The nearest admitted Flood is G3 start, giving δ=1. No fourth Gear is introduced.\n\nEqual bits are a correspondence between two distinct source selectors. Flood closes remain event-year boundaries; they are not Noah/Shem companions. Creation and Conquest receive no Gear. This typed result explains the finite upper-boundary failure without recasting it as a calendar error.\n\n## Source and scope control\n\nAll numerical bases in this packet stand for paired coordinates: BC base B is (B+1)t/Bn BC; reflected AD base A is AD At/(A+1)n. Thus a cross-Mirror same-season span is B+A, after the civil no-year-zero subtraction. AD stations are reflected source events, not historical AD occurrences. K=529 throughout.\n\nRegular Gears remain restricted to Noah/Shem/Flood. Creation and Conquest are fixed source-field selections. C133–C135 corrections remain controlling. The C127 graph and canonical controls are frozen; source-field admission is distinguished from an existing graph node and from a generated comparison coordinate. No wider N01/N03 expansion or missing N03 Shem join is repaired. Original Reports 01–10 remain previously verified references; interrupted original Reports 11–25 remain unestablished. Check counts are computational assertions, not independent historical witnesses.\n\nEvidence: `CERTIFICATE.json`; **78 passing assertions** in `RESULTS.json`. The assertion list identifies the actual tests.\n"}