{"id": "c151", "title": "C151 — The one-year source residual is not a phase-counting artifact", "filename": "490d_C151_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 151, "sha256": "13b15dfadc7d793aa14c25ab93c14478ba3c8468cfe50392cc5a299ca0db40a0", "bytes": 2479, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C136_C155_529_Square_Batch_20260923/C151/490d_C151_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/13b15dfadc7d793aa14c25ab93c14478ba3c8468cfe50392cc5a299ca0db40a0.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C151 — The one-year source residual is not a phase-counting artifact\n\n23 September 2026 · Bounded step 16 of 20 (C136–C155).\n\nP6's δ=1 survives both same-season counts. It comes from the chosen source endpoints, not from forgetting the no-year-zero adjustment.\n\n| BC pair | Reflected AD pair | t→t span | n→n span |\n|---", "content": "# C151 — The one-year source residual is not a phase-counting artifact\n\n23 September 2026 · Bounded step 16 of 20 (C136–C155).\n\n**P6's δ=1 survives both same-season counts.** It comes from the chosen source endpoints, not from forgetting the no-year-zero adjustment.\n\n| BC pair | Reflected AD pair | t→t span | n→n span |\n|---|---|---|---|\n| 6344t/6343n BC | AD 2650t/2651n | 8993 | 8993 |\n| 6344t/6343n BC | AD 3709t/3710n | 10052 | 10052 |\n| 5285t/5284n BC | AD 2650t/2651n | 7934 | 7934 |\n| 5285t/5284n BC | AD 3709t/3710n | 8993 | 8993 |\n\nThe correct civil formulas are (b+1)+a−1 and b+(a+1)−1, both b+a. Subtracting one again from the paired-base sum would lower every square entry by one, including both diagonals. That wrong matrix would have 17K−1 diagonals; it cannot explain the actual opposite residuals with exact 17K diagonals.\n\nUnder the retained quarter-offset coordinate model, cross-season comparisons instead give b+a±½. They compare different seasonal components and cannot silently replace the same-season spans. The evidence lists these diagnostics separately.\n\nThis check addresses a specific ambiguity: an admitted pair AD 2650t/2651n does not admit the different pair AD 2651t/2652n needed for P6's exact square. The numeral 2651 appearing as a lower seasonal component is not permission to use it as a new paired base. The source residual and the phase convention therefore remain separate.\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`; **28 passing assertions** in `RESULTS.json`. The assertion list identifies the actual tests.\n"}