{"id": "c169", "title": "C169 — Changing the MT profile requires its own residual", "filename": "490d_C169_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 169, "sha256": "1aa325d648ec30f1bae2704c4a2f0785f20b93da4cd74c23b76194b92f51ef92", "bytes": 2326, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C169/490d_C169_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/1aa325d648ec30f1bae2704c4a2f0785f20b93da4cd74c23b76194b92f51ef92.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C169 — Changing the MT profile requires its own residual\n\n23 September 2026 · Step 14 of 50, continuing C155.\n\nChanging the selected MT profile changes the square-side residual without changing a held Creation→ordinary-Flood interval. The additional quantity ρ=M−f−190 makes that distinction explicit.\n\nHold P6's b4416, ", "content": "# C169 — Changing the MT profile requires its own residual\n\n23 September 2026 · Step 14 of 50, continuing C155.\n\n**Changing the selected MT profile changes the square-side residual without changing a held Creation→ordinary-Flood interval.** The additional quantity ρ=M−f−190 makes that distinction explicit.\n\nHold P6's b4416, ordinary f2460 and Noah X3709; compare the four declared MT offsets:\n\n| MT offset | M | δ | ρ | b+f−13K |\n|---|---|---|---|---|\n| 0 | 2460 | 191 | -190 | -1 |\n| 60 | 2520 | 131 | -130 | -1 |\n| 130 | 2590 | 61 | -60 | -1 |\n| 190 | 2650 | 1 | 0 | -1 |\n\nThe first three M values belong to different profile selections; they are not relabeled as members of the retained +190 field. In each case δ+ρ stays equal to one, preserving the actual Creation residual −1.\n\nThis is a bounded profile comparison using the existing regular Cainan/Terah switches. It demonstrates why the single-δ formula cannot be carried unchanged between profiles. No switch is applied to Creation or to the cumulative chain in this test.\n\n## Evidence and scope\n\nK=529. Positive BC base B denotes (B+1)t/Bn BC; reflected AD base A denotes AD At/(A+1)n. Their same-season civil span is B+A, after the no-year-zero correction. AD source projections are not historical AD occurrences. Generated coordinates and interval midpoints do not acquire event identity from numerical coincidence.\n\nRegular Gears remain confined to Noah/Shem/Flood. Creation and Conquest use fixed source-field members; no fourth Gear is admitted. File_18/File_09 and the C127 graph are unchanged. C133–C155 source corrections remain controlling, with the C10 ancestry of the next-Flood-Gear rule now explicit. No historical campaign is rerun, no quarantined primer is reopened, and no N01/N03 expansion or missing Shem join is repaired. Original Reports 01–10 remain previously verified; interrupted original Reports 11–25 remain unestablished.\n\nSources: controlling File_18 §§2–3, 6A–6D; File_09 paired Mirror rules; selectively retained C05, C08, C10, C123, C128 and C133–C155 evidence. Specific dependencies are named in the body/certificate. **23 assertions passed**; see `RESULTS.json` and `CERTIFICATE.json`. Assertions, selected field combinations and inherited identities are not independent historical witness counts.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}