Research action

C161 — The retained 190 profile is selected within the four switch combinations

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Study sequence: Source alignment, residual grammar and interval-center geometry (C156–C205) · Mirror & 529

C161 — The retained 190 profile is selected within the four switch combinations

23 September 2026 · Step 6 of 50, continuing C155.

Among the four declared MT switch combinations 0, 60, 130 and 190, only 190 can produce a 2K SP-Noah→MT-Flood span within the permitted three Gears. This is a bounded profile diagnostic, not an unrestricted chronology search.

Source arithmetic gives SP primary Noah−ordinary MT primary Noah=3493−2843=650. For MT offset λ,

X−M=1250−λ−2(gF−gN)−cN+cF. X-M=1250-\lambda-2(g_F-g_N)-c_N+c_F.

Exact 1058 requires 192−λ=2(gF−gN)+cN−cF. The right side lies between −5 and +5. Of λ=0,60,130,190, only λ190 leaves a reachable value, namely 2; it gives the four inherited next-Gear matches.

This identifies how restrictive the retained profile is within these explicit switches. It does not claim those four settings exhaust every repository chronology, and it does not make the selected matches statistically independent.

Evidence and scope

K=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.

Regular 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.

Sources: 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. 21 assertions passed; see RESULTS.json and CERTIFICATE.json. Assertions, selected field combinations and inherited identities are not independent historical witness counts.

Linked sources and evidence

Edition and provenance

490d_C161_529_Mirror_Bounded_Step_20260923.md

SHA-256 28741e03c94f9e6f7ab5366c7db569173a63f43d9c529e90abef0cdf697728b9

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C161/490d_C161_529_Mirror_Bounded_Step_20260923.md