Research action

C202 — Concentric 2K padding requires a generated Creation endpoint

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

C202 — Concentric 2K padding requires a generated Creation endpoint

23 September 2026 · Step 47 of 50, continuing C155.

Translating an exact13K source interval forward by190 centers it inside the SP17K interval and gives2K padding on each side. Its Flood endpoint becomes the admitted alternate MT Flood M; its Creation endpoint becomes the generated BC base b−190, outside the held native Creation field.

Thus17K=2K+13K+2K has an exact concentric geometric realization, but the inner translated left endpoint is not another sourced Creation member. The original source13K interval had unequal868/1248 flanks.

At P6, a190 translation preserves the actual alternate Flood endpoint but gives paddings1058 and1059. Exact centering instead requires190.5 and produces generated endpoints−4225.5 and2650.5 with equal1058.5 padding. Those are not the missing annual source Flood2651 or an admitted Creation member.

This distinguishes a formal centering operation from a sourced chronology transformation. It explains why symmetry of interval widths cannot by itself repair the boundary exclusions.

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. 80 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_C202_529_Mirror_Bounded_Step_20260923.md

SHA-256 0e21dad5202bf371891b16e3e65bc2a8200097d4153265660aa8a54610ba0773

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C202/490d_C202_529_Mirror_Bounded_Step_20260923.md