C184 — The 4K center fixes a paired field, not each seasonal component
23 September 2026 · Step 29 of 50, continuing C155.
S fixes the center4K=2116 and exchanges the two components of its paired field. It does not individually fix both seasonal coordinates.
In the retained proof convention, an AD pair centered at x has components x−¼,x+¼. Applying S=4232−x and reversing order gives the pair centered at4232−x. At the center itself,2116−¼ and2116+¼ exchange.
This matters when comparing generated complement points with seasonal historical labels. Whole paired spans remain intact, but an individual suffix cannot be retained silently through the reflection. The BC preimage projection from C176 obeys the same rule after global reflection.
The check preserves the established3.5-year boundary framework without redefining it. No half-year or one-year Gear is introduced, and no generated midpoint is promoted to a source boundary.
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. 34 assertions passed; see RESULTS.json and CERTIFICATE.json. Assertions, selected field combinations and inherited identities are not independent historical witness counts.