C146 — The equal 3K and 8K relations survive every Flood selector
23 September 2026 · Bounded step 11 of 20 (C136–C155).
The equal 3K comparison and Creation's 3+8 prefix depend on the Noah/native-member alignment d, but not on Flood selector j. They survive at P6 even though its exact 2K Flood continuation fails.
| Row d | A→X (BC bases) | b→z (BC bases) | Reflected q | Equal displacement |
|---|---|---|---|---|
| 1 | 5292→3705 | 4420→2833 (generated) | 1399 | 872 |
| 2 | 5293→3706 | 4419→2832 (generated) | 1400 | 874 |
| 3 | 5294→3707 | 4418→2831 (generated) | 1401 | 876 |
| 4 | 5295→3708 | 4417→2830 (generated) | 1402 | 878 |
| 5 | 5296→3709 | 4416→2829 (generated) | 1403 | 880 |
The displacement is A−b=X−z=870+2d, giving 872, 874, 876, 878, 880 as already established in C134. This recovers the five-row comparison without requiring δ=0.
Crucially, z is an 8K preimage of Conquest, explicitly generated in the retained graph. It is not an independently sourced historical event. The Noah segment has two sourced endpoints; the matching Creation segment ends at this generated coordinate. Translation can match the two numerical intervals, but the endpoint roles do not supply a source-preserving event transport. Thirty square pairings therefore do not turn the five equal-3K rows into thirty separate source-structure witnesses.
Source and scope control
All 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.
Regular 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.
Evidence: CERTIFICATE.json; 39 passing assertions in RESULTS.json. The assertion list identifies the actual tests.