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C80 — The 11-fold and 13-fold routes close at the same lower Flood

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Study sequence: Named 11/12/13 carrier grid: Conquest, Joseph, Flood and Noah (C73–C112) · Mirror & 529

C80 — The 11-fold and 13-fold routes close at the same lower Flood

22 September 2026 · Step 8 of the authorized ten-step Mirror continuation (C73–C82).

Two different source-qualified routes reach the lower Flood pair from the retained comparison:

  1. Expand the Creation→Conquest 11-fold width twice by 25/23.
  2. Take the old upper Flood of the 13-fold chain and apply the held-Noah 300/299 map.
BranchConquest start of route1Upper Flood start of route2Shared lower FloodHeld MT Noah
N021400245824563056
N041402246024583058

Measure from the held Creation centre, let r be the expansion factor, and e=300/299. The two relative target coordinates are

11Kr2and13Kr+13Ke(1−r). 11Kr^2\quad\text{and}\quad13Kr+13Ke(1-r).

Their equality reduces to

253r2+r−300=0=(23r−25)(11r+12). 253r^2+r-300=0 =(23r-25)(11r+12).

The positive root is r=25/23; the other root −12/11 reverses order and is outside the declared positive expansion. This is a compact conditional closure equation for the retained 11/13-family placements and the 300/299 source map. It re-expresses their dependencies, rather than providing independent evidence for the chosen ratios.

The equality is at the specified sourced points. The two maps have different slopes, r² and e. Moving their corresponding inputs by one gives a residual 1225/6877, so they must not be presented as the same global affine operator or an unrestricted commuting transformation. Both seasonal components agree at the qualified meeting point under the existing phase lift.

Validation. 10 exact arithmetic/structural checks passed. The 15 frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.

Scope and provenance. Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.

Source locators. File_09 §3 and Appendix A (paired Mirror and exact phase); File_18 §§2.1.3, 2.4, 3.1 and 6/6A (regular fields and cumulative collateral source); File_61 §11 and File_62 collateral-scope guards (original Joseph portion only); frozen C15/C16/C22/C43/C65/C72 certificates and C01/C05/C09 reports (retained source, phase and family dependencies). The declared phase model does not infer an unstated birthday or event month from an annual source row.

Best next bounded step — High sufficient. Separate this ratio closure from source calibration of the 529 scale and the two-year Gear interval.

Linked sources and evidence

Edition and provenance

490d_C80_Mirror_Report_20260922.md

SHA-256 116b899579488a30b45067da720d82a301c74751488ff774d866b58108611c82

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_conquest_flood_20260922/C80/490d_C80_Mirror_Report_20260922.md