← Radical-FDRS: One-Dimensional Flattening and Elliptic–Chabauty Machinery on the Fixed Slice / R2 · Twin-Psi and genus 5

Radical-FDRS: One-Dimensional Flattening and Elliptic–Chabauty Machinery on the Fixed Slice R2 · Twin-Psi and genus 5 unsigned in the source

R2: The Twin-Psi Square System, the Fixed-Fiber Genus-5 Reconstruction and the Unification of the 7/32 and 11/45 Slices

A perfect cuboid exists iff there are rationals m, n with Ψ(m, n) and Ψ(μ(m), n) both rational squares (the Twin-Psi system); fixed-n fibres are generically genus-5 curves, and the historical slices n = 7/32 and n = 11/45 are the seed's two charts.

An equivalence plus a structural genus count (generic, under the stated separability assumptions). In R2, n is a fixed parameter: all later computations sit on a single n (mainly 7/32) while the global problem lets n vary. The formulas were re-verified symbolically in the pre-publication read-through.

Connections · Connections

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