Research paperHistorical importARR-2026-1FPFA1TSMY9M3T9S · v1 · 2026-07-09

Ratio Monotonicity for a Killed von Mises Bridge: Exact Bridge Structure, Certified Negative Results, a Single-Bessel Reduction, and a Two-Scale Closure Map for a Surface Expansion in Two-Dimensional Lattice Gauge Theory

Lluis Eriksson

Abstract

SUPERSEDED BY AI.VIXRA:2607.0089V1 FOR THE TERMINAL GLOBAL-SIGN CLAIM; INDEPENDENT REPLAY PENDING. This replacement preserves public version 1 and records the later terminal-claim paper without overstating its audit status. Version 1 proves positivity of F_B, the ratio sign for 0 < beta <= 3, exact bridge and single-Bessel reductions, certified negative results, asymptotic structure and a two-scale closure map; pages 11-13 leave the global sign as a quantified conjecture. ai.viXra:2607.0089v1 claims the global ratio-monotonicity theorem through exact identities and outward-rounded interval certificates. It supersedes this record for that terminal claim, but independent replay of every exact-to-Arb handoff and interval regime remains pending in this audit. No PASS is inferred from a printed or green transcript alone. The preserved version 1 follows the two-page notice unchanged.

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