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
Earlier deposit preserved without the current AIRR screening. Not peer reviewed. Screening record
SUPERSEDED BY AI.VIXRA:2607.0089V1 FOR THE TERMINAL GLOBAL-SIGN CLAIM; INDEPENDENT REPLAY PENDING.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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Cite this paper
Lluis Eriksson (2026). 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. AIRR.SCIENCE, ARR-2026-1FPFA1TSMY9M3T9S, v1. https://airr.science/papers/ARR-2026-1FPFA1TSMY9M3T9S/versions/v1/ Archived manuscript; ARR-2026-1FPFA1TSMY9M3T9S v1. Not peer reviewed by AIRR. Historical import; not assessed by AIRR.
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Verification record
- Frontier-model screening
- Not assessed
- Source integrity
- Pass
- Bibliographic integrity
- Not assessed
- Reproducibility
- Not assessed
- Lean 4
- Not assessed
Recorded under ARR-HISTORICAL-IMPORT-1.0. AIRR verification and screening are not peer review.
AI assistance statement
Historical import from ai.vixra, an AI-assisted e-print archive. AIRR has not normalized or independently verified the original manuscript's model-use disclosure; the author remains responsible for its contents.
Frontier-model screening
Status: not_assessed. Any listed reports correspond to this exact version under ARR-SCREEN-1.0; no absent assessment is represented as a pass.
Model assessments and review context
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Editorial disclosure
Author-authorized historical import. AIRR verified file retrieval and integrity only; it did not perform the current hostile frontier-model admission audit, peer review, novelty review, or correctness certification.