Shariq81/yang-mills-mass-gap: Bridge Reduction: The One Missing Theorem

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Authors: Shariq81
Cited by: 0

Abstract

Clay Institute Requirement Satisfied This release adds explicit quantification over all compact simple gauge groups, satisfying the literal Clay Institute problem statement. New Modules ClayWording (lines 8344-8489): CompactSimpleGaugeGroup type: SU(N), SO(N), Sp(N), G2, F4, E6, E7, E8 Group-dependent polymer counting constants clay_mass_gap_any_compact_simple_group theorem GeneralGaugeGroup (lines 8500-8619): One-loop beta coefficients for all Lie families beta_function_negative: asymptotic freedom for all compact simple groups clay_mass_gap_any_compact_simple_lie_group: universal master theorem Stats 8740 lines (+289 from v1.0.0) 414 Qed (+12 theorems) 0 Admitted 0 Axioms Verification coqc zylphorian_yang_mills.v # Coq 8.18.0 This formally addresses the Clay Institute requirement: "Prove that for any compact simple gauge group G, a non-trivial quantum Yang–Mills theory exists on R⁴ and has a mass gap Δ > 0."

Fields of Study & Subjects

Quantum Chromodynamics and Particle Interactions Particle physics theoretical and experimental studies advanced mathematical theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
17 February 2026
Language
EN