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