Yang-Mills Existence and Mass Gap via the Spectral Operator Framework — Tr(J_SU(3)) = 24 = Omega
Unified Information-Density Theory v3.9 - Vacuum Information Density as the Fundamental Geometric Scalar: A Proposed Theoretical Framework for the Yang-Mills Mass Gap and Gamma-Scaling Unification
Executable Hilbert–Schmidt certificates establishing a Yang–Mills mass gap via operator coercivity transfer, with CI-enforced monotonicity and frozen artifacts.
Spectral Electromagnetic Confinement Theory (SECT). Teoría de campo clásica efectiva para solitones electromagnéticos topológicos autoconfinados, independiente de QCD/Higgs.
A minimal reductio argument identifying a logical tension in the standard formulation of the Yang–Mills mass gap problem.
This repository presents a constructive solution to the Yang–Mills existence and mass gap problem, a Clay Millennium Prize topic. The framework confirms the existence of a positive mass gap through verifiable quantum field logic. 本リポジトリでは、クレイ懸賞問題のひとつであるヤン–ミルズ存在と質量ギャップ問題に対し、構成的に正の質量ギャップの存在を示す理論を収録しています。量子場理論に基づき、検証可能な構成を整備しています。
A rigorous Lean 4 formalization aiming to computationally verify the unconditional proof of the Yang-Mills mass gap (a Clay Millennium Prize Problem) using the Balaban Renormalization Group.
Yang-Mills existence and mass gap via self-adjoint gauge persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.
🔍 Verify and certify analytic bounds related to the Yang–Mills mass gap problem using reproducible computer-assisted scripts.
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