From topology to first principles.

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

⚠️ DEPRECATED - This repository has been superseded by v3.7.2. New location: https://github.com/Mass-Gap/UIDT-Framework-v3.7.2-Canonical | DOI: 10.5281/zenodo.17835200

Executable Hilbert–Schmidt certificates establishing a Yang–Mills mass gap via operator coercivity transfer, with CI-enforced monotonicity and frozen artifacts.

A minimal reductio argument identifying a logical tension in the standard formulation of the Yang–Mills mass gap problem.

Six independent formal proofs for the Yang-Mills Existence and Mass Gap problem, covering RG Flow, Analytic Continuation, and Heat Kernel methods.

Spectral Electromagnetic Confinement Theory (SECT). Teoría de campo clásica efectiva para solitones electromagnéticos topológicos autoconfinados, independiente de QCD/Higgs.

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.