A multi-agent AI framework formalizing the Yang-Mills Mass Gap finite-lattice theory in Lean 4 without axioms or sorry.
The mass gap over the simply connected compact simple groups
Lean 4 scaffold for formalizing the Yang–Mills existence and mass gap problem, with checked finite-dimensional certificates and a staged continuum-lift program.
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
A rigorous Lean 4 formalization aiming to computationally verify the unconditional proof of the Yang-Mills mass gap (a Clay Millennium Prize Problem).
Unconditional proof of SU(3) lattice YM mass gap at β₀=ln 8 — Bessel N=5 w1<1/7 + Gross-Witten identity closed → ρ<1/7 → Δ>0. Lean 4.12 664 lemmas 0 sorry trio only 0 OPEN 0 gaps.
Interactive research and scientific-audit console for a hypothetical gauge-reduced spectral-coercivity program for the Yang-Mills mass gap.
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。
Six independent formal proofs for the Yang-Mills Existence and Mass Gap problem, covering RG Flow, Analytic Continuation, and Heat Kernel methods.
Reproduction package: a curvature tower caps density and yields horizonless ultracompact objects in the lower black-hole mass gap — constrained by O3 echo limits, discriminated by mass range and tidal deformability.
A minimal reductio argument identifying a logical tension in the standard formulation of the Yang–Mills mass gap problem.
Python toolkit for finite SU(2) quantum gauge calculations on joined cubes, with reproducible spectra, research benchmarks, and fixed-case certificate verification.
Classical action bounds and quantum reconstruction: research notes, toy gap models, and exploratory links to Yang-Mills and Navier-Stokes.
🔍 Verify and certify analytic bounds related to the Yang–Mills mass gap problem using reproducible computer-assisted scripts.
To associate your repository with the mass-gap topic, visit your repo's landing page and select "manage topics."