A Formal Verification Framework for the Yang–Mills Mass Gap: Consensus Framework, Lean 4 and Lattice QCD

This work presents a formal verification framework for the Yang-Mills Mass Gap problem, integrating the Consensus Framework, Lean 4 formalization, and lattice QCD numerical validation. The methodology was recognized as a Global Finalist in the UN Tourism AI Challenge (2025). In this updated version (v11), we include validated results for Lemmata L1–L3, combining formal proofs, numerical simulations, and consensus-assisted validation, strengthening the interdisciplinary approach to mathematical physics.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-20
DOI
https://doi.org/10.5281/zenodo.17410249
Primary Topic
Scientific Computing and Data Management
Type
article
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article

A Formal Verification Framework for the Yang–Mills Mass Gap: Consensus Framework, Lean 4 and Lattice QCD

Zenodo (CERN European Organization for Nuclear Research)
Scientific Computing and Data Management
article

A Formal Verification Framework for the Yang–Mills Mass Gap: Consensus Framework, Lean 4 and Lattice QCD

article en

Abstract

This work presents a formal verification framework for the Yang-Mills Mass Gap problem, integrating the Consensus Framework, Lean 4 formalization, and lattice QCD numerical validation. The methodology was recognized as a Global Finalist in the UN Tourism AI Challenge (2025). In this updated version (v11), we include validated results for Lemmata L1–L3, combining formal proofs, numerical simulations, and consensus-assisted validation, strengthening the interdisciplinary approach to mathematical physics.

Zenodo (CERN European Organization for Nuclear Research)
Smart Material (Germany) (DE)
Decent work and economic growth
Openalex Percentile: Top 28%
Scientific Computing and Data Management
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A Formal Verification Framework for the Yang–Mills Mass Gap: Consensus Framework, Lean 4 and Lattice QCD · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS