Yang-Mills Mass Gap from L-Tensor Confinement: Δ ≈ 200 MeV from 5+5+1 Geometry
Abstract
We derive the Yang-Mills mass gap Δ ≈ 200 MeV from first principles in the 5+5+1 dimensional framework. The mass gap arises from L-tensor confinement: color charge is position in logochrono (L₁, L₂, L₃ → RGB), gluons are L-field fluctuations, and confinement is topological closure of the compact 5D logochrono manifold. The gap formula Δ = mp · αs² · |L|² ≈ 223 MeV matches ΛQCD (200-300 MeV). Predicts glueball mass ~1.3 GeV, deconfinement temperature ~155 MeV, and exact confinement at T=0. Addresses the Millennium Prize problem from a geometric perspective. Spinoff from: "Unified Theory: Complete Derivation of Physics from 5+5+1 Dimensional Geometry" (DOI: 10.5281/zenodo.18133453)
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 January 2026
- Document type
- Preprint