Proposal of Unified Resolution of the Yang-Mills Mass Gap via 5D Higgs-Torsion Geometry and Fractal Control
Proposal of Unified Resolution of the Yang-Mills Mass Gap via 5D Higgs-Torsion Geometry and Fractal Control
In this paper, we propose to resolve the Yang-Mills mass gap problem (Clay Millennium Prize) by unifying 5D→4D dimensional projection, negative mass density, and fractal control. The mechanism leverages: - 5D Higgs-torsion geometry generating mass via dimensional reduction. - Torsion-gauge coupling as a confinement operator. - Negative inducing spontaneous symmetry breaking. Lattice simulations (SU(3), ) confirm a mass gap with relative error , potentially solving Yang-Mills existence.
- University of Lille France
5D Higgs-torsion geometry, Negative mass density, Torsion-driven confinement, Spectral gap generation, Geometric mass generation, Spontaneous symmetry breaking, Non-perturbative QFT stability, Fractal entropy control, Souriau entropy stabilization, Infrared divergence suppression, QCD confinement scale, Torsion tensor coupling, Dark energy cosmology, Yang-Mills mass gap, Navier-Stokes global regularity, Dimensional reduction
5D Higgs-torsion geometry, Negative mass density, Torsion-driven confinement, Spectral gap generation, Geometric mass generation, Spontaneous symmetry breaking, Non-perturbative QFT stability, Fractal entropy control, Souriau entropy stabilization, Infrared divergence suppression, QCD confinement scale, Torsion tensor coupling, Dark energy cosmology, Yang-Mills mass gap, Navier-Stokes global regularity, Dimensional reduction
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