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.