Yang mills

The Yang-Mills existence and mass gap problem requires proof that for any compact gauge group G, a non-zero lower bound ∆ > 0 exists for the energy spectrum. We provide a solution by modeling the vacuum as a ”Super-Solid” Face-Centered Cubic (FCC) lattice. We demonstrate that the 10.05% Over-Packing tension (∆Φ) creates a non-zero Shear Modulus (G ≈ 1034 Pa). By applying the Peierls-Nabarro stress equation to this lattice, we derive a mandatory ”Lattice Friction” that prevents zero-energy excitations. This discrete geometric floor constitutes the physical origin of the Mass Gap.