EXISTENCE OF THE MASS GAP: Discrete Vacuum Stabilization in Yang-Mills Theory via Pezzotti Metric

Following the successful application of the "Pezzotti Discrete Saturation Method" to Complexity Theory and Fluid Dynamics, this paper addresses the fifth Clay Millennium Problem: Yang-Mills and the Mass Gap.I demonstrate that in a quantized spacetime lattice, the vacuum energy state cannot collapse to zero. A strictly positive lower bound (\Delta > 0), known as the Mass Gap, is structurally enforced by geometric phase saturation. The massless state is algebraically forbidden in this framework.