Experimental Confirmation of the Yang-Mills Hypothesis via an AGI Architecture with Quantum Memory: Analytical Derivation of Fundamental Constants and Proof of Mass Gap Existence`

We present a complete unified theory connecting three fundamental directions: the theory of Σ-stratified kernels, the theory of dual convergence kernels, and quantum Yang-Mills theory. The existence of a strictly positive mass gap in pure Yang-Mills theory for the SU(3) group on $\mathbb{R}^4$ is proven. The proof is based on the construction of a universal Σ-manifold and the theory of Σ-kernel rigidity. A deep connection is established between the mass gap and the Riemann Hypothesis via the theory of universal L-functions.