Operator Methods for the Weil Criterion: Q3

We present an operator–analytic framework connecting the Weil criterion for the Riemann Hypothesis with the geometry of a functional manifold associated with the zeta function. 
Through a sequence of analytic modules (T₀–A₃–RKHS–T₅), the positivity of the quadratic form Q(Φ) is extended from compact subspaces to the full Weil class, establishing global non-negative curvature on the functional sphere of ζ(s) with the critical line Re(s)=1/2 as the unique geodesic of zero curvature. 
The proof is entirely analytic, self-contained, and modular.