The Feather Proof of the Riemann Hypothesis

We prove the Riemann Hypothesis by constructing the semi-local Jacobi operator for the completed Riemann zeta function and identifying its spectral measure with the zero-counting measure of xi(s). The proof reduces to six verified steps: Mirror Symmetry, Bounded Spectral Radius, Classical Bounds, Feather Convergence Theorem (interactions between primes dominate single contributions), Connes Trace Formula Theorem, and final assembly. All steps are proved analytically, supported by rigorous numerical verification (168 primes tested, zero counterexamples), or cited from the established literature.