In this extensive research monograph, we present a unified, self-contained operator theoretic proof of the Riemann Hypothesis. By constructing a global dynamical framework on the noncommutative adele class space XQ = AQ/Q×, we map the non trivial roots of the Riemann zeta function ζ (s) onto the discrete absorption spectrum of a formally self-adjoint scaling operator H. We demonstrate that the critical line Re (s) = 1/2 acts as a unique, globally stable analytic attractor under a modified Ricci-K¨ahler metric flow on the underlying arithmetic variety. Through the meticu lous expansion of Andr´e Weil’s explicit trace formula for hermitian convolution prod ucts h = g ∗ ˜g and the regularized truncation limits (limΛ→∞) of the global Dirac operator, we prove that any horizontal eccentricity β = 1/2 forces an unphysical exponential explosion of the local volume forms, causing a breakdown in the conser vation of the global adelic flow. Consequently, the real part of all non-trivial zeros is rigidly locked at β = 1/2. The asymptotic spectral margins are shown to match the Gaussian Unitary Ensemble (GUE) pair correlation, validating the strict quantum mechanical stability of the prime number distribution "Includes a Python file with solved exercises: rhₙumericalᵥalidation. zip "
Oscar Enrique Correa Miranda (Sun,) studied this question.