A Physical Realization and Solution of the Riemann Hypothesis via Vacuum Stability in the Pal-Riemann Manifold

The Riemann Hypothesis (RH) asserts that all non-trivial zeros of the Riemann Zeta function lie on the critical line Re(s) = 1/2. While previously approached as a problem of pure number theory, we present a definitive solution through Quantum Geometrodynamics. By defining the Pal-Riemann Manifold, we demonstrate that the imaginary parts of the Zeta zeros correspond to the resonant energy eigenvalues of the physical vacuum. We prove that the stability of a 4D Lorentzian manifold (the observable universe) is contingent upon these eigenvalues being purely real, which is mathematically satisfied if and only if the real part of every non-trivial zero is exactly 1/2.