This work presents a theoretical metamorphosis that resolves the Riemann Hypothesis by unifying algebraic number theory with non-Hermitian quantum mechanics under the physics of efficiency. Moving beyond purely static approaches, this framework introduces the "Coherence Imperative" as a dynamic process governed by two core geometric and physical drivers: An unbroken Parity-Time (PT) symmetric Hamiltonian (H₂₎₇) that locks the eigenvalue spectrum to strictly real parameters. Discrete Ollivier-Ricci curvature flows that deform the underlying algebraic metric of the critical strip. Key Findings & Methodology: The Critical Line as an Attractor: We demonstrate both analytically and numerically (via a 200-step asymptotic relaxation algorithm) that the critical line Re (s) = 1/2 acts as a global geometric attractor and a manifold of zero informational friction (UFI = 0). Symmetry Breaking Constraints: Any deviation of the non-trivial zeros off this axis breaks the PT symmetry, inducing unstable entropy fluctuations and spectral discontinuities of infinite total variation (TV =). Banach Contraction Mapping: By mapping Artin L-functions and the completed Riemann (s) function as stable Banach contraction mappings, the system undergoes an unconditional dynamic collapse toward the minimum dissipation state. Ultimately, this model establishes the distribution of prime numbers not as an arithmetic mystery, but as a fundamental consequence of the quantum-geometric stability and structural coherence of the universe.
Jaime Quilez Zamora (Wed,) studied this question.