The Physical Topology of Riemann Zeros: Dual Evidence from Quantum Coherence and Macroscopic Dissipation

The renowned Hilbert-Pólya conjecture posits that the nontrivial zeros of the Riemann function correspond to the real energy spectrum of a physical Hermitian operator. While the Gaussian Unitary Ensemble (GUE) successfully reproduces microscopic level repulsion, we reveal a critical macroscopic deficit: its intrinsic Wigner semicircle law fundamentally conflicts with the highly dense Weyl logarithmic law (E E) of prime distribution, inevitably causing severe high-frequency structural divergence. Here, we demonstrate a paradigm shift: Riemann zeros are the native eigenstates of a deterministic, strongly coupled, two-dimensional (2D) area-preserving Hénon topological geometry. Through rigorous Jacobian bifurcation analysis, we anchor the system's absolute topological rigidity at the critical edge of deep chaos (a = 1. 02), fortified by a quantum field theory-inspired vacuum ultraviolet (UV) regularization (+0. 05q⁴) that strictly suppresses unphysical quantum tunneling. We subject this deterministic skeleton to a cross-scale double-blind test using two orthogonal solvers. Microscopically, unitary quantum interference rigidly reproduces the macroscopic logarithmic density and microscopic repulsion (MSE = 12. 3 up to the 100th zero). Macroscopically, a million-dimensional Markovian Fokker-Planck dissipative probability flow converges to the exact same topological logarithmic skeleton. Remarkably, our purely theoretical model precisely predicts the macroscopic decoherence breakdown valley recently observed in state-of-the-art superconducting quantum hardware (USTC). This synchronicity across physical circuits and abstract geometric computation unambiguously confirms that prime distribution is a fundamental wave-particle steady state of nature, bridging minimal quantum interference and macroscopic non-equilibrium dissipation at the boundary of deterministic chaos.