Cosmological Evolution as a Non-autonomous Dynamical System: Empirical Evidence from the Fine-Structure Constant, Hubble Tension, and Riemann Zeros

Contemporary physics faces irreconcilable cross-scale anomalies, including the drifting fine-structure constant (Webb anomaly), the Hubble tension, and the topological cutoff in quantum simulations. We argue that these crises originate from the static, autonomous background assumed by Standard Models. Here, we propose the "Cosmic Computational Relaxation Hypothesis. " By establishing a spectral isomorphism between non-autonomous quadratic maps and Riemann zeros, we derive a first-principles second-order logarithmic relaxation law (1/² t) that governs the thermodynamic cooling of the spacetime continuum. Without introducing arbitrary parameters or dark energy, this dynamic equation unifies three independent empirical milestones: (1) A regression on 127 unbinned quasar absorption systems confirms the long-range temporal drift of the fine-structure constant (> 5. 6 significance) ; (2) Four absolute Hubble anchors based on state-of-the-art 2025 JWST observations achieve strict collinearity (R² = 0. 907) within the relaxation manifold, proving cosmic acceleration is merely a "phantom acceleration" induced by underdamped temporal relaxation; (3) A derived Nyquist topological cutoff rigorously reproduces the macroscopic divergence observed in trapped-ion quantum simulations of Riemann zeros. For the first time, this study provides a novel perspective within a non-autonomous dynamical framework to understand cross-scale physical tensions and the evolutionary origin of the cosmological constant. This dynamical mechanism not only serves as a phenomenological supplement to naturally resolve the absolute constant paradigm in Standard Models, but also provides a highly heuristic new approach for exploring the asymptotic thermodynamic relaxation (a "computational freeze") of the Universe.