The Relational KMS Interpretation of Quantum Mechanics: Resolving Non-Locality and "Spooky Action" via Emergent Modular Time Topology (v2)

Abstract

This paper presents a mathematically self-consistent, strictly unitary reformulation of quantum measurement theory—the Relational KMS Interpretation—constructed within the framework of non-commutative spectral geometry. We systematically resolve the historical tension surrounding Einstein-Podolsky-Rosen (EPR) non-locality and Bell’s theorem without invoking superluminal signaling or subjective wave function collapse. By evaluating the partial trace over microscopic ultraviolet (UV) Planckian loop quantum gravity (LQG) spin network configurations, we demonstrate that smooth 4D Lorentzian spacetime coordinates and causal temporal flows are not fundamental elements of reality. Instead, they manifest as emergent macroscopic thermodynamic parameters generated via Connes’ outer automorphism scaling groups operating on semi-finite type $II_\infty$ von Neumann factors. In this updated formulation (v2), we eliminate the infrared (IR) divergence flaws of the proto-model by introducing a non-perturbative logarithmic renormalization group (RG) suppression of Planck-scale phase diffusion, fully reconciling the pre-geometric vacuum framework with pristine long-baseline quantum communication data (e.g., the Micius satellite array). A rigorous, non-biological empirical verification matrix utilizing topological polaritonic waveguides, Luttinger quantum liquids, and Faraday pilot-wave memory networks is established to ensure strict Popperian falsifiability.