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

This paper formulates a novel, strictly unitary interpretation of quantum mechanics—the Relational KMS Interpretation—within the framework of stochastic non-commutative quantum geometry. We address and resolve the historical tension surrounding quantum non-locality and Bell’s theorem ("spooky action at a distance"). By utilizing the Tomita–Takesaki modular automorphism formalism on von Neumann factors of type III₁, we demonstrate that continuous macroscopic spacetime coordinates and causal temporal flows are not fundamental realities, but emergent thermodynamic parameters generated by a partial trace operation over hidden ultraviolet (UV) loop quantum gravity (LQG) spin network degrees of freedom. Consequently, EPR-type quantum entanglement does not involve superluminal signaling across physical space. Instead, non-local correlations manifest because the underlying quantum state remains globally interconnected within a timeless, pre-geometric Hilbert space, while the apparent spatial separation and the "collapse" of the wave function are localized observer-dependent consequences of thermodynamic KMS clock synchronization and Zurek einselection. Finally, we provide explicit, immediate "here-and-now" experimental testing protocols based on GUP-induced anharmonic phase noise detection in open quantum circuits via QuTiP integrators and long-baseline SPDC polarization phase diffusion bounds.