Quantum Geometry Regularization and the Emergence of Macroscopic Time. Part III: High-Energy Electromagnetic Fields as an Effective Probe of Non-Commutative Spacetime Foam and Lorentz Invariance Violation (Version 2)

This paper establishes a rigorous, self-consistent experimental protocol for testing the Relational KMS Interpretation of Quantum Mechanics under the programmatic framework of the Three Laws of Non-Markovian Quantum Mechanics. We analyze the behavior of an emergent macroscopic spacetime metric under extreme, coherent electromagnetic shear stress. Rather than evoking non-unitary transitions, we demonstrate that a high-intensity localized electromagnetic energy density induces a measurable perturbation in the Tomita–Takesaki modular flow of the underlying von Neumann factors of type II(infinity), shifting the system away from its isotropic Kubo–Martin–Schwinger (KMS) equilibrium state. By implementing a non-singular Gauss–Nicolai electrostatic boundary (where the modified potential at the limit r->0 approaches approximately -134.2 eV), we enforce strict loop convergence and unit norm preservation. The framework establishes definitive Popperian falsification criteria via three independent diagnostic channels: cryogenic quantum optomechanics modeled via open-system non-Markovian Lindblad dynamics within the SciPy/QuTiP framework, high-precision laser polarimetry evaluated via automated Jacobian component separation, and picosecond time-of-flight spectrometry monitoring anomalous photon group velocity jitter.