Local Geometrical Determinism: Resolving Quantum Entanglement and Bell's Non-Locality via Phase-Space Contiguity in Finsler-Mucini TR Gravity

Remy Mucini

Published Oct 20, 2026• 0 citations

Abstract

This paper provides a strictly local, deterministic, and geometric derivation of quantum entanglement within the framework of Finsler-Maxwell Thermo-Relativistic (TR) Gravity. By extending the 4-dimensional positional space-time manifold to the 8-dimensional phase space of the Finsler tangent bundle TM, we demonstrate that quantum entanglement is not a non-local "spooky action at a distance." Instead, it is a manifestation of topological contiguity along the vertical fibers of velocity, frequency, and temperature. We prove that the measurement-induced correlation wave propagates at a superluminal coordinate velocity (V_intrication approx 2.603 * c) from a Riemannian perspective, yet remains strictly causal and subluminal (V_intrication < V_lim) within the conformally broadened Finslerian light-cone matrix. This approach provides a self-regularizing, geometric resolution to the Einstein-Podolsky-Rosen (EPR) paradox without violating local Lorentz covariance, showing that quantum correlations are encoded directly within the intrinsic non-zero bundle torsion.

DOI: 10.5281/zenodo.23495023

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p

-adic state-space discretization. The results demonstrate that the Ontic Tensor model reproduces sinusoidal Bell correlations with an

R^2 > 0.99

against standard quantum mechanical predictions. Furthermore, we identify a falsifiable “entanglement saturation” limit, predicting that entanglement fidelity must decay beyond

m = \log_2(p)

qubits due to the finite information capacity of the invariant set. The implications of this research suggest a return to the Einsteinian ideal of local realism, where randomness is viewed as an emergent mask for underlying geometric complexity. By resolving the measurement problem through state convergence on a fractal attractor, we provide a non-perturbative pathway toward the unification of quantum field theory and general relativity. This work addresses seven critical gaps in the literature, establishing Superdeterminism as a rigorous, testable, and parsimonious framework for the future of physics.