Local Tensorial Structure of the Projection Transition Operator: Resolving EPR Nonlocality (v.4).

Hennadii Kovalov

Published Sep 5, 2026• 0 citations

Abstract

We formalize a bilocal extension of the Classical Transition Operator within the framework of Phase Dynamics to resolve the Einstein–Podolsky–Rosen (EPR) nonlocality paradox. By treating the electron () and positron () not as discrete, spatially isolated entities, but as dual, time-symmetric observational projections of a singular topological -cell, quantum entanglement is shown to be a strict artifact of dimensional reduction. Introducing a dynamic phase shift governed by an external Minkowski 4-potential , we employ the 4-dimensional Stokes’ theorem to map the phase accumulation directly onto the classical Maxwell field tensor , naturally deriving the covariant Lorentz force equation and its sign asymmetry without free parameters. Furthermore, we prove that the positron is a reactive topological "echo" of the primary forward phase step, introducing a sub-temporal causal delay bound by the Compton scale (), which resolves the cosmological baryon asymmetry problem. Finally, we demonstrate that annihilation is not the destruction of matter, but the geometric collapse of the projection Jacobians and — extracting the system from Minkowski spacetime and returning it to the pure phase metric , where energy is absolutely conserved and probability vanishes.

DOI: 10.5281/zenodo.22325893

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