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Dirac equation in a six-dimensional spacetime: Temporal polarization for subluminal interactions
Phys. Rev. D 32, 891 – Published 15 August, 1985
DOI: https://doi.org/10.1103/PhysRevD.32.891
Abstract
We examine the effect of the introduction of a six-dimensional extension of the Dirac equation on the problem of the physical meaning of the additional temporal coordinates of a (3+3) spacetime. We demonstrate that the electromagnetic field introduces a polarization of the temporal axes and that this polarization effect divides the (3+3) spacetime into six (3+1) Lorentzian subspaces. Subluminal interactions which involve fields and particles within a specified (3+1) subspace do not introduce multitemporal motion. We have therefore shown that a (3+3) formulation of the problems of subluminal and superluminal motion along with extended relativity is consistent with ordinary interactions predicted by the Dirac equation.
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