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Bulletin of the American Physical Society

An Introduction to Euclidean Relativistic Quantum Mechanics

Philip Kopp, Wayne Nicholas Polyzou

Published Apr 7, 2014• 0 citations
Publisher
DOI
10.1103/baps.2014.april.r6.6

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Preface / Forward / Acknowledgements / Introduction / Invitation to Stochastic Calculus / Hydrodynamical Formulation of Quantum Mechanics / Stochastic Diffusion Processes / Selected Problems in Stochastic Mechanics / Stochastic Variational Principles / Euclidean Quantum Mechanics / Stochastic Path Space Picture / Relativistic Stochastic Mechanics / Dirac Equation - Stochastic Viewpoint / Stochastic Field Theory / Stochastic Mechanics on Manifolds / Stochastic Route to Quantum Mechanics - Quest Continues / References / Author Index / Subject Index.
: In our previous works, we showed that the Einstein-Podolsky-Rosen (EPR) paradox could be resolved by constructing a Euclidean relativity that not only leads to the same results obtained from Einstein general relativity but also permits an instantaneous transmission of interaction. However, there still remains the question about the nature of these physical fields and their mathematical formulations if they exist. In this work we show that it is possible to formulate Euclidean relativistic field equations similar Dirac equation from a general system of linear first order partial differential equation. Since the speeds of the Euclidean relativistic fields have no upper values, they can be used to rectify the quantum entanglement in quantum mechanics.