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Quantum nonlocality and conservation of momentum

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Herein, we review a many-body relativistic theory in the context of quantum entanglement and nonlocality. We extract from a collection of charged particles a formulation which obeys (i) particle‐particle symmetry, (ii) conservation rules for the total canonical momentum and total energy, (iii) Maxwell's equations, and (iv) relativistic invariance. An important aspect related to quantum entanglement is the existence and the formulation of a conservation law for total generalized momenta within a relativistic action-at-a-distance framework for such a collection of charged particles. It is thus found that there is more correspondence between some of the older Machian notions of classical mechanics and quantum entanglement than previously realized and it is suggested that the apparent nonlocal effects in quantum mechanics can be explained without having to resort to any violation of causality thanks to a “handshake” principle resulting from Hamilton's principle applied to a closed system of charged particles as a whole ensemble.
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Keywords: Conservation of Momentum; Quantum Nonlocality

Document Type: Research Article

Publication date: September 6, 2015

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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