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VOL. 20 | 2019 Relativistic-Geometric Entanglement: Symmetry Groups of Systems of Entangled Particles

Abstract

It is known that entangled particles involve Lorentz symmetry violation. Hence, we pay attention to Lorentz transformations of signature $(m,n)$ for all positive integers $m$ and $n$. We show that these form the symmetry groups by which systems of $m$ entangled $n$-dimensional particles can be understood, just as the common Lorentz group of signature $(1,3)$ forms the symmetry group by which Einstein's special theory of relativity is understood. A novel, unified parametric realization of the Lorentz transformations of any signature $(m,n)$ shakes down the underlying matrix algebra into elegant and transparent results.

Information

Published: 1 January 2019
First available in Project Euclid: 21 December 2018

zbMATH: 1414.81062
MathSciNet: MR3887757

Digital Object Identifier: 10.7546/giq-20-2019-266-284

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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