EPR effect in gravitational field: nature of non-locality

Abstract

The realization of the Einstein-Podolsky-Rosen effect by the correlation of spin projections of two particles created in the decay of a single scalar particle is considered for particles propagating in gravitational field. The absence of a global definition of spatial directions makes it unclear whether the correlation may exist in this case and, if yes, what directions in distant regions must be correlated. It is shown that in a gravitational field an approximate correlation may exist and the correlated directions are connected with each other by the parallel transport along the world lines of the particles. The reason for this is that the actual origin of the quantum non-locality is founded in local processes.

12 pages, LATEX

Cited by in corpus (9)

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• Einstein-Podolsky-Rosen correlation in gravitational field
• History state formalism for Dirac's theory
• Proof-of-Concept Experiments for Quantum Physics in Space
• Lorentz symmetry breaking effects on relativistic EPR correlations
• Reality, measurement and locality in Quantum Field Theory
• Wigner rotation via Fermi-Walker transport and relativistic EPR correlations in the Schwarzschild spacetime
• Gravitational effects on entangled states and interferometer with entangled atoms
• The shadows of quantum gravity on Bell's inequality