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Journal of Experimental and Theoretical Physics Letters

The Einstein-Podolsky-Rosen effect and causality

S. N. Molotkov, S. S. Nazin

Published Jul 1, 1999• 0 citations
Publisher

Abstract

It is shown for a simple example that the formalism of quantum field theory and the requirement of microcausality do not forbid complete correlation of the results of measurements performed by two observers separated by a spacelike interval.
DOI
10.1134/1.568129

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In Mundy [a] I offered an axiomatic analysis of the physical content of the kinematics of special relativity which suggests that, contrary to common belief, there is no incompatibility between special relativity and spacelike (faster-than-light) causation. An anonymous referee pointed out that this conclusion might have some bearing on problems in the interpretation of quantum mechanics such as the Einstein-Podolsky-Rosen problem, since one line of solution to these problems involves the postulation of spacelike causal processes. The present note will develop this idea.
We show that the Tomonaga-Schwinger formalism in quantum field theory provides a manifestly Lorentz covariant description of an Einstein-Podolsky-Rosen (EPR) correlated state defined on a curved-space-like surface. This avoids the notion of a universal time and clearly demarcates between the completion of the measuring process on a member of an EPR pair and its nonlocal effect on the state of its partner. Being reciprocal and restricted to a spacelike surface, the latter is deterministic but not causal and is consistent with Lorentz invariance.
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