Elsevier

Physics Reports

Volume 172, Issue 3, January 1989, Pages 93-122
Physics Reports

Non-locality and locality in the stochastic interpretation of quantum mechanics

https://doi.org/10.1016/0370-1573(89)90160-9Get rights and content

Abstract

We review the stochastic interpretation of the quantum theory and show that, like the causal interpretation it necessarily involves non-locality. We compare and contrast our approach with that of Nelson. We then extend the stochastic interpretation to the Pauli equation. This lays the ground for a further extension to the Dirac equation and therefore enables us to discuss this interpretation in a relativistic context. We find that a co consistent treatment of non-locality can be given and that it is indeed possible further to regard this non-locality as a limiting case of a purely local theory in which the transmission of what we have called active information is not restricted to the speed of light. In this case both quantum theory and relativity come out as very good statistical approximations. However, because this basically local theory implies that these latter are not exactly valid, it is possible to propose tests that could in principle distinguish such a theory from the current theories.

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