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Foundations of Physics

Local observables, nonlocality, and asymptotically separable quantum mechanics

K. Kong Wan

Published Sep 1, 1988• 3 citations
Publisher
DOI
10.1007/bf01855941

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The asymptotic behaviour of quantum mechanical states at large times has been discussed in two recent papers by Wan and McLean (1983). In a third paper a detailed study of the corresponding behaviour of observables was made. The mathematical properties of asymptotic operators obtained are applied in this paper to establish an algebraic formulation of quantum mechanics which has the characteristic of being asymptotically separable. The age-old non-locality problem in quantum mechanics can then be effectively tackled.

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The asymptotic behaviour of quantum mechanical states at large times has been discussed in two recent papers by Wan and McLean (1983). In a third paper a detailed study of the corresponding behaviour of observables was made. The mathematical properties of asymptotic operators obtained are applied in this paper to establish an algebraic formulation of quantum mechanics which has the characteristic of being asymptotically separable. The age-old non-locality problem in quantum mechanics can then be effectively tackled.
Quantum nonlocality may be an artifact of the assumption that observers obey the laws of classical mechanics, while observed systems obey quantum mechanics. I show that, at least in the case of Bell's Theorem, locality is restored if observed and observer are both assumed to obey quantum mechanics, as in the Many-Worlds Interpretation. Using the MWI, I shall show that the apparently "non-local" expectation value for the product of the spins of two widely separated particles --- the "quantum" part of Bell's Theorem --- is really due to a series of three purely local measurements. Thus, experiments confirming "nonlocality" are actually confirming the MWI.