A global equilibrium as the foundation of quantum randomness |
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| Authors: | Detlef Dürr Sheldon Goldstein Nino Zanghí |
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| Affiliation: | (1) Department of Mathematics, Rutgers University, 08903 New Brunswick, New Jersey;(2) Fakultät für Mathematik, Universität München, Theresienstrasse 39, 8000 München 2, Germany;(3) Istituto di Fisica, Università di Genova, INFN, Via Dodecanesco 33, 16146 Genova, Italy |
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| Abstract: | We analyze the origin of quantum randomness within the framework of a completely deterministic theory of particle motion—Bohmian mechanics. We show that a universe governed by this mechanics evolves in such a way as to give rise to the appearance of randomness, with empirical distributions in agreement with the predictions of the quantum formalism. Crucial ingredients in our analysis are the concept of the effective wave function of a subsystem and that of a random system. The latter is a notion of interest in its own right and is relevant to any discussion of the role of probability in a deterministic universe.Research supported in part by NSF Grant DMS-9105661. |
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