A uniqueness theorem for ‘no collapse’ interpretations of quantum mechanics


Authors
Jeffrey Bub
University of Maryland, College Park
Abstract
We prove a uniqueness theorem showing that, subject to certain natural constraints, all 'no collapse' interpretations of quantum mechanics can be uniquely characterized and reduced to the choice of a particular preferred observable as determine (definite, sharp). We show how certain versions of the modal interpretation, Bohm's 'causal' interpretation, Bohr's complementarity interpretation, and the orthodox (Dirac-von Neumann) interpretation without the projection postulate can be recovered from the theorem. Bohr's complementarity and Einstein's realism appear as two quite different proposals for selecting the preferred determinate observable--either settled pragmatically by what we choose to observe, or fixed once and for all, as the Einsteinian realist would require, in which case the preferred observable is a 'beable' in Bell's sense, as in Bohm's interpretation (where the preferred observable is position in configuration space).
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DOI 10.1016/1355-2198(95)00019-4
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References found in this work BETA

Mathematical Foundations of Quantum Mechanics.John von Neumann & R. T. Beyer - 1955 - British Journal for the Philosophy of Science 8 (32):343-347.

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Citations of this work BETA

Interpreting the Quantum Mechanics of Cosmology.David Wallace - forthcoming - In A. Ijjas & B. Loewer (eds.), Philosophy of Cosmology: an Introduction. Oxford University Press.
Quantum Monism: An Assessment.Claudio Calosi - 2018 - Philosophical Studies 175 (12):3217-3236.
Probability in Modal Interpretations of Quantum Mechanics.Dennis Dieks - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):292-310.
Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability.Itamar Pitowsky - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.

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