A uniqueness theorem for 'no collapse' interpretations of quantum mechanics

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
John von Neumann & R. T. Beyer (1958). Mathematical Foundations of Quantum Mechanics. British Journal for the Philosophy of Science 8 (32):343-347.

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Citations of this work BETA
Dennis Dieks (2007). Probability in Modal Interpretations of Quantum Mechanics. Studies in History and Philosophy of Science Part B 38 (2):292-310.
Guido Bacciagaluppi & Meir Hemmo (1996). Modal Interpretations, Decoherence and Measurements. Studies in History and Philosophy of Science Part B 27 (3):239-277.
Hans Halvorson (2004). Complementarity of Representations in Quantum Mechanics. Studies in History and Philosophy of Science Part B 35 (1):45-56.
Armond Duwell (2008). Quantum Information Does Exist. Studies in History and Philosophy of Science Part B 39 (1):195-216.

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