Probability in modal interpretations of quantum mechanics

Modal interpretations have the ambition to construe quantum mechanics as an objective, man-independent description of physical reality. Their second leading idea is probabilism: quantum mechanics does not completely fix physical reality but yields probabilities. In working out these ideas an important motif is to stay close to the standard formalism of quantum mechanics and to refrain from introducing new structure by hand. In this paper we explain how this programme can be made concrete. In particular, we show that the Born probability rule, and sets of definite-valued observables to which the Born probabilities pertain, can be uniquely defined from the quantum state and Hilbert space structure. We discuss the status of probability in modal interpretations, and to this end we make a comparison with many-worlds alternatives. An overall point that we stress is that the modal ideas define a general framework and research programme rather than one definite and finished interpretation.
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DOI 10.1016/j.shpsb.2006.05.005
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References found in this work BETA
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
David Lewis (1980). A Subjectivist's Guide to Objective Chance. In Richard C. Jeffrey (ed.), Studies in Inductive Logic and Probability. University of California Press 83--132.
David Deutsch (1999). Quantum Theory of Probability and Decisions. Proceedings of the Royal Society of London:3129--37.

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Citations of this work BETA
Olimpia Lombardi & Mario Castagnino (2008). A Modal-Hamiltonian Interpretation of Quantum Mechanics. Studies in History and Philosophy of Science Part B 39 (2):380-443.
Christian de Ronde, Hector Freytes & Graciela Domenech (2014). Interpreting the Modal Kochen–Specker Theorem: Possibility and Many Worlds in Quantum Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45 (1):11-18.

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