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Probability in the Many-Worlds Interpretation of Quantum Mechanics

Vaidman, Lev (2011) Probability in the Many-Worlds Interpretation of Quantum Mechanics. [Published Article]

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    Abstract

    It is argued that, although in the Many-Worlds Interpretation of quantum mechanics there is no ``probability'' for an outcome of a quantum experiment in the usual sense, we can understand why we have an illusion of probability. The explanation involves: a). A ``sleeping pill'' gedanken experiment which makes correspondence between an illegitimate question: ``What is the probability of an outcome of a quantum measurement?'' with a legitimate question: ``What is the probability that ``I'' am in the world corresponding to that outcome?''; b). A gedanken experiment which splits the world into several worlds which are identical according to some symmetry condition; and c). Relativistic causality, which together with (b) explain the Born rule of standard quantum mechanics. The Quantum Sleeping Beauty controversy and ``caring measure'' replacing probability measure are discussed.


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    Item Type: Published Article
    Additional Information: The Probable and the Improbable: Understanding Probability in Physics, Essays in Memory of Itamar Pitowsky
    Keywords: Quantum Mechanics, Probability, The Many-Worlds Interpretation, Sleeping Beauty, Born Rule
    Subjects: Specific Sciences > Probability/Statistics
    Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Lev Vaidman
    Date Deposited: 08 Apr 2011 09:07
    Last Modified: 08 Apr 2011 09:09
    Item ID: 8558
    Journal or Publication Title: “Probability in Physics” ed. by Y. Ben-Menahem and M. Hemmo
    Publisher: Springer
    URI: http://philsci-archive.pitt.edu/id/eprint/8558

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