Quantum probability and many worlds |
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| Institution: | 1. Department of Philosophy, University of Haifa, 31905, Israel;2. Department of Philosophy, The Hebrew University, Jerusalem 91905, Israel;1. Department of Philosophy, Logic and Scientific Method, London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK;2. Tilburg Center for Logic and Philosophy of Science, Tilburg University, 5000 LE Tilburg, The Netherlands;1. Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 1/c, Pisa, Italy;2. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia;3. Dipartimento di Matematica, Università degli Studi di Bari A. Moro and INFN sezione di Bari, Via Orabona, Bari, Italy;1. Department of Philosophy, University of Geneva, 2 rue de Candolle, CH-1211, Geneva, Switzerland;2. Chair of Excellence in Philosophy of Quantum Physics, Institut Néel & PPL, Université Grenoble Alpes, F-38000 Grenoble, France;3. School of Historical and Philosophical Inquiry, The University of Queensland, St Lucia QLD 4072, Australia;1. Berkeley Center for Theoretical Physics, Department of Physics, University of California, Berkeley, CA 94720, USA;2. Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;3. Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, Kashiwa 277-8583, Japan |
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| Abstract: | We discuss the meaning of probabilities in the many worlds interpretation of quantum mechanics. We start by presenting very briefly the many worlds theory, how the problem of probability arises, and some unsuccessful attempts to solve it in the past. Then we criticize a recent attempt by Deutsch to derive the quantum mechanical probabilities from the non-probabilistic parts of quantum mechanics and classical decision theory. We further argue that the Born probability does not make sense even as an additional probability rule in the many worlds theory. Our conclusion is that the many worlds theory fails to account for the probabilistic statements of standard (collapse) quantum mechanics. |
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