Quantum probability and many worlds

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 nonprobabilistic 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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.shpsb.2006.04.005
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 31,871
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Truth and Probability.F. P. Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. Routledge. pp. 52-94.
Understanding Deutsch's Probability in a Deterministic Universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Quantum Probability From Subjective Likelihood: Improving on Deutsch's Proof of the Probability Rule.David Wallace - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):311-332.

View all 21 references / Add more references

Citations of this work BETA
The Problem of Confirmation in the Everett Interpretation.Emily Adlam - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:21-32.
Everett and the Born Rule.Alastair I. M. Rae - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):243-250.
Against the Empirical Viability of the Deutsch–Wallace–Everett Approach to Quantum Mechanics.Richard Dawid & Karim Thébault - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:55-61.

Add more citations

Similar books and articles
Possible Worlds in the Modal Interpretation.Meir Hemmo - 1996 - Philosophy of Science 63 (3):337.
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.
Many Worlds, the Cluster-State Quantum Computer, and the Problem of the Preferred Basis.Michael E. Cuffaro - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (1):35-42.
Many-Worlds Interpretation of Quantum Mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.
Probability and Nonlocality in Many Minds Interpretations of Quantum Mechanics.Meir Hemmo & Itamar Pitowsky - 2003 - British Journal for the Philosophy of Science 54 (2):225-243.
Added to PP index
2009-08-21

Total downloads
298 ( #12,760 of 2,231,923 )

Recent downloads (6 months)
3 ( #191,075 of 2,231,923 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature