A formal proof of the born rule from decision-theoretic assumptions [aka: How to Prove the Born Rule]
In Simon Saunders, Jon Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press (2010)
I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics. I sketch the argument informally, then prove it formally, and lastly consider a number of proposed ``counter-examples'' to show exactly which premises of the argument they violate. (This is a preliminary version of a chapter to appear --- under the title ``How to prove the Born Rule'' --- in Saunders, Barrett, Kent and Wallace, "Many worlds? Everett, quantum theory and reality", forthcoming from Oxford University Press.).
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Against the Empirical Viability of the Deutsch–Wallace–Everett Approach to Quantum Mechanics.Richard Dawid & Karim P. Y. Thébault - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:55-61.
Many Worlds: Decoherent or Incoherent?Karim Thébault & Richard Dawid - 2015 - Synthese 192 (5):1559-1580.
Similar books and articles
General Relativity and the Probability Interpretation of Everett's Relative State Formulation.David Strayhorn - unknown
Everettian Rationality: Defending Deutsch's Approach to Probability in the Everett Interpretation.David Wallace - 2003 - Studies in History and Philosophy of Science Part B 34 (3):415-439.
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 38 (2):311-332.
Added to index2009-06-17
Total downloads182 ( #24,601 of 2,168,588 )
Recent downloads (6 months)1 ( #346,837 of 2,168,588 )
How can I increase my downloads?