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, and Reality. OUP (2010)
| Abstract | 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.). | |||||||||
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Similar books and articlesDavid Wallace (2003). Everettian Rationality: Defending Deutsch's Approach to Probability in the Everett Interpretation. Studies in History and Philosophy of Science Part B 34 (3):415-439.
David Wallace (2007). Quantum Probability From Subjective Likelihood: Improving on Deutsch's Proof of the Probability Rule. Studies in History and Philosophy of Science Part B 38 (2):311-332.
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