Wallace, David (2009) A formal proof of the Born rule from decision-theoretic assumptions. [Preprint]
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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- Wallace, DavidA formal proof of the Born rule from decision-theoretic assumptions. (deposited 16 Jun 2009)[Currently Displayed]
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