A formal proof of the Born rule from decision-theoretic assumptions
arXiv:0906.2718
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.
arXiv comment36 pages. To appear (under the title "How to prove the Born rule") in Saunders, Barrett, Kent and Wallace, "Many Worlds? Everett, Quantum Theory, and Reality" (Oxford University Press)
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