A formal proof of the Born rule from decision-theoretic assumptions

David Wallace

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arXiv · 0906.2718

A formal proof of the Born rule from decision-theoretic assumptions

David Wallace

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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.

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David Wallace. 2009-06-15. A formal proof of the Born rule from decision-theoretic assumptions. https://arxiv.org/abs/0906.2718

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