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The Emergent MultiverseQuantum Theory according to the Everett Interpretation$
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David Wallace

Print publication date: 2012

Print ISBN-13: 9780199546961

Published to Oxford Scholarship Online: September 2012

DOI: 10.1093/acprof:oso/9780199546961.001.0001

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Symmetry, Rationality, and the Born Rule

Symmetry, Rationality, and the Born Rule

Chapter:
(p.157) 5 Symmetry, Rationality, and the Born Rule
Source:
The Emergent Multiverse
Author(s):

David Wallace

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199546961.003.0007

Building on work originally carried out by David Deutsch, the chapter develops a mathematically rigorous framework for discussing the quantum probability rule in terms of the preferences between various courses of action of rational agents. Within this framework, the chapter proves formally that any rational agent who believes in the truth of Everettian quantum mechanics and who knows (or thinks they know) the current quantum state of their branch will act as if future branching was a probabilistic process with the probabilities given by the standard quantum-mechanical probability rule (the ‘Born rule’). The chapter concludes by analysing other proposed rules for action in a quantum universe and showing where they violate the axioms for quantum decision making which it proposes and defends.

Keywords:   Everett interpretation, many worlds, probability in quantum theory, decision theory, David Deutsch

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