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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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Everettian Statistical Inference

Everettian Statistical Inference

(p.199) 6 Everettian Statistical Inference
The Emergent Multiverse

David Wallace

Oxford University Press

This chapter extends chapter 5's formal proof into a general discussion of how we should assess evidence — and, in particular, how we should test scientific theories — given the possibility that Everettian quantum mechanics is correct. The chapter proves — initially with informal arguments, but in due course with full mathematical rigor — that rational scientists should treat the branch weights assigned by quantum theory to quantum-mechanical branches exactly as if they were probabilities; as such, the chapter argues, probability is actually on firmer conceptual footing in quantum theory than in classical physics. After a brief digression to consider probability in approaches to quantum theory other than the Everett interpretation, the chapter concludes by placing the work in the broader context of recent work on Everett probability.

Keywords:   Everett interpretation, many worlds, probability in quantum theory, statistical inference, decision theory

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