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arXiv:0810.2657quant-ph

Everett and the Born Rule

Alastair I. M. Rae

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Abstract

During the last ten years or so, derivations of the Born rule based on decision theory have been proposed and developed, and it is claimed that these are valid in the context of the Everett interpretation. This claim is critically assessed and it is shown that one of its key assumptions, although natural in the context of the Copenhagen interpretation, is not consistent with that of Everett. It is further argued that any interpretation that relates outcome likelihood to the expansion coefficients connecting the wavefunction with the eigenfunctions of the measurement operator must be inconsistent with the Everett interpretation.

arXiv comments
22 pages 1 figure
Journal reference
Studies in Hist Phil Modern Phys 40, 243-250 (2009)
DOI
Subjects
quant-phQuantum Physics

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    • To summarize the argument that the blog post makes: The multiverse interpretation accounts for cases where the probabilities of each distinct observable outcome are equal according to the Born rule. But it cannot account for cases where the Born rule says there are non-equal…

      boole1854View on HNParent context

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