Relative Frequency and Probability in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics

Foundations of Physics 33 (3):379-405 (2003)
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Abstract

The existence of probability in the sense of the frequency interpretation, i.e., probability as “long term relative frequency,” is shown to follow from the dynamics and the interpretational rules of Everett quantum mechanics in the Heisenberg picture. This proof is free of the difficulties encountered in applying to the Everett interpretation previous results regarding relative frequency and probability in quantum mechanics. The ontology of the Everett interpretation in the Heisenberg picture is also discussed

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Citations of this work

Many-worlds interpretation of quantum mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.
Spatial Degrees of Freedom in Everett Quantum Mechanics.Mark A. Rubin - 2006 - Foundations of Physics 36 (8):1115-1159.
Observers and Locality in Everett Quantum Field Theory.Mark A. Rubin - 2011 - Foundations of Physics 41 (7):1236-1262.

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References found in this work

Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
Many-worlds interpretation of quantum mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.
'Relative State' Formulation of Quantum Mechanics.Hugh Everett - 1957 - Reviews of Modern Physics 29 (3):454-462.

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