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

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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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  1. Lincoln Laboratory, Massachusetts Institute of Technology, 244 Wood Street, Lexington, Massachusetts, 02420-9185

    Mark A. Rubin

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Rubin, M.A. Relative Frequency and Probability in the Everett Interpretation of Heisenberg-Picture Quantum Mechanics. Foundations of Physics 33, 379–405 (2003). https://doi.org/10.1023/A:1023765114419

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