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The Many Worlds of Uncertainty

2003/10/02 by Dominic Horsman, Horsman, Dominic
Physics and Astronomy · Arts and Humanities · #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #Philosophy and History of Science

paper · pdf · doi:10.48550/arxiv.quant-ph/0310014

Abstract

The status of the uncertainty relations varies between the different interpretations of quantum mechanics. The aim of the current paper is to explore their meanings within a certain neo-Everettian many worlds interpretation. We will also look at questions that have been linked with the uncertainty relations since Heisenberg's uncertainty principle: those of joint and repeated measurement of non-commuting (or otherwise `incompatible') observables. This will have implications beyond the uncertainty relations, as we will see the fundamentally different way in which statistical statements are interpreted in the neo-Everett theory that we use.

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