Probability and the Many-Worlds Interpretation of Quantum Theory
Abstract
Two works related to the concept of probability in the framework of the many-worlds interpretation are presented. The first deals with recent controversy in classical probability theory. Elga and D. Lewis argues that Sleeping Beauty should have different credences for the result of a fair coin toss in a particular situation. It is argued that when the coin is replaced by a quantum coin, the credence is unambiguous and since one should not expect a difference between classical and quantum coins, this provides a particular resolution of the controversy. Second work is an analysis of a recent criticism by Byrne and Hall of Everett-type approach presented by Chalmers. It is shown that the criticism has no universal validity and that the Byrne and Hall rejection of any Everett-type interpretation of quantum mechanics is unfounded.
Cite
@article{arxiv.quant-ph/0111072,
title = {Probability and the Many-Worlds Interpretation of Quantum Theory},
author = {Lev Vaidman},
journal= {arXiv preprint arXiv:quant-ph/0111072},
year = {2007}
}
Comments
15 pages. Contribution to the conference: Reconsideration of Foundations of Quantum Mechanics, Sweeden 2001. Section 3 has overlap with quant-ph/0001057