Chapter

Probabilities in Realist Views of Quantum Mechanics

Christopher G. Timpson

in Probabilities in Physics

Published in print September 2011 | ISBN: 9780199577439
Published online September 2011 | e-ISBN: 9780191730603 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199577439.003.0008
Probabilities in Realist Views of Quantum Mechanics

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This chapter examines probabilities in views that take a realist stance on quantum mechanics, i.e., the Ghirardi-Rimini-Weber (GRW) theory, the Bohm theory and the Everett interpretation. The GRW theory is found to claim a world that is chancy at a fundamental level at which ‘hits’ occur following an objective probability distribution. Although the Bohm theory gives up indeterminism, it is shown to allow for objective probabilities, this time ranging over initial conditions. However, the theory has difficulties in explaining the validity of the Born Rule. The Everett interpretation is found to be more satisfying in this respect. As Wallace and Deutsch have shown, rational agents in a many-world scenario should set their credences following the Born Rule if they choose among quantum games.

Keywords: probabilities; quantum mechanics; Ghirardi-Rimini-Weber theory; Bohm theory; Born Rule; Everett; quantum games; David Wallace; David Deutsch

Chapter.  14480 words. 

Subjects: Philosophy of Science

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