On the property structure of realist collapse interpretations of quantum mechanics and the so-called "counting anomaly"


Authors
Roman Frigg
London School of Economics
Abstract
The aim of this article is twofold. Recently, Lewis has presented an argument, now known as the "counting anomaly", that the spontaneous localization approach to quantum mechanics, suggested by Ghirardi, Rimini, and Weber, implies that arithmetic does not apply to ordinary macroscopic objects. I will take this argument as the starting point for a discussion of the property structure of realist collapse interpretations of quantum mechanics in general. At the end of this I present a proof of the fact that the composition principle, which holds true in standard quantum mechanics, fails in all realist collapse interpretations. On the basis of this result I reconsider the counting anomaly and show that what lies at the heart of the anomaly is the failure to appreciate the peculiarities of the property structure of such interpretations. Once this flaw is uncovered, the anomaly vanishes.
Keywords Quantum theory
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DOI 10.1080/02698590305232
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References found in this work BETA

Paradoxes.R. M. Sainsbury - 2009 - Cambridge University Press.

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Citations of this work BETA

Probability in GRW Theory.Roman Frigg & Carl Hoefer - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):371-389.
The Problem of Ontology for Spontaneous Collapse Theories.Bradley Monton - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):407-421.
Interpreting Spontaneous Collapse Theories.Peter J. Lewis - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):165-180.
GRW: A Case Study in Quantum Ontology.Peter J. Lewis - 2006 - Philosophy Compass 1 (2):224–244.

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