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Properties and the Born Rule in GRW Theory

Frigg, Roman (2018) Properties and the Born Rule in GRW Theory. Collapse of the Wave Function: Models, Ontology, Origin, and Implications..

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Abstract

How are properties encoded in GRW theory? In this chapter I discuss an influential answer to this question, the so-called Fuzzy Link. Lewis (1997) argued that GRW theory, when interpreted in terms of the Fuzzy Link, implies that arithmetic does not apply to ordinary objects, an argument now known as the ‘counting anomaly’. I take this argument as the starting point for a discussion of the property structure of GRW theory, and collapse interpretations of quantum mechanics in general. The main lesson to be drawn
from the counting anomaly is that the property structure of these theories are more complex than that of standard quantum theories (and classical mechanics) because a seemingly plausible principle, the composition principle,
fails.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Frigg, Romanr.p.frigg@lse.ac.uk
Keywords: quantum mechanics, GRW theory, wave function collapse, Born's rule, composition principle, fallacy of composition.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Roman Frigg
Date Deposited: 19 Jul 2022 13:01
Last Modified: 19 Jul 2022 13:01
Item ID: 20933
Journal or Publication Title: Collapse of the Wave Function: Models, Ontology, Origin, and Implications.
Official URL: https://www.cambridge.org/core/books/collapse-of-t...
DOI or Unique Handle: Online ISBN: 9781316995457
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 2018
URI: http://philsci-archive.pitt.edu/id/eprint/20933

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