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Similarity, Topology, and Physical Significance in Relativity Theory

Fletcher, Samuel C. (2014) Similarity, Topology, and Physical Significance in Relativity Theory. British Journal for the Philosophy of Science, 67 (2). pp. 365-389. ISSN 1464-3537

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Abstract

Stephen Hawking, among others, has proposed that the topological stability of a property of spacetime is a necessary condition for it to be physically significant. What counts as stable, however, depends crucially on the choice of topology. Some physicists have thus suggested that one should find a canonical topology, a single “right” topology for every inquiry. While certain such choices might be initially motivated, some little-discussed examples of Geroch and some propositions of my own show that the main candidates—and each possible choice, to some extent—faces the horns of a no-go result. I suggest that instead of trying to decide what the “right” topology is for all problems, one should let the details of particular types of problems guide the choice of an appropriate topology.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Fletcher, Samuel C.scfletch@umn.edu0000-0002-9061-8976
Keywords: similarity, topology, physical significance, general relativity, models, contextualism
Subjects: General Issues > Models and Idealization
Specific Sciences > Physics > Relativity Theory
Depositing User: Prof. Samuel C. Fletcher
Date Deposited: 28 May 2020 03:07
Last Modified: 28 May 2020 03:07
Item ID: 17235
Journal or Publication Title: British Journal for the Philosophy of Science
DOI or Unique Handle: 10.1093/bjps/axu044
Subjects: General Issues > Models and Idealization
Specific Sciences > Physics > Relativity Theory
Date: 29 June 2014
Page Range: pp. 365-389
Volume: 67
Number: 2
ISSN: 1464-3537
URI: https://philsci-archive.pitt.edu/id/eprint/17235

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