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Strange Couplings and Space-Time Structure

Published online by Cambridge University Press:  01 April 2022

Steven Weinstein
Steven Weinstein*
Affiliation:
Northwestern University
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Abstract

General relativity is commonly thought to imply the existence of a unique metric structure for space-time. A simple example is presented of a general relativistic theory with ambiguous metric structure. Brans-Dicke theory is then presented as a further example of a space-time theory in which the metric structure is ambiguous. Other examples of theories with ambiguous metrical structure are mentioned. Finally, it is suggested that several new and interesting philosophical questions arise from the sorts of theories discussed.

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Footnotes

†

This paper has its genesis in a remark made by Chris Isham following Harvey Brown's fascinating talk at the Sigma Club philosophy of physics conference held at Cambridge University in May, 1995. I would like to thank Chris for the idea and for enjoyable discussion thereof. Thanks also to Arthur Fine, Luis Garay, Bill Harper, David Malament, Bob Wald, and to the audience at my talk at the University of Western Ontario for helpful comments and questions.

‡

Department of Philosophy, Northwestern University, 1818 Hinmen Avenue, Evanston, IL 60208-1315.

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