Symmetry and Equivalence

In Robert Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oxford University Press. pp. 318-339 (2013)
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Abstract

This paper is concerned with the relation between two notions: that of two solutions or models of a theory being related by a symmetry of the theory and that of solutions or models being physically equivalent. A number of authors have recently discussed this relation, some taking an optimistic view, on which there is a suitable concept of the symmetry of a theory relative to which these two notions coincide, others taking a pessimistic view, on which there is no such concept. The present paper arrives at a cautiously pessimistic conclusion.

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Gordon Belot
University of Michigan, Ann Arbor

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