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A Categorical Perspective on Symmetry and Equivalence

Dewar, Neil and Eva, Benjamin (2017) A Categorical Perspective on Symmetry and Equivalence. [Preprint]

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Abstract

In recent years, a number of authors have employed the resources of category theory to shed new light on the notion of ‘theoretical equivalence’. Here, we connect this work to the debate concerning the interpretational
significance of symmetries in physics. Specifically, we put forward a novel criterion to be satisfied by any prospective ‘category of models’ of a scientific
theory. This criterion is motivated primarily by the idea that the semantic representation of a theory should not include any redundant structure, and that redundant structure can be identified by representing the symmetries of a theory by auto-equivalences on the category of models of that theory.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Dewar, Neilneil.dewar@lrz.uni-muenchen.de
Eva, Benjaminbenedgareva@icloud.com
Keywords: Philosophy of Physics, Category Theory, Symmetries
Subjects: General Issues > Structure of Theories
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr Benjamin Eva
Date Deposited: 06 Sep 2017 18:59
Last Modified: 06 Sep 2017 18:59
Item ID: 13401
Subjects: General Issues > Structure of Theories
Specific Sciences > Physics > Symmetries/Invariances
Date: 6 September 2017
URI: http://philsci-archive.pitt.edu/id/eprint/13401

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