Barrett, Thomas William and Manchak, JB (2024) What Do Privileged Coordinates Tell Us About Structure? [Preprint]
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Abstract
The aim of this paper is to examine the extent to which the 'privileged coordinates' of a physical theory provide a window into how much structure it posits. We first isolate a problem for this idea. We show that there are geometric spaces that admit the same privileged coordinates, but have different amounts of structure. We then compare this 'coordinate approach' to comparing amounts of structure to the familiar 'automorphism approach,' and we conclude with some brief remarks about implicit definability.
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| Item Type: | Preprint | |||||||||
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| Keywords: | coordinates, structure, symmetry | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Thomas Barrett | |||||||||
| Date Deposited: | 26 Jul 2024 13:34 | |||||||||
| Last Modified: | 26 Jul 2024 13:34 | |||||||||
| Item ID: | 23727 | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | July 2024 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/23727 |
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