Wallace, David (2021) Isolated Systems and their Symmetries, Part I: General Framework and Particle-Mechanics Examples. [Preprint]
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Abstract
Physical theories, for the most part, should be understood as modelling isolated subsystems of a larger Universe; doing so, among other benefits, greatly clarifies the interpretation of the dynamical symmetries of those theories. I provide a detailed framework for analysing the subsystem structure of physical theories and applying it to the interpretation of their symmetries: the core concept is subsystem-recursivity, whereby interpretative conclusions about a sector of a theory can be deduced from considering subsystems of other models of the same theory. I illustrate the framework by extensive examples from nonrelativistic particle mechanics, and in particular from Newtonian theories of gravity. A sequel to the paper will apply the framework to the local and global symmetries of classical field theory.
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| Item Type: | Preprint | ||||||
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| Additional Information: | Revised version; some typos, technical errors, and stylistic infelicities corrected. | ||||||
| Keywords: | Symmetry Newtonian gravity | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics General Issues > Models and Idealization Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Professor David Wallace | ||||||
| Date Deposited: | 24 Oct 2021 03:39 | ||||||
| Last Modified: | 24 Oct 2021 03:39 | ||||||
| Item ID: | 19728 | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics General Issues > Models and Idealization Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 2021 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/19728 |
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Isolated Systems and their Symmetries, Part I: General Framework and Particle-Mechanics Examples. (deposited 08 Nov 2019 02:13)
- Isolated Systems and their Symmetries, Part I: General Framework and Particle-Mechanics Examples. (deposited 24 Oct 2021 03:39) [Currently Displayed]
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