North, Jill (2009) The "Structure" of Physics: A Case Study. UNSPECIFIED.
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Abstract
We are used to talking about the “structure” posited by a given theory of physics, such as the spacetime structure of relativity. What is “structure”? What does the mathematical structure used to formulate a theory tell us about the physical world according to the theory? What if there are different mathematical formulations of a given theory? Do different formulations posit different structures, or are they merely notational variants? I consider the case of Lagrangian and Hamiltonian classical mechanics. I argue that, contrary to standard wisdom, these are not genuinely equivalent theories: they differ in statespace structure. I suggest that we should be realists about statespace structure.
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Item Type: | Other | ||||||
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Keywords: | Structure; classical mechanics; statespace; Lagrangian mechanics; Hamiltonian mechanics. | ||||||
Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Symmetries/Invariances Specific Sciences > Physics |
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Depositing User: | Jill North | ||||||
Date Deposited: | 20 Oct 2009 | ||||||
Last Modified: | 07 Oct 2010 15:18 | ||||||
Item ID: | 4961 | ||||||
Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Symmetries/Invariances Specific Sciences > Physics |
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Date: | 2009 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/4961 |
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