Theoretical equivalence in classical mechanics and its relationship to duality

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:44-54 (2017)
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Abstract

As a prolegomenon to understanding the sense in which dualities are theoretical equivalences, we investigate the intuitive `equivalence' of hyper-regular Lagrangian and Hamiltonian classical mechanics. We show that the symplectification of these theories provides a sense in which they are isomorphic, and mutually and canonically definable through an analog of `common definitional extension'.

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Nicholas Teh
University of Notre Dame

Citations of this work

How to count structure.Thomas William Barrett - 2022 - Noûs 56 (2):295-322.
What Theoretical Equivalence Could Not Be.Trevor Teitel - 2021 - Philosophical Studies 178 (12):4119-4149.
Equivalent and Inequivalent Formulations of Classical Mechanics.Thomas William Barrett - 2019 - British Journal for the Philosophy of Science 70 (4):1167-1199.
Definable categorical equivalence.Laurenz Hudetz - 2019 - Philosophy of Science 86 (1):47-75.

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References found in this work

What Scientific Theories Could Not Be.Hans Halvorson - 2012 - Philosophy of Science 79 (2):183-206.
The “Structure” of Physics.Jill North - 2009 - Journal of Philosophy 106 (2):57-88.
Morita Equivalence.Thomas William Barrett & Hans Halvorson - 2016 - Review of Symbolic Logic 9 (3):556-582.
Theoretical Realism and Theoretical Equivalence.Clark Glymour - 1970 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1970:275 - 288.

View all 7 references / Add more references