Theoretical equivalence in classical mechanics and its relationship to duality

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 (via Tulczyjew׳s Triple) provides a sense in...

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Bibliographic Details

Published in:	Studies in History and Philosophy of Modern Physics Vol. 59; pp. 44 - 54
Main Authors:	Teh, Nicholas J., Tsementzis, Dimitris
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.08.2017
Subjects:	Classical mechanics and symplectic geometry Common definitional extension Definability Legendre transformation Physical dualities in quantum field theory and string theory Theoretical equivalence Common definitional extension Theoretical equivalence Definability Physical dualities in quantum field theory and string theory Classical mechanics and symplectic geometry Legendre transformation
ISSN:	1355-2198, 1879-2502
Online Access:	Get full text
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