Theoretical Equivalence in Classical Mechanics and its relationship to Duality

Publication Year:
2015
Usage 434
Downloads 434
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/11695
Author(s):
Teh, Nicholas; Tsementzis, Dimitris
preprint description
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 which they are (1) isomorphic, and (2) mutually and canonically definable through an analog of `common definitional extension'.