The mathematical role of time and spacetime in classical physics
Abstract
We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to discuss the mathematical role of time and spacetime in some classical physical theories. We show that time is eliminable in Newtonian mechanics and that spacetime is also dispensable in Hamiltonian mechanics, Maxwell's electromagnetic theory, the Dirac electron, classical gauge fields, and general relativity.
 Publication:

arXiv eprints
 Pub Date:
 February 2001
 arXiv:
 arXiv:grqc/0102107
 Bibcode:
 2001gr.qc.....2107D
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 LaTeX, 12 pages, no figures. This is a new version