The mathematical role of time and space-time in classical physics

Details The mathematical role of time and space-time in classical physics The mathematical role of time and space-time in classical physics

2001-02-27

arxiv.org/abs/gr-qc/0102107v2

Found.Phys.Lett. 14 (2001) 553-563

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 12 pages, no figures. This is a new version

Scientific paper

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

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