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

Newton C. A. da Costa·Adonai S. Sant'Anna
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Abstract

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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Newton C. A. da Costa, Adonai S. Sant'Anna. 2001-04-24. The mathematical role of time and space-time in classical physics. https://arxiv.org/abs/gr-qc/0102107

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