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

Por • 29 mar, 2020 • Sección: Opinion

Newton C. A. da Costa, Adonai S. Sant’Anna

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.

arXiv:gr-qc/0102107v2

General Relativity and Quantum Cosmology (gr-qc)

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