Time is dispensable in thermodynamics

Details Time is dispensable in thermodynamics Time is dispensable in thermodynamics

2001-04-23

arxiv.org/abs/math-ph/0104032v1

Physics

Mathematical Physics

LaTeX, 11 pages, no figures. This is a preliminary version before we submit it for publication in a journal

Scientific paper

We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to show that time is dispensable in continuum thermodynamics, according to the axiomatic formulation of Gurtin and Williams. We also show how to define time by means of the remaining primitive concepts of Gurtin and Williams system. Finally, we introduce thermodynamics without any explicit reference to time and briefly discuss some physical and philosophical consequences of our main results.

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