Cosmological implications of the Gibbs ensemble in parametrized relativistic classical mechanics

Statistics – Computation

Scientific paper

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Classical Mechanics, Cosmology, Gibbs Free Energy, High Temperature Gases, Ideal Gas, Relativistic Theory, Computational Astrophysics, Hamiltonian Functions, Quantum Electrodynamics, Universe

Scientific paper

The free energy of an ideal gas in the ultrarelativistic (UR) regime of parameterized relativistic classical mechanics (PRCM) has been shown to be different from the free energy in relativistic classical mechanics (RCM). These differences do not become significant until very high temperatures are reached. Physical examples where the UR regime may be reached include the interior of stars, relativistic gas dynamics, and the first minute after the big bang. Here, it is shown that negligible differences are expected at realistic temperatures for relativistic gas dynamics and stellar models. The greatest differences between PRCM and RCM are manifested in the density parameter of cosmological models. Scale factors and the age of Friedmann universes are calculated.

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