TL;DR
This paper derives the equations of state for a Fermi gas within modified gravity frameworks, showing that microphysics must adapt to the underlying gravitational theory to accurately describe systems at equilibrium.
Contribution
It introduces a method to derive Fermi gas equations of state considering modified gravity, highlighting the dependence of microphysics on gravitational theories.
Findings
Equations of state depend on the gravity model used.
Microphysics must be adapted for consistency in modified gravity.
Relativistic and non-relativistic cases are both analyzed.
Abstract
We derive the equations of state of Fermi gas by maximizing the Fermi-Dirac entropy in modified gravity in relativistic and non-relativistic case. It will be demonstrated that the microphysics must depend on a given theory of gravity in order to consistently describe a physical system at a statistical equilibrium state.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Quantum Electrodynamics and Casimir Effect