Specific heat and entropy of tachyon Fermi gas

TL;DR

This paper investigates the thermodynamic properties of an ideal Fermi gas composed of tachyons, deriving a low-temperature expansion and revealing a linear temperature dependence of specific heat similar to electron gases.

Contribution

It provides the first derivation of thermodynamic functions for a tachyon Fermi gas, highlighting its unique linear specific heat behavior at low temperatures.

Findings

Tachyon Fermi gas exhibits linear specific heat dependence on temperature.

Thermodynamic functions are derived for low-temperature regimes.

Specific heat coincides with that of electron gas under certain energy definitions.

Abstract

We consider an ideal Fermi gas of tachyons and derive a low temperature expansion of its thermodynamical functions. The tachyonic specific heat is linear dependent on temperature $C_V=\epsilon_Fk_FT$ and formally coincides with the specific heat of electron gas if the tachyon Fermi energy is defined as $\epsilon_F=\sqrt{k_F-m^2}$.