Special Relativity Temperature Transformation for a Monatomic Ideal Gas

2025 · doi:10.32388/c20dpq
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Abstract

A temperature transformation is derived within the scope of special relativity by examining motion in two translating inertial reference frames. The transformation is based on the four-momentum. A translating monatomic ideal gas is assumed, and the energy component of the momentum four-vector is based on an assumed Maxwell-Boltzmann distribution for the energy. The desired transformation is a complex result that depends on the temperature and momentum of the gas and the relative velocity of the inertial reference frames. In addition, the temperature transformation admits the possibility of negative temperatures.
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License: CC-BY-4.0