Relativistic Thermodynamics with an Invariant Energy Scale
Sudipta Das (I.S.I., India), Subir Ghosh (I.S.I., India), Dibakar, Roychowdhury (N.B.U., India)
TL;DR
This paper explores how the introduction of an invariant energy scale in Doubly Special Relativity modifies the thermodynamics of an ideal fluid, leading to a new equation of state.
Contribution
It provides the first explicit derivation of a modified equation of state for an ideal fluid within the DSR framework, considering the invariant energy scale.
Findings
Derived a modified equation of state for an ideal fluid in DSR
Showed the impact of the invariant energy scale on relativistic thermodynamics
Utilized a non-linear Lorentz transformation scheme
Abstract
A particular framework for Quantum Gravity is the Doubly Special Relativity (DSR) formalism that introduces a new observer independent scale, the Planck energy. Our aim in this paper is to study the effects of this energy upper bound in relativistic thermodynamics. We have explicitly computed the modified equation of state for an ideal fluid in the DSR framework. In deriving our result we exploited the scheme of treating DSR as a non-linear representation of the Lorentz group in Special Relativity.
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