Effect of non-commutativity of space-time on thermodynamics of photon gas

• Published in: General relativity and gravitation Vol. 51; no. 11; pp. 1 - 12
• Main Authors: Verma, Ravikant, Nandi, Partha
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2019; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Classical and Quantum Gravitation; Commutativity; Deformation; Differential Geometry; Dispersion; Gravity; Light speed; Mathematical and Computational Physics; Minkowski space; Order parameters; Photons; Physics; Physics and Astronomy; Quantum Physics; Relativity; Relativity Theory; Research Article; Spacetime; Statistical mechanics; Theoretical; Theory of relativity; Thermodynamics; Photon gas; Thermodynamics; Partition function; Noncommutative spacetime
• ISSN: 0001-7701; 1572-9532
• DOI: 10.1007/s10714-019-2630-2

Doubly special relativity introduce a minimal length scale i.e. the Planck length scale, which is independent length scale in addition to the speed of light in the normal special theory of relativity (STR). Doubly special relativity leads to study the κ -Minkowski space-time. In this paper, we present the result of our investigation on the thermodynamics of photon gas in the κ -Minkowski space-time. For studying this, we start with the κ -deformed dispersion relation and keep terms upto first order in the deformation parameter a and we study that how does κ -deformed dispersion relation affect the thermodynamics of photon gas. In the limit, deformation parameter a → 0 , we get back all the results in the special theory of relativity (STR) (Greiner and Stocker in Thermodynamics and statistical mechanics, Springer, New York, 1995).