时空非对易性对光子气体热力学的影响
Effect of Non-commutativity of space-time on Thermodynamics of Photon gas
摘要：
双狭义相对论（DSR）引入了一个最小长度尺度，即普朗克长度尺度，它是除了通常的狭义相对论（STR）中的光速之外的一个独立的长度尺度。双重狭义相对论导致了对$κ$ -Minkowski时空的研究。本文介绍了我们对$κ$ -Minkowski时空中光子气体热力学的研究结果。为了研究这一点，我们从$κ$ -变形色散关系入手，保留变形参数$a$中的一阶项，研究了$κ$ -变形色散关系对光子气体热力学的影响。在形变参量$a \rightarrow 0$的极限下，我们得到了狭义相对论\cite{partition}的全部结果。
英文摘要：
Doubly special relativity(DSR) 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 $a \rightarrow 0$, we get back all the results in the special theory of relativity(STR)\cite{partition}.
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