A viable approach towards Quantum Gravity is the Doubly Special Relativity (DSR) framework in which an observer-independent finite energy upper bound (or a finite smallest length scale) appears quite naturally. In this work, we have studied the thermodynamic properties of an ideal gas in a specific DSR framework, known as the Magueijo-Smolin (MS) Model. We use the fact that DSR can be considered as nonlinear representation of Lorentz Group. Subsequently, various thermodynamic parameters of ideal gas have been derived in this modified framework to compare the corresponding deviations from the usual scenario due to the presence of the invariant energy (length) scale.

中文翻译：

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具有不变能量尺度的理想气体热力学


实现量子引力的一种可行方法是双狭义相对论（DSR）框架，其中独立于观察者的有限能量上限（或有限的最小长度尺度）非常自然地出现。在这项工作中，我们研究了特定 DSR 框架（称为 Magueijo-Smolin (MS) 模型）中理想气体的热力学性质。我们利用 DSR 可以被视为洛伦兹群的非线性表示这一事实。随后，在这个修改后的框架中导出了理想气体的各种热力学参数，以比较由于不变能量（长度）尺度的存在而与通常情况相对应的偏差。