In this study, we investigate the thermodynamics of a relativistic ideal within the context of κ-deformed space-time and Rainbow gravity background. To achieve this, we construct a modified partition function by considering a deformed Hamiltonian and incorporating corrections based on the time-invariant phase-space volume. We explore the implications of our model on the modified black body radiation spectrum and the modified Debye theory of specific heat in κ-deformed space-time and Rainbow gravity background.
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Parai et al. (2024) studied this question.
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