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The effect of modified dispersion relations on the thermodynamics of black-body radiation

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  • Nozari, Kourosh
  • Sefidgar, A.S.

Abstract

In the study of loop quantum gravity and of models based on noncommutative geometry, there has been strong interest in some candidate modifications of the energy-momentum dispersion relation. In this paper we consider the effects of modified dispersion relation (MDR) on the thermodynamics of black-body radiation. We find a generalized Planck distribution and then apply it to find generalized Stefan–Boltzmann and generalized Wien’s law. As a consequence, we study the effects of these modifications on the entropy and specific heat of black-body radiation. We investigate also the relation between our findings and the results of E-infinity theory by considering distribution and temperature of cosmic microwave background radiation.

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  • Nozari, Kourosh & Sefidgar, A.S., 2008. "The effect of modified dispersion relations on the thermodynamics of black-body radiation," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 339-347.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:339-347
    DOI: 10.1016/j.chaos.2006.11.035
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    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
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