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Stefan-Boltzmann Law for Massive Photons

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Abstract

This paper generalizes the Stefan-Boltzmann law to include massive photons. A crucial ingredient to obtain the correct formula for the radiance is to realize that a massive photon does not travel at the speed of (massless) light. It follows that, contrary to what could be expected, the radiance is not proportional to the energy density times the speed of light.

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Acknowledgments

This work was partially supported by the “Coordenação de Aperfeiçoamento de Pessoal de Nível Superior” (CAPES) and the “Fundação de Amparo à Pesquisa do Estado de Minas Gerais” (FAPEMIG).

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Authors and Affiliations

  1. Instituto de Matemática e Computação, Universidade Federal de Itajubá, Itajubá, Minas Gerais, 37500-903, Brazil

    E. S. Moreira Jr.

  2. Instituto de Ciências Exatas, Universidade Federal de Juiz de Fora, Juiz de Fora, Minas Gerais, 36036-900, Brazil

    T. G. Ribeiro

Authors
  1. E. S. Moreira Jr.
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  2. T. G. Ribeiro
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Correspondence to E. S. Moreira Jr..

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Moreira, E.S., Ribeiro, T.G. Stefan-Boltzmann Law for Massive Photons. Braz J Phys 46, 434–436 (2016). https://doi.org/10.1007/s13538-016-0416-5

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  • DOI: https://doi.org/10.1007/s13538-016-0416-5

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