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Generalization of the Planck radiation law and application to the cosmic microwave background radiation

Constantino Tsallis

F. C. Sá Barreto

Edwin D. Loh

  • Centro Brasileiro de Pesquisas Físicas, 150 Rua Xavier Sigaud, 22290-180, Rio de Janeiro, RJ, Brazil
  • Department of Physics Astronomy, Michigan State University, East Lansing, Michigan 48824-1116

  • Departamento de Física, Universidade Federal de Minas Gerais, Caixa Postal 702, 31270-970, Belo Horizonte, MG, Brazil

  • Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1116

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Phys. Rev. E 52, 1447 – Published 1 August, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.1447

Abstract

Within the framework of the recently introduced nonextensive statistical mechanics, we generalize the Planck law for the blackbody radiation. The generalized thermal spectrum contains an additional parameter q, for which q=1 in the Planck limit. For the cosmic microwave background radiation, we find a 95% confidence limit of ‖q-1‖<3.6×10−5 from the data of Mather et al. [Astrophys. J. 420, 439 (1994)] that were obtained with the Cosmic Background Explorer satellite, under the assumption that the internal reference of the apparatus has a Planck spectrum.

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Phys. Rev. E 52, 1447– Published 1 August, 1995
  • Received 3 April 1995

© 1995 American Physical Society

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