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Cosmic Background Radiation

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Abstract

It is shown that a collection of photons with nearly the same frequency exhibits a “condensation” type of phenomenon corresponding to a peak intensity. The observed cosmic background radiation can be explained from this standpoint. We have obtained analogous results by extremization of the occupation number for photons with the use of the Lambert W function. Some of the interesting applications of this function are briefly discussed in the context of graphene which exhibits an interesting two dimensional structure with several characteristic properties and diverse practical applications.

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References

  1. Sidharth, B.G.: Chaos, Solitons and Fractals 11, 1471–1472 (2000)

    Article  ADS  MATH  Google Scholar 

  2. Huang, K.: Statistical Mechanics. Wiley Eastern, New Delhi (1975)

    Google Scholar 

  3. Valluri, S.R., Jeffrey, D.J., Corless, R.C.: Canadian J. Phys. (2000)

  4. Corless, R.M., Gonnet, G.H., Hare, D.E.G., Jeffrey, D.J., Knuth, D.E.: Adv. Comput. Math. 11, 329–359 (1996)

    Article  MathSciNet  Google Scholar 

  5. Valluri, S.R., Gil, M., Jeffrey, D.J., Shantanu, B.: J. Math. Phys. 50, 102103 (2009)

    Article  Google Scholar 

  6. Narlikar, J.V.: An Introduction to Cosmology. Cambridge University Press, Cambridge (2002)

    Google Scholar 

  7. Mather, J.C., et al.: Astrophysics J. Lett. 354, L37 (1990)

  8. Stokes, R.A., Partridge, R.B., Wilkinson, D.T.: Physical Rev. Lett. 19, 1199 (1967)

    Article  ADS  Google Scholar 

  9. Roll, P.G., Wilkinson, D.T.: Physical Rev. Lett. 16, L1 (1966)

    Article  Google Scholar 

  10. Ade, P.A.R., et al.: Planck 2013 Results. I. Astronomy & Astrophysics 571, 2014 (2014)

    Google Scholar 

  11. Ade, P.A.R., et al.: Planck 2013 Results. XII. Astronomy & Astrophysics 571, A12 (2014)

    Article  Google Scholar 

  12. Crowell, L.B., Corda, C.: Galaxies 2, 160–188 (2014)

    Article  ADS  Google Scholar 

  13. Corda, C.: Eur. Phys. J. C 65(1), 257–267 (2010)

    Article  ADS  Google Scholar 

  14. Ade, P.A.R., Amiri, M., Kovac, J.M., et al.: arXiv:1403.4302

  15. Marsh, D.J.E., Grin, D., Hlozek, R., Ferreira, P.G.: arXiv:1403.4216 (2014)

  16. Steinhardt, P.: Nature 510, 9 (2014). doi:10.1038/510009a

  17. Cowen, R.: Nature 510, 7503 (2014)

    Google Scholar 

  18. Ade, P.A.R., et al.: BICEP Collaboration. Physical Rev. Lett. 112, 241101 (2014)

  19. Hoyle, F., Burbidge, G., Narlikar, J.V.: A Different Approach to Cosmology: from the Static Universe through the Big Bang towards Reality. Cambridge University Press, Cambridge (2005)

    Google Scholar 

  20. Neto, A.H.C., Guinea, F., Peres, N.M.R., Novoselov, K.S., Geim, A.K.: Rev. Modern Phys. 81, 109 (2009)

    Article  ADS  Google Scholar 

  21. Sidharth, B.G.: Int. J. Phys. E 23, 1450025 (2014)

    Article  ADS  Google Scholar 

  22. Roberts, K., Valluri, S.R.: Solution of the quantum finite square well problem using the Lambert W function. arXiv:1403.6685[math-ph] (2014)

  23. Monroy, V.: Physica E 63, 134–138 (2014)

    Article  ADS  Google Scholar 

  24. Berman, O.L., Kezerashvili, R.Y., Lozovik, Y.E.: Nanotechnology 21, 134019 (2010)

    Article  ADS  Google Scholar 

  25. Molli, M., Venkataramaniah, K., Valluri, S.R.: Can. J. Phys. 89, 1171 (2011)

    Article  ADS  Google Scholar 

  26. Lewin, L.: Polylogarithms and Associated functions. Elsevier, North Holland (1981)

    MATH  Google Scholar 

Download references

Acknowledgments

We are indebted to Dr. John Drozd, Physics and Astronomy Department, UWO for assistance in numerical calculations. Part of the research of S.R. Valluri has been supported by the Natural Sciences Engineering Research Council Canada (NSERC). We thank the anonymous referee for an informative, critical and thorough review that has substantially improved the paper.

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Authors and Affiliations

  1. G.P. Birla Observatory and Astronomical Research Centre, B.M. Birla Science Centre, Adarsh Nagar, Hyderabad, 500 063, India

    B. G. Sidharth

  2. Department of Physics and Astronomy; Economics, Business and Math, King’s University College, University of Western Ontario, London, Ontario, N6A 3K7, Canada

    S. R. Valluri

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  1. B. G. Sidharth
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  2. S. R. Valluri
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Correspondence to B. G. Sidharth.

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Sidharth, B.G., Valluri, S.R. Cosmic Background Radiation. Int J Theor Phys 54, 2792–2797 (2015). https://doi.org/10.1007/s10773-015-2516-3

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  • DOI: https://doi.org/10.1007/s10773-015-2516-3

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