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Entropy of semiclassical states in chaotic cosmology

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Abstract

By evolving the state (density matrix) of the Mixmaster universe backward towards the singularity, it is shown that there must be a decrease of the entropy of the model. This result supports the idea that the arrow of time cannot point in the direction of contraction of the universe.

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References

  • Barrow, J. D. (1982).Physics Reports,85, 1.

    Google Scholar 

  • Belinskii, V. A., Khalatnikov, I. M., and Lifshitz, E. M. (1970).Advances in Physics,19, 525.

    Google Scholar 

  • Francisco, G., and Pilati, P. (1985).Physical Review D,31, 241.

    Google Scholar 

  • Furusawa, T. (1986).Progress in Theoretical Physics,75, 59;76, 67.

    Google Scholar 

  • Hawking, S. (1978).New Scientist,1978 (9 July), 46.

    Google Scholar 

  • Misner, C. (1969).Physical Review,186, 319.

    Google Scholar 

  • Ryan, M. (1972).Hamiltonian Cosmology, Springer-Verlag, Berlin.

    Google Scholar 

  • Ryan, M., and Shepley, L. (1975).Homogeneous Relativistic Cosmology, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Szüsz, P. (1968).Duke Mathematics Journal,35, 535.

    Google Scholar 

  • Thirring, W. (1983).Quantum Mechanics of Large Systems, Springer-Verlag, New York.

    Google Scholar 

  • Wehrl, A. (1978).Review of Modern Physics,50, 221.

    Google Scholar 

  • Young, L. S. (1982).Ergodic Theory and Dynamical Systems,2, 109.

    Google Scholar 

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Authors and Affiliations

  1. Instituto de Física Teórica, Universidade Estadual Paulista, 01405, São Paulo-S.P., Brazil

    G. Francisco

Authors
  1. G. Francisco
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Francisco, G. Entropy of semiclassical states in chaotic cosmology. Int J Theor Phys 28, 765–768 (1989). https://doi.org/10.1007/BF00669820

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  • DOI: https://doi.org/10.1007/BF00669820

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