Growing Classical and Quantum Entropies in the Early Universe


DOI: 10.1007/s10773-009-0190-z

Cite this article as:
Ardenghi, J.S. & Castagnino, M.A. Int J Theor Phys (2010) 49: 171. doi:10.1007/s10773-009-0190-z


Following the idea that the global and local arrow of time has a cosmological origin, we define an entropy in the classical and in the quantum periods of the universe evolution. For the quantum period a semi-classical approach is adopted, modelling the universe with Wheeler-De Witt equation and using WKB. By applying the self-induced decoherence to the state of the universe it is proved that the quantum universe becomes a classical one. This allows us to define a conditional entropy which, in our simplified model, is proportional to e2γt where γ is the dumping factor associated with the interaction potential of the scalar fields. Finally we find both Gibbs and thermodynamical entropy of the universe based in the conditional entropy.

Entropy Quantum universe Decoherence 

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Institute of Astronomy and Physics of SpaceBuenos AiresArgentina
  2. 2.Institutes of Physics of Rosario and Astronomy and Physics of SpaceBuenos AiresArgentina

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