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Quantum Hamilton-Jacobi Cosmology and Classical-Quantum Correlation

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Abstract

How the time evolution which is typical for classical cosmology emerges from quantum cosmology? The answer is not trivial because the Wheeler-DeWitt equation is time independent. A framework associating the quantum Hamilton-Jacobi to the minisuperspace cosmological models has been introduced in Fathi et al. (Eur. Phys. J. C 76, 527 2016). In this paper we show that time dependence and quantum-classical correspondence both arise naturally in the quantum Hamilton-Jacobi formalism of quantum mechanics, applied to quantum cosmology. We study the quantum Hamilton-Jacobi cosmology of spatially flat homogeneous and isotropic early universe whose matter content is a perfect fluid. The classical cosmology emerge around one Planck time where its linear size is around a few millimeter, without needing any classical inflationary phase afterwards to make it grow to its present size.

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Authors and Affiliations

  1. Department of Physics, Shahid Beheshti University, G. C. Evin, Tehran, 19839, Iran

    M. Fathi & S. Jalalzadeh

  2. Federal University of Latin-American Integration, Itaipu Technological Park, PO box 2123, Foz do Iguaç-PR, 85867-670, Brazil

    S. Jalalzadeh

Authors
  1. M. Fathi
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  2. S. Jalalzadeh
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Correspondence to S. Jalalzadeh.

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Fathi, M., Jalalzadeh, S. Quantum Hamilton-Jacobi Cosmology and Classical-Quantum Correlation. Int J Theor Phys 56, 2167–2177 (2017). https://doi.org/10.1007/s10773-017-3363-1

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  • DOI: https://doi.org/10.1007/s10773-017-3363-1

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