Varying constants quantum cosmology

Katarzyna Leszczyńska (Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland) ; Adam Balcerzak (Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland; Copernicus Center for Interdisciplinary Studies, Sławkowska 17, 31-016 Kraków, Poland) ; Mariusz P. Da̧browski (Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland; Copernicus Center for Interdisciplinary Studies, Sławkowska 17, 31-016 Kraków, Poland)

We discuss minisuperspace models within the framework of varying physical constants theories including Λ-term. In particular, we consider the varying speed of light (VSL) theory and varying gravitational constant theory (VG) using the specific ansätze for the variability of constants: c(a) = c0 an and G(a)=G0 aq. We find that most of the varying c and G minisuperspace potentials are of the tunneling type which allows to use WKB approximation of quantum mechanics. Using this method we show that the probability of tunneling of the universe ``from nothing'' (a=0) to a Friedmann geometry with the scale factor at is large for growing c models and is strongly suppressed for diminishing c models. As for G varying, the probability of tunneling is large for G diminishing, while it is small for G increasing. In general, both varying c and G change the probability of tunneling in comparison to the standard matter content (cosmological term, dust, radiation) universe models.

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      "source": "Institute of Physics Publishing/SISSA", 
      "value": "We discuss minisuperspace models within the framework of varying physical constants theories including \u00ce\u009b-term. In particular, we consider the varying speed of light (VSL) theory and varying gravitational constant theory (VG) using the specific ans\u00c3\u00a4tze for the variability of constants: c(a)\u00c2 =\u00c2 c0\u00c2 an and G(a)=G0\u00c2 aq. We find that most of the varying c and G minisuperspace potentials are of the tunneling type which allows to use WKB approximation of quantum mechanics. Using this method we show that the probability of tunneling of the universe ``from nothing'' (a=0) to a Friedmann geometry with the scale factor at is large for growing c models and is strongly suppressed for diminishing c models. As for G varying, the probability of tunneling is large for G diminishing, while it is small for G increasing. In general, both varying c and G change the probability of tunneling in comparison to the standard matter content (cosmological term, dust, radiation) universe models."
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Published on:
10 February 2015
Publisher:
Institute of Physics Publishing/SISSA
Published in:
Journal of Cosmology and Astroparticle Physics (2015)
Issue 02
DOI:
https://doi.org/10.1088/1475-7516/2015/02/012
arXiv:
1411.6094
Copyrights:
No information available
Licence:
CC-BY-3.0

Fulltext files: