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Author (up) Rubio, C.A.; Asenjo, F.A.; Hojman, S.A. doi  openurl
  Title Quantum Cosmologies Under Geometrical Unification of Gravity and Dark Energy Type
  Year 2019 Publication Symmetry-Basel Abbreviated Journal Symmetry  
  Volume 11 Issue 7 Pages  
  Keywords  
  Abstract A Friedmann-Robertson-Walker Universe was studied with a dark energy component represented by a quintessence field. The Lagrangian for this system, hereafter called the Friedmann-Robertson-Walker-quintessence (FRWq) system, was presented. It was shown that the classical Lagrangian reproduces the usual two (second order) dynamical equations for the radius of the Universe and for the quintessence scalar field, as well as a (first order) constraint equation. Our approach naturally unified gravity and dark energy, as it was obtained that the Lagrangian and the equations of motion are those of a relativistic particle moving on a two-dimensional, conformally flat spacetime. The conformal metric factor was related to the dark energy scalar field potential. We proceeded to quantize the system in three different schemes. First, we assumed the Universe was a spinless particle (as it is common in literature), obtaining a quantum theory for a Universe described by the Klein-Gordon equation. Second, we pushed the quantization scheme further, assuming the Universe as a Dirac particle, and therefore constructing its corresponding Dirac and Majorana theories. With the different theories, we calculated the expected values for the scale factor of the Universe. They depend on the type of quantization scheme used. The differences between the Dirac and Majorana schemes are highlighted here. The implications of the different quantization procedures are discussed. Finally, the possible consequences for a multiverse theory of the Dirac and Majorana quantized Universe are briefly considered.  
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  ISSN 2073-8994 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000481979000025 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 1048  
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