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Quantization of the Universe as a Dirac Particle: Geometrical Unification of Gravitation, Dark Energy and Multiverses by Hojman, Sergio A.; Asenjo, Felipe A.; Rubio, Carlos A. is a scholarly article available to read on EtoBox.

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A Friedmann--Robertson--Walker Universe is 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, is presented. It is 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. It is noted that the quintessence field (dark energy) is related with the tlaplon field (appearing on dynamical theories of spacetime torsion). Our approach naturally unifies gravity and dark energy, as it is obtained that the Lagrangian and the equations of motion are those of a relativistic particle moving on a two dimensional conformally flat spacetime, whereas the conformal metric factor is related to the dark energy scalar field potential. We proceed to quantize the system in three different schemes. First, we assume the Universe as a spinless particle (as it is common in literature), obtaining a quantum theory for a Universe described by the Klein--Gordon equation. Second, we push the quantization scheme further assuming th

Author

Hojman, Sergio A.; Asenjo, Felipe A.; Rubio, Carlos A.

Published

2014

Language

EN