Non-singular and Cyclic Universe from the Modified GUP

In this paper, we investigate the effects of a new version of the generalized uncertainty principle (modified GUP) on the dynamics of the Universe. As the modified GUP will modify the relation between the entropy and area of the apparent horizon, it will also deform the Friedmann equations within Ja...

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Bibliographic Details
Published in:arXiv.org 2017-02
Main Authors: Salah, Maha, Hammad, Fayçal, Mir Faizal, Ahmed Farag Ali
Format: Article
Language:English
Subjects:
Big bang cosmology
Deformation
Mathematical analysis
Universe
Upper bounds
Online Access:Get full text
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Summary:In this paper, we investigate the effects of a new version of the generalized uncertainty principle (modified GUP) on the dynamics of the Universe. As the modified GUP will modify the relation between the entropy and area of the apparent horizon, it will also deform the Friedmann equations within Jacobson's approach. We explicitly find these deformed Friedmann equations governing the modified GUP-corrected dynamics of such a Universe. It is shown that the modified GUP-deformed Jacobson's approach implies an upper bound for the density of such a Universe. The Big Bang singularity can therefore also be avoided using the modified GUP-corrections to horizons' thermodynamics. In fact, we are able to analyze the pre Big Bang state of the Universe. Furthermore, the equations imply that the expansion of the Universe will come to a halt and then will immediately be followed by a contracting phase. When the equations are extrapolated beyond the maximum rate of contraction, a cyclic Universe scenario emerges.
ISSN:2331-8422
DOI:10.48550/arxiv.1608.00560