Conformal Cyclic Evolution of the Universe: a Loop Quantum Gravity Perspective
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Conformal Cyclic Evolution of the Universe: a Loop Quantum Gravity Perspective Natarajan Shriethar1
· Chandramohan Rathinam2
Received: 24 May 2020 / Accepted: 2 November 2020 / Published online: 20 November 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The conformal cyclic cosmological evolution of the universe is discussed with the principles of loop quantum gravity. The application of quantum mechanical aspects enables connecting surface between two cyclic aeons. From existing models entropy of conformal evolution is found to be modified in the light of this discussion. Infinite volume problem in conformal cyclic cosmology model is resolved with these loop quantum gravitational solutions. Various bouncing scale factors are compared. Conformal cyclic cosmological evolution does have a connection with the loop quantum cosmological scenario with this idea bridged. This work briefs the possible initial and final stages of the universe from the CCC and LQG scenario. In the connecting point between two aeons, the existence of curvature duality is also obtained and presented. Keywords Loop quantum gravity · Conformal cyclic cosmology · White holes · Phantom energy · Late time universe · Earlier stages of the universe
1 Introduction There are plenty of models are proposed for the evolution of the universe [14]. Models such as Loop quantum cosmology, Brane world, Big bang and steady-state models etc., have various scopes. Among them the conformal cyclic cosmological model [24] is a leading competitor to explain the evolution of the universe. The model has possible answers for the various cosmological problems. Similarly, the loop quantum cosmological model [5] which adopts the loop quantum gravity formalism [26, 34] is also leading candidate to explain the origin and evolution of the universe. The conformal cosmological model explains the evolution of the universe as to be in a conformally continuing in manner. They are Natarajan Shriethar
[email protected] Chandramohan Rathinam [email protected] 1
Department of Energy Science, Alagappa University, Karaikudi, India
2
PG Department of Physics, Vidyaagiri College of Arts and Science, Puduvayal, India
3996
International Journal of Theoretical Physics (2020) 59:3995–4012
called as aeons. The model strongly suggests the current universe(aeon) is a conformal continuation of the previous aeon [22]. The loop quantum Gravity accesses the quantum space as discrete entities. The theory exhibits the discreteness in area and volume parameters [27]. It also suggests that the entire spacetime can be viewed as spin network topological spaces. Two aeons conformally connect together in the cyclic evolution. The connecting point between two aeons requires special attention by means of quatum gravitational and cosmological view points. The conformal cyclic evolution and phantom dominated final stages of the universe can be analysed by loop Quantum cosmological phenomenon [20]. Conformal evolution dominated by the Phantom
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