Interacting New Agegraphic Dark Energy in a Cyclic Universe

TL;DR

This paper investigates the role of interacting new agegraphic dark energy (NADE) in modeling cyclic universes, demonstrating that only NADE can produce the necessary phantom phase in high energy regimes, consistent with cyclic universe dynamics.

Contribution

It introduces an interacting NADE model within a cyclic universe framework, showing its capability to generate the phantom phase and satisfy thermodynamic laws under loop quantum gravity corrections.

Findings

NADE can describe the phantom phase in high energy regimes.

Interacting NADE models produce cyclic universe behavior.

Generalized second law of thermodynamics can be satisfied with loop quantum corrections.

Abstract

The main goal of this work is investigation of NADE in the cyclic universe scenario. Since, cyclic universe is explained by a phantom phase ($\omega<-1$), it is shown when there is no interaction between matter and dark energy, ADE and NADE do not produce a phantom phase, then can not describe cyclic universe. Therefore, we study interacting models of ADE and NADE in the modified Friedmann equation. We find out that, in the high energy regime, which it is a necessary part of cyclic universe evolution, only NADE can describe this phantom phase era for cyclic universe. Considering deceleration parameter tells us that the universe has a deceleration phase after an acceleration phase, and NADE is able to produce a cyclic universe. Also it is found valuable to study generalized second law of thermodynamics. Since the loop quantum correction is taken account in high energy regime, it may not be suitable to use standard treatment of thermodynamics, so we turn our attention to the result of \citep{29}, which the authors have studied thermodynamics in loop quantum gravity, and we show that which condition can satisfy generalized second law of thermodynamics.