Thermodynamical Interpretation of the Interacting Holographic Dark Energy Model in a non-flat Universe

TL;DR

This paper extends the thermodynamical interpretation of the holographic dark energy model to non-flat universes, linking interaction effects to thermal fluctuations and generalizing previous flat universe results.

Contribution

It provides a novel thermodynamical framework for interacting holographic dark energy in non-flat universes, including a relation between interaction and thermal fluctuations.

Findings

Thermodynamical interpretation involves stable thermal fluctuations.

Relation established between dark energy interaction and thermal fluctuation.

Results reduce to flat universe case when curvature parameter is zero.

Abstract

Motivated by the recent work of Wang, Lin, Pavon, and Abdalla [1], we generalize their work to the non-flat case. In particular, we provide a thermodynamical interpretation for the holographic dark energy model in a non-flat universe. For this case, the characteristic length is no more the radius of the event horizon (R_E) but the event horizon radius as measured from the sphere of the horizon (L). Furthermore, when interaction between the dark components of the holographic dark energy model in the non-flat universe is present its thermodynamical interpretation changes by a stable thermal fluctuation. A relation between the interaction term of the dark components and this thermal fluctuation is obtained. In the limiting case of a flat universe, i.e. k=0, all results given in [1] are obtained.