Anisotropic universe and thermodynamical illustration of the interacting generalized ghost dark energy

We describe the thermodynamical interpretation of the interaction between ghost and general ghost dark energy (GDE) and dark matter in a non-isotropic universe. At first, the presence or absence of interaction between GDE and dark matter in both flat and non-isotropic geometry is discussed. Then, this investigation was extended to the non-interaction and interacting general ghost dark energy in a non-isotropic universe. Additionally, the probable relationship between the thermal fluctuations of the system and the assumed mutual interaction is investigated. Finally, we show that if one wants to solve the coincidence problem by using this mutual interaction, then the coupling constants of the interaction will be constrained. We extend our procedure to the first law of thermodynamics at the apparent horizon of a Bianchi type I universe, and assuming that the associated entropy with apparent horizon has a quantum corrected relation. Our study shows that, with the local equilibrium assumption, the generalized second law of thermodynamics is fulfilled in a region enclosed by the apparent horizon.