Thermodynamics on the horizon of a flat universe at late times is studied in holographic cosmological models that assume an associated entropy on the horizon.

In such models, Lambda cold dark matter (LCDM) is widely favored because of the consistency of energy flows across the horizon. Among all, it is considered as the simplest model that can provide elegant explanations of the properties of the Universe, e.g., the accelerated expansion of the late Universe and structural formations.Â

However, the LCDM model suffers from several theoretical difficulties, such as the cosmological constant problem.

To address such difficulties, Kanazawa University’s Nobuyoshi Komatsu has proposed alternative thermodynamic scenarios that extend the concept of black hole thermodynamics.

Nobuyoshi Komatsu said,Â *“Previous research implies that a certain type of universe will behave like a conventional macroscopic system. The expansion of the Universe is considered likely to be related to thermodynamics on its horizon, based on the holographic principle.”*

*“I considered a cosmological model with a power-law term, assuming application of the holographic equipartition law. The power-law term is proportional to HÎ±, where H is the Hubble parameter, and Î± is considered to be a free parameter (Î± may be related to the entanglement of the quantum fields close to the horizon).”*

*“I used the proposed model to study the thermodynamic properties on the horizon of the Universe, focusing on the evolutions of the Bekenstein-Hawking entropy. I found that the model satisfies the second law of thermodynamics on the horizon.”*

*“Also, I used the model to examine the relaxation-like processes that occur before the last stage of the evolution of the Universe and thus enable the study of the maximization of the entropy.”*

*“Figure 1 shows the boundaries for maximization of the entropy in the (Î±, Ïˆ) plane. Here, Ïˆ represents a type of density parameter for effective dark energy. The upper side of each boundary corresponds to the region that satisfies the conditions for the maximization of the entropy. For example, the point for the fine-tuned LCDM model is found to satisfy the conditions for the maximization of the entropy at present. Also, the region close to this point also satisfies the conditions for the maximization of the entropy, both at present and in the future. Cosmological models in this region are likely to be favored from a thermodynamics viewpoint.”*

Through this study, Associate Professor Komatsu hopes that the developed model will serve to enable discussion and analysis of the full range of currently available cosmological models from a thermodynamics perspective.

##### Journal Reference:

- Horizon thermodynamics in holographic cosmological models with a power-law term. DOI: 10.1103/PhysRevD.100.123545