A Thermodynamic Approach to Holographic Dark Energy

Abstract

We propose a method to relate the holographic minimal information density to de Broglie's wavelength at a given universe temperature . To figure this out, we assume that the thermal length of massive and massless constituents represents the cutoff scale of the holographic principle. To perform our analysis, we suppose two plausible universe volumes, that is, the adiabatic and the horizon volumes, that is, ∝ 3 and ∝ −3 , respectively, assuming zero spatial curvature. With these choices in mind, we evaluate the thermal lengths for massive and massless particles and we thus find two cosmological models associated with late and early cosmological epochs. We demonstrate that both models depend upon a free term which enters the temperature parametrization in terms of the redshift . For the two treatments, we show evolving dark energy terms which can be compared with the CDM quintessence paradigm when the barotropic factor takes the formal values 0 = −(1/3)(2 + ) and 0 = −(1/3)(1 + 2 ), respectively, for late and early eras. From our analyses, we nominate the two models as viable alternatives to dark energy determined from thermodynamics in the field of the holographic principle.

Kantowski-Sachs Barrow Holographic Dark Energy Model in Saez-Ballester Theory of Gravitation

“…However, the HDE models with other IR cutoffs, e.g., particle horizon, event horizon, apparent horizon, etc. describe the accelerated phenomena of the evolution of the Universe and are in agreement with the observational data [21][22][23][24][25][26][27]. Sadri and Khurshudyan [28] have analyzed the HDE model with the Hubble horizon as an IR cutoff in the framework of the flat FRW model while taking into account the non-gravitational interaction between DM and HDE, which is able to explain the current accelerated expansion.…”

Holographic dark energy from nonadditive entropy: Cosmological perturbations and observational constraints

“…In this scheme, the vacuum energy from the ultraviolet quantum cutoff is related to the characteristic length of the universe, and all the physical degrees of freedom are described in terms of some quantities at the universe's boundary [27]. The resulting holographic dark energy (HDE) models can explain the current acceleration and are found to be in agreement with observations [28][29][30][31][32]. * rocco.dagostino@roma2.infn.it These scenarios provide also interesting cosmological features being able to successfully alleviate the fine-tuning and coincidence problems [33][34][35][36].…”

Revising the cosmological constant problem through a fluid different from the quintessence

“…In light of our investigation, we contemplated potential applications for quasi-quintessence and why this fluid can be considered as an effective representation of dark energy, in analogy to models of unified dark energy scenarios [13][14][15][16][17][18][19][20][21][22][23][24][25] To address these questions, we revisited Weinberg's no-go theorem within the context of the cosmological constant problem. We emphasized that solving this problem often necessitates careful finetuning of the Lagrangian, effectively shifting the problem rather than resolving it.…”