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Advances in High Energy Physics
Volume 2017 (2017), Article ID 1424503, 11 pages
Research Article

A Thermodynamic Approach to Holographic Dark Energy

Orlando Luongo1,2,3,4,5

1Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, Cape Town 7701, South Africa
2Astrophysics, Cosmology and Gravity Centre (ACGC), University of Cape Town, Rondebosch, Cape Town 7701, South Africa
3School of Science and Technology, University of Camerino, 62032 Camerino, Italy
4Dipartimento di Fisica, Università di Napoli “Federico II”, Via Cinthia, 80126 Napoli, Italy
5Istituto Nazionale di Fisica Nucleare (INFN), Sez. di Napoli, Via Cinthia 9, 80126 Napoli, Italy

Correspondence should be addressed to Orlando Luongo;

Received 31 December 2016; Revised 9 March 2017; Accepted 20 April 2017; Published 30 July 2017

Academic Editor: Burak Bilki

Copyright © 2017 Orlando Luongo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


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 cut-off 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, and , 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 and , 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.