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We apply the holographic principle in the cosmological context through the nonadditive Tsallis entropy, used to describe the thermodynamic properties of nonstandard statistical systems such as the gravitational ones. Assuming the future…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Rocco D'Agostino

Using the nonextensive Tsallis entropy and the holographic hypothesis, we propose a new dark energy (DE) model with time scale as infrared (IR) cutoff. Considering the age of the Universe as well as the conformal time as IR cutoffs, we…

General Physics · Physics 2019-04-01 M. Abdollahi Zadeh , A. Sheykhi , H. Moradpour

We investigate the Tsallis holographic dark energy (THDE) models in the context of perturbations' growth. We assume the description of dark energy by considering the holographic principle and the nonadditive entropy to carry out this. We…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-21 W. J. C. da Silva , R. Silva

In order to apply holography and entropy relations to the whole universe, which is a gravitational and thus nonextensive system, for consistency one should use the generalized definition for the universe horizon entropy, namely Tsallis…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Emmanuel N. Saridakis , Kazuharu Bamba , R. Myrzakulov , Fotios K. Anagnostopoulos

We investigate the cosmological implications of Tsallis entropy in two widely discussed frameworks: the Cai-Kim thermodynamic derivation of the Friedman equations and the Tsallis holographic dark energy (HDE) scenario, considering both the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-06 Pedro M. Ibarbo-Perlaza. , J. Bayron Orjuela-Quintana , Jose L. Palacios-Córdoba , César A. Valenzuela-Toledo

Tsallis entropy is a generalization of the Boltzmann-Gibbs entropy in statistical theory which uses a parameter $\delta$ to measure the deviation from the standard scenario quantitatively. Using concepts of Tsallis entropy and future event…

General Physics · Physics 2022-04-19 Bramha Dutta Pandey , Suresh Kumar P , Pankaj , Umesh Kumar Sharma

Using the Tsallis generalized entropy, holographic hypothesis and also considering the Hubble horizon as the IR cutoff, we build a holographic model for dark energy and study its cosmological consequences in the Brans-Dicke framework. At…

General Relativity and Quantum Cosmology · Physics 2018-09-05 S. Ghaffari , H. Moradpour , I. P. Lobo , J. P. Morais Graça , Valdir B. Bezerra

We present a general formalism for studying generalized Holographic Dark Energy (HDE) models in which we use a dimensionless form of the area-entropy of cosmological horizons. The future event horizon is applied though the formalism can…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-17 Ilim Cimdiker , Mariusz P. Dabrowski , Vincenzo Salzano

The proposed model is a study of the nature of dark energy through non-extensive Tsallis entropy. The method is based on the Karolyhazy relation which is a combined idea from quantum physics and general relativity. Dark energy is the energy…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Pankaj , Bramha Dutta Pandey , P. Suresh Kumar , Umesh Kumar Sharma

We investigate the cosmological implications of entropy-based approaches in the context of Holographic Dark Energy (HDE) and Gravity-Thermodynamics (GT) formalisms. We utilise the extended Barrow entropy form, with the index parameter…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-16 Udit K. Tyagi , Sandeep Haridasu , Soumen Basak

Using the generalized Tsallis entropy, the Tsallis holographic dark energy(THDE) was proposed recently. In this paper we analyze the cosmological consequences of the THDE model with an interaction between dark energy and dark matter…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Qihong Huang , He Huang , Jun Chen , Lu Zhang , Feiquan Tu

In this paper, we investigate a recent proposed model - so called the Tsallis holographic dark energy (THDE) model. In this case, we consider the non-gravitational and phenomenological interaction between dark sectors. We fit the free…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-22 Ehsan Sadri

The paper investigates the Tsallis holographic dark energy (THDE) model in accordance with the apparent horizon as an infrared cut-off, in a non-flat universe. The cosmological evolution of the deceleration parameter and equation of state…

General Physics · Physics 2020-01-16 Vipin Chandra Dubey , Umesh Kumar Sharma , A. Beesham

We construct modified cosmological scenarios through the application of the first law of thermodynamics in the universe horizon, but using the generalized, nonextensive Tsallis entropy instead of the usual Bekenstein-Hawking one. We result…

General Relativity and Quantum Cosmology · Physics 2018-12-07 Andreas Lymperis , Emmanuel N. Saridakis

Using Tsallis statistics and its relation with Boltzmann entropy, the Tsallis entropy content of black holes is achieved, a result in full agreement with a recent study (Phys. Lett. B 794, 24 (2019)). In addition, employing Kaniadakis…

General Relativity and Quantum Cosmology · Physics 2020-08-18 H. Moradpour , A. H. Ziaie , M. Kord Zangeneh

We investigated Tsallis holographic dark energy (THDE) model in light of modern observations of supernovae, Hubble parameter measurements, data for baryon acoustic oscillations and fluctuations of matter density. The dark energy density for…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-02 Artyom V. Astashenok , Alexander S. Tepliakov

Barrow and Tsallis Holographic Dark Energy (HDE) are two recently proposed extensions of the standard HDE framework, incorporating generalized corrections to horizon entropy through the use of Barrow and Tsallis entropies. Tsallis entropy…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Giuseppe Gaetano Luciano , Andronikos Paliathanasis , Emmanuel N. Saridakis

Here, we consider new nonadditive entropy of the apparent horizon $S_K=S_{BH}/(1+\gamma S_{BH})$ with $S_{BH}$ being the Bekenstein--Hawking entropy. This is an alternative of the R\'{e}nyi and Tsallis entropies, that allows us, by…

General Physics · Physics 2025-11-18 S. I. Kruglov

The application of holographic principle in very early time is studied. The consideration of the principle in the late-time evolution will be a good motivation to study its role at the time of inflation. Since the length scale is expected…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Abolhassan Mohammadi , Tayeb Golanbari , Kazuharu Bamba , Iarley P. Lobo

In the realm of thermodynamics of apparent horizon, we construct a dark energy (DE) model from 4-parameter generalized entropy of apparent horizon in a spatially non-flat universe. In particular, considering a non-zero spatial curvature of…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Sergei D. Odintsov , Simone D'Onofrio , Tanmoy Paul
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