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In this work, we show that it is possible to define a classical system associated with a Generalized Uncertainty Principle (GUP) theory via the implementation of a consistent symplectic structure. This provides a solid framework for the…

Mathematical Physics · Physics 2025-04-02 Matteo Bruno , Sebastiano Segreto , Giovanni Montani

The Heisenberg uncertainty principle is known to be connected to the entropic uncertainty principle. This correspondence is obtained employing a Gaussian probability distribution for wave functions associated to the Shannon entropy.…

Quantum Physics · Physics 2023-01-02 Nana Cabo Bizet , Octavio Obregón , Wilfredo Yupanqui

The gravitational baryogenesis plays an important role in the study of the baryon asymmetry. However, the original mechanism of gravitational baryogenesis in the radiation dominated era leads to the asymmetry factor $\eta$ is equal to zero,…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Zhong-Wen Feng , Xia Zhou , Shi-Qi Zhou

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg Uncertainty Principle near the Plank scale, known as the Generalized Uncertainty Principle (GUP). Here we…

High Energy Physics - Theory · Physics 2014-11-04 Fatemeh Ahmadi , Jafar Khodagholizadeh

This paper links the advanced formulation of the Generalized Uncertainty Principle, termed the Asymptotic Generalized Extended Uncertainty Principle (AGEUP), to the corpuscular framework to derive the AGEUP-inspired black hole metric. The…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Reggie C. Pantig , Gaetano Lambiase , Ali Övgün , Nikko John Leo S. Lobos

The existence of a minimum observable length and/or a maximum observable momentum is in agreement with various candidates of quantum gravity such as string theory, loop quantum gravity, doubly special relativity and black hole physics. In…

High Energy Physics - Theory · Physics 2011-03-28 Pouria Pedram , Kourosh Nozari , S. H. Taheri

Various approaches to quantum gravity suggest that the fundamental volume of the phase space of the given space for representative points, means !0, should be modified. In this paper, we study the effects of this modification on the…

General Physics · Physics 2013-10-17 Homa Shababi

In this paper, we have used the extended generalized uncertainty principle to investigate the thermodynamics of the Bardeen Black Hole with quintessence matter on the EGUP framework. We started with a brief perusal of the Extended…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Shurui Wu , Bing-Qian Wang , Hao Chen , Zheng-Wen Long

It has recently been shown that the thermodynamics of a FRW universe can be fully derived using the generalized uncertainty principle (GUP) in extra dimensions as a primary input. There is a phenomenologically close relation between the GUP…

General Relativity and Quantum Cosmology · Physics 2011-02-28 A. S. Sefiedgar , K. Nozari , H. R. Sepangi

We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Daniel Berkowitz

The Friedmann-Robertson-Walker (FRW) universe and Bianchi I,II universes are investigated in the framework of the generalized uncertainty principle (GUP) with a linear and a quadratic term in Planck length and momentum, which predicts…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Ahmed Farag Ali , Barun Majumder

In the standard hot big bang model, the expansion of the early universe is given by the Friedmann equation with an energy density dominated by relativistic particles. Since in a variety of models this equation is altered, we introduce…

Astrophysics · Physics 2016-08-16 Eduard Massó , Francesc Rota

The acceleration of the universe can be explained either through dark energy or through the modification of gravity on large scales. In this paper we investigate modified gravity models and compare their observable predictions with dark…

Astrophysics · Physics 2008-11-26 Edmund Bertschinger , Phillip Zukin

In `entropic cosmology', instead of a cosmological constant $\Lambda$, an extra driving term is added to the Friedmann equation and the acceleration equation, taking into account the entropy and the temperature on the horizon of the…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-14 Nobuyoshi Komatsu , Shigeo Kimura

In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs of modified operators with the same modified commutator,…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Michael Bishop , Joey Contreras , Douglas Singleton

We analyze the extension of the GUP theory deriving from the modified uncertainty principle in agreement with the string low energy limit, which represents one of the most general formulations satisfying the Jacobi identity, in the context…

Quantum Physics · Physics 2023-05-18 Sebastiano Segreto , Giovanni Montani

We demonstrate that introducing a deformed algebra with a minimum length modifies the field equations for an inhomogeneous spacetime, resulting in the emergence of acceleration. Specifically, we examine the analytic effects of the…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Andronikos Paliathanasis

We consider a generalized uncertainty principle (GUP) corresponding to a deformation of the fundamental commutator obtained by adding a term quadratic in the momentum. From this GUP, we compute corrections to the Unruh effect and related…

High Energy Physics - Theory · Physics 2018-09-26 Fabio Scardigli , Massimo Blasone , Gaetano Luciano , Roberto Casadio

Using the fluid representation, we formulate the conditions for the appearance of all four types finite-time future singularity in modified gravity in accelerating FRW universe. It stressed that number of standard quintessence/phantom DE…

High Energy Physics - Theory · Physics 2014-11-20 Shin'ichi Nojiri , Sergei D. Odintsov

We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein-Hawking one. The former is a one-parameter…

General Relativity and Quantum Cosmology · Physics 2021-12-07 Andreas Lymperis , Spyros Basilakos , Emmanuel N. Saridakis