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We investigate the quintessence scalar field model modified by the Generalized Uncertainty Principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Alex Giacomini , Genly Leon , Andronikos Paliathanasis , Supriya Pan

We discuss phenomenology of extra time dimensions in a scenario where the standard model particles are localized in ``our'' time, whereas gravity can propagate in all time dimensions. For an odd number of extra times, at small distances,…

High Energy Physics - Phenomenology · Physics 2016-11-23 Gia Dvali , Gregory Gabadadze , Goran Senjanovic

A concise description is presented of the basic features of the formalism of non-canonical spacetime volume-forms and its application in modified gravity theories and cosmology. The well known unimodular gravity theory appears as a very…

General Relativity and Quantum Cosmology · Physics 2021-01-08 David Benisty , Eduardo I. Guendelman , Alexander Kaganovich , Emil Nissimov , Sventlana Pacheva

It is argued that the so-called holographic principle will obstruct attempts to produce physically realistic models for the unification of general relativity with quantum mechanics, unless determinism in the latter is restored. The notion…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gerard 't Hooft

Some thermodynamical properties of Lovelock gravity are discussed in several space-time dimensions, the holographic principle being one of the ingredients of the discussion. As it turns out, the area law and the brickwall method, though…

High Energy Physics - Theory · Physics 2009-11-07 Elcio Abdalla , L. Alejandro Correa-Borbonet

Is it possible to induce an effective generalized uncertainty principle (GUP) emerging from geometry and reinterpret the gravitational GUP as the effective uncertainty relation induced by microscopic horizon geometry? More broadly, is it…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Jaume Gine

In this paper, a modified formulation of generalized probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend…

General Physics · Physics 2022-09-19 Raed M. Shaiia

Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ronald J. Adler , David I. Santiago

This paper studies the uncertainty principle for spherical $h$-harmonic expansions on the unit sphere of $\mathbb{R}^d$ associated with a weight function invariant under a general finite reflection group, which is in full analogy with the…

Classical Analysis and ODEs · Mathematics 2015-11-18 Han Feng

The possibility that spacetime is extended beyond the familiar 3+1-dimensions has intrigued physicists for a century. Indeed, the consequences of a dimensionally richer spacetime would be profound. Recently, new theories with higher…

High Energy Physics - Phenomenology · Physics 2008-11-26 JoAnne Hewett , Maria Spiropulu

A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Ashmita Das , Saurya Das , Elias C. Vagenas

Heisenberg's uncertainty relation is commonly regarded as defining a level of unpredictability that is fundamentally incompatible with the deterministic laws embodied in classical field theories such as Einstein's general relativity. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Paul S. Wesson

According to the holographic principle, the description of a volume of space can be thought of as encoded on its boundary. Holographic principle establishes equivalence, or duality, between theoretical description of volume physics, which…

Optics · Physics 2015-06-18 Igor I. Smolyaninov

The existence of a fundamental length scale in Nature is a common prediction of distinct quantum gravity models. Discovery of such would profoundly change current knowledge of quantum phenomena and modifications to the Heisenberg…

Quantum Physics · Physics 2023-02-03 Andre H. Gomes

We outline a new model in which generalised uncertainty relations are obtained without modified commutation relations. While existing models introduce modified phase space volumes for the canonical degrees of freedom, we introduce new…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Matthew J. Lake

In this paper, we explore the quantum spacetimes that are potentially connected with the generalized uncertainty principles. By analyzing the gravity-induced quantum interference pattern and the Gedanken for weighting photon, we find that…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Xiang Li , Yi Ling , You-Gen Shen , Cheng-Zhou Liu , Hong-Sheng He , Lan-Fang Xu

Based on quantum mechanical framework for the minimal length uncertainty, we demonstrate that the generalized uncertainty principle (GUP) parameter could be best constrained by recent gravitational waves observations on one hand. On other…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Abdel Magied Diab , Abdel Nasser Tawfik

We study the dynamical consequences of Maggiore's unique generalised uncertainty principle (GUP). We find that it leads naturally, and generically, to novel consequences. In the high temperature limit, there is a drastic reduction in the…

High Energy Physics - Theory · Physics 2009-11-07 S. Kalyana Rama

This is a brief review of modified gravity cosmologies. Generically extensions of gravity action involve higher derivative terms, which can result in ghosts and instabilities. There are three ways to circumvent this: Chern-Simons terms,…

General Relativity and Quantum Cosmology · Physics 2010-02-24 Tomi S. Koivisto

After a short introduction to the generalized uncertainty principle (GUP), we review some of the physical predictions of the GUP, and we focus in particular on the bounds that present experimental tests can put on the value of the…

High Energy Physics - Theory · Physics 2020-01-08 Fabio Scardigli
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