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There are several theoretical indications that the quantum gravity approaches may have predictions for a minimal measurable length, and a maximal observable momentum and throughout a generalization for Heisenberg uncertainty principle. The…

General Physics · Physics 2015-12-22 Abdel Nasser Tawfik , H. Magdy , A. Farag Ali

These notes represent a summary of the introductory part of a course on modified gravity delivered at several Spanish Universities (Granada, Valencia, and Valladolid), at the University of Wisconsin-Milwaukee (WI, USA), and at the…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Gonzalo J. Olmo

A possible discrepancy has been found between the results of a neutron interferometry experiment and Quantum Mechanics. This experiment suggests that the weak equivalence principle is violated at small length scales, which quantum mechanics…

High Energy Physics - Theory · Physics 2011-03-02 Ahmed Farag Ali

The Big Bang singularity in standard model cosmology suggests a program of study in 'early universe' quantum gravity phenomenology. Inflation is usually thought to undermine this program's prospects by means of a dynamical diluting…

History and Philosophy of Physics · Physics 2023-08-04 Mike D. Schneider

We compare two alternative representations of quantum mechanics: Polymer Quantum Mechanics (PQM), which presents features similar to Loop Quantum Gravity and Loop Quantum Cosmology, and the Generalized Uncertainty Principle (GUP)…

General Relativity and Quantum Cosmology · Physics 2023-05-01 Gabriele Barca , Eleonora Giovannetti , Giovanni Montani

In this work, a minisuperspace model for the projectable Ho\v{r}ava-Lifshitz (HL) gravity without the detailed balance condition is investigated. The Wheeler-deWitt equation is derived and its solutions are studied and discussed for some…

High Energy Physics - Theory · Physics 2013-05-29 Orfeu Bertolami , Carlos A. D. Zarro

Quantum gravity places important consistency conditions on low-energy effective field theory, such as the absence of global symmetries. These may have important consequences in the search for particle physics beyond the Standard Model. We…

High Energy Physics - Phenomenology · Physics 2022-03-16 Patrick Draper , Isabel Garcia Garcia , Matthew Reece

In quantum cosmology the closed universe can spontaneously nucleate out of the state with no classical space and time. For the universe filled with a vacuum of constant energy density the semiclassical tunneling nucleation probability can…

High Energy Physics - Theory · Physics 2016-09-06 A. V. Yurov , V. A. Yurov

We present a study of the vacuum transition probabilities taking into account quantum corrections. We first introduce a general method that expands previous works employing the Lorentzian formalism of the Wheeler-De Witt equation by…

General Relativity and Quantum Cosmology · Physics 2025-01-03 H. García-Compeán , J. Hernández-Aguilar , D. Mata-Pacheco , C. Ramírez

Quantum cosmology is studied within the framework of the minimal quantum gravity theory proposed by Ho\v{r}ava. For this purpose we choose the Kantowski-Sachs (KS) model and construct the corresponding Wheeler-DeWitt equation. We study the…

General Relativity and Quantum Cosmology · Physics 2013-05-31 O. Obregón , J. A. Preciado

Gamow's theory of the implications of quantum tunneling on the star burning has two cornerstones including quantum mechanics and equipartition theorem. It has vastly been proposed that both of these foundations are affected by the existence…

General Relativity and Quantum Cosmology · Physics 2022-09-21 H. Moradpour , A. H. Ziaie , N. Sadeghnezhad

Although there is general agreement that a removal of classical gravitational singularities is not only a crucial conceptual test of any approach to quantum gravity but also a prerequisite for any fundamental theory, the precise criteria…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

We extend the thermodynamic derivation of gravity in the Jacobson framework by generalizing the Clausius relation through a nontrivial entropy functional. We show that entropy deformations appear as modifications of the effective…

General Relativity and Quantum Cosmology · Physics 2026-04-14 H. R. Fazlollahi

Inspired by Lifshitz theory for quantum critical phenomena in condensed matter, Horava proposed a theory for quantum gravity with an anisotropic scaling in ultraviolet. In Horava-Lifshitz gravity (HLG), we have studied the impacts of six…

General Relativity and Quantum Cosmology · Physics 2017-06-06 A. Tawfik , E. Abou El Dahab

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking…

High Energy Physics - Theory · Physics 2017-06-14 Sven Köppel , Marco Knipfer , Maximiliano Isi , Jonas Mureika , Piero Nicolini

Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified…

General Physics · Physics 2015-11-04 Abdel Nasser Tawfik , Abdel Magied Diab

Ho\v{r}ava-Lifshitz gravity is a potentially UV complete theory with important implications for the very early universe. In particular, in the presence of spatial curvature it is possible to obtain a non-singular bouncing cosmology. The…

High Energy Physics - Theory · Physics 2015-05-14 Xian Gao , Yi Wang , Wei Xue , Robert Brandenberger

The Generalized Uncertainty Principle (GUP), motivated by current alternatives of quantum gravity, produces significant modifications to the Hawking radiation and the final stage of black hole evaporation. We show that incorporation of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kourosh Nozari , S. Hamid Mehdipour

We derive generalized geodesic equations in curved spacetime that include conservative forces, dissipative effects, and quantum-gravity-motivated minimal-length corrections. Conservative interactions are incorporated through external vector…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Gaurav Bhandari , S. D. Pathak , Harjit Ghotra , Maxim Yu Khlopov , Maxim A. Krasnov

Using techniques from loop quantum gravity, the standard theory of cosmological perturbations was recently generalized to encompass the Planck era. We now apply this framework to explore pre-inflationary dynamics. The framework enables us…

General Relativity and Quantum Cosmology · Physics 2015-03-12 Ivan Agullo , Abhay Ashtekar , William Nelson
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