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Most of the approaches to the construction of a theory of quantum gravity share some principles which do not have specific experimental support up to date. Two of these principles are relevant for our discussion: (i) the gravitational field…

General Relativity and Quantum Cosmology · Physics 2015-02-18 Raúl Carballo-Rubio , Carlos Barceló , Luis J. Garay

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the…

High Energy Physics - Theory · Physics 2012-01-16 Pouria Pedram

Attempts to formulate a quantum theory of gravitation are collectively known as {\it quantum gravity}. Various approaches to quantum gravity such as string theory and loop quantum gravity, as well as black hole physics and doubly special…

High Energy Physics - Theory · Physics 2011-12-25 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

Various approaches to Quantum Gravity (such as String Theory and Doubly Special Relativity), as well as black hole physics predict a minimum measurable length, or a maximum observable momentum, and related modifications of the Heisenberg…

High Energy Physics - Theory · Physics 2009-07-29 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

The new uncertainty relation is derived in the context of the canonical quantum theory with gravity for the case of the maximally symmetric space. This relation establishes a connection between fluctuations of the quantities which determine…

General Relativity and Quantum Cosmology · Physics 2019-11-05 V. E. Kuzmichev , V. V. Kuzmichev

The search for a quantum theory of gravity has been one of the main aims of theoretical physics for many years by now. However the efforts in this direction have been often hampered by the lack of experimental/observational tests able to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Liberati

In this paper, we invoke a generalized uncertainty principle (GUP) in the symmetry-reduced cosmological Hamiltonian for a universe driven by a quintessence scalar field with potential. Our study focuses on semi-classical regime. In…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

Consider a proposed model of the universe with $\hbar$ much greater than its well-known value of $10^{-34} Js$. In this model universe, very large objects can show quantum behaviors. In a scenario with large extra dimensions, $\hbar$ can…

High Energy Physics - Theory · Physics 2015-06-26 Kourosh Nozari , Behnaz Fazlpour

The most important problem of fundamental Physics is the quantization of the gravitational field. A main difficulty is the lack of available experimental tests that discriminate among the theories proposed to quantize gravity. Recently,…

High Energy Physics - Theory · Physics 2009-11-10 Jorge Alfaro

In a recent paper, we presented a nonperturbative higher order generalized uncertainty principle (GUP) that is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and…

High Energy Physics - Theory · Physics 2012-11-26 Pouria Pedram

A recent study established a correspondence between the Generalized Uncertainty Principle (GUP) and Modified theories of gravity, particularly Stelle gravity. We investigate the consequences of this correspondence for inflation and…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Saurya Das , S. Shankaranarayanan , Vasil Todorinov

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

We propose the generalized uncertainty principle (GUP) with an additional term of quadratic momentum motivated by string theory and black hole physics as a quantum mechanical framework for the minimal length uncertainty at the Planck scale.…

General Physics · Physics 2022-10-25 Abdel Magied Diab , Abdel Nasser Tawfik

Recently, the authors presented a covariant extension of the Generalized Uncertainty Principle (GUP) with a Lorentz invariant minimum length. This opens the way for constructing and exploring the observable consequences of minimum length in…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Pasquale Bosso , Saurya Das , Vasil Todorinov

Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of…

High Energy Physics - Theory · Physics 2014-12-31 Mohammed M. Khalil

At present the gravitational waves detectors achieve the sensitivity to detect the length variation ($\delta L$), $\mathcal{O} \approx 10^{-17}-10^{-21}$ meter. Recently a more stringent upperbound on the dimensionless parameter $\beta_0$,…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Sukanta Bhattacharyya , Sunandan Gangopadhyay , Anirban Saha

The Generalized Uncertainty Principle (GUP), which has been predicted by various theories of quantum gravity near the Planck scale is implemented on deriving the thermodynamics of ideal Quark-Gluon Plasma (QGP) consisting of two massless…

High Energy Physics - Phenomenology · Physics 2014-10-24 I. Elmashad , A. Farag Ali , L. I. Abou-Salem , Jameel-Un Nabi , A. Tawfik

The prediction of a minimal length scale by various quantum gravity candidates (such as string/M theory, Doubly Special Relativity, Loop Quantum Gravity and others) have suggested modification of Heisenberg Uncertainty Principle (HUP),…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

We explore the modification of the entropic formulation of uncertainty principle in quantum mechanics which measures the incompatibility of measurements in terms of Shannon entropy. The deformation in question is the type so called…

High Energy Physics - Theory · Physics 2017-08-28 Li-Yi Hsu , Shoichi Kawamoto , Wen-Yu Wen

We present a higher order generalized (gravitational) uncertainty principle (GUP) in the form $[X,P]=i\hbar/(1-\beta P^2)$. This form of GUP is consistent with various proposals of quantum gravity such as string theory, loop quantum…

High Energy Physics - Theory · Physics 2015-03-19 Pouria Pedram