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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

In this short note we show how the Generalised Uncertainty Principle (GUP) and the Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty relations proposed in the quantum gravity literature, can be derived…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Matthew J. Lake , Marek Miller , Ray Ganardi , Tomasz Paterek

We consider quantum gravity corrections to the maximum entropic force that arise from several gravitational uncertainty principles. These include the Generalized Uncertainty Principle (GUP), the Extended Uncertainty Principle (EUP), the…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Jonas Mureika , Elias C. Vagenas

The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Giuseppe Gaetano Luciano

Modifications in quantum mechanical phase space lead to the changes in the Heisenberg uncertainty principle, which can result in the Generalized Uncertainty Principle (GUP) or the Extended Uncertainty Principle (EUP), introducing quantum…

High Energy Physics - Theory · Physics 2025-01-13 A. Pachoł

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

String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle.…

Quantum Physics · Physics 2014-11-18 Kourosh Nozari , Tahereh Azizi

Generalized uncertainty principles (GUP) and, independently, Lorentz symmetry violations are two common features in many candidate theories of quantum gravity. Despite that, the overlap between both has received limited attention so far. In…

High Energy Physics - Theory · Physics 2023-05-22 André H. Gomes

The Bell's inequality is a strong criterion to distinguish classical and quantum mechanical aspects of reality. Its violation is the net effect of the existence of non-locality in systems, an advantage for quantum mechanics (QM) over…

Quantum Physics · Physics 2021-12-21 S. Aghababaei , H. Moradpour , H. Shabani

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

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

Many theories that attempt to formulate a quantum description of gravity suggest the existence of a fundamental minimum length scale. A popular method for incorporating this minimum length is through a modification of the Heisenberg…

General Relativity and Quantum Cosmology · Physics 2025-06-18 William M. Campbell , Michael E. Tobar , Serge Galliou , Maxim Goryachev

We present a novel generalization of the Heisenberg uncertainty principle which introduces the existence of a maximal observable momentum and at the same time does not entail a minimal indeterminacy in position. The above result is an exact…

High Energy Physics - Theory · Physics 2021-07-07 Luciano Petruzziello

We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello

In this work we study the effects of the generalized uncertainty principle (GUP) in cosmology. We start with the Friedmann-Robertson-Walker (FRW) model endowed with a scalar field. After introducing the GUP modification to the model, we…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Oscar López-Aguayo , J. C. López-Domínguez , M. Sabido

We examine quantum gravity effects on entanglement by a straightforward application of the generalized uncertainty principle (GUP) to continuous-variable systems. In particular, we study the following cases: the modified uncertainty…

Quantum Physics · Physics 2018-12-26 Gardo Blado , Francisco Herrera , Joshuah Erwin

Quantum theories of gravity predict interesting phenomenological features such as a minimum measurable length and maximum momentum. We use the Generalized Uncertainty Principle (GUP), which is an extension of the standard Heisenberg…

General Relativity and Quantum Cosmology · Physics 2021-09-10 Vijay Nenmeli , S. Shankaranarayanan , Vasil Todorinov , Saurya Das

Different candidates of Quantum Gravity such as String Theory, Doubly Special Relativity, Loop Quantum Gravity and black hole physics all predict the existence of a minimum observable length or a maximum observable momentum which modifies…

High Energy Physics - Theory · Physics 2010-11-30 Pouria Pedram

Quantum gravity has been baffling the theoretical physicist for decades now: both for its mathematical obscurity and phenomenological testing. Nevertheless, the new era of precision cosmology presents a promising avenue to test the effects…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

At the heart of the black hole information loss paradox and the firewall controversy lies the conflict between quantum mechanics and general relativity. Much has been said about quantum corrections to general relativity, but much less in…

High Energy Physics - Theory · Physics 2014-12-12 Pisin Chen , Yen Chin Ong , Dong-han Yeom