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We review highlights from string theory, black hole physics and doubly special relativity and some "thought" experiments which were suggested to probe the shortest distance and/or the maximum momentum at the Planck scale. The models which…

General Relativity and Quantum Cosmology · Physics 2015-08-24 Abdel Nasser Tawfik , Abdel Magied Diab

We give a pedagogical introduction to the generalized uncertainty principle (GUP), by showing how it naturally emerges when the action of gravity is taken into account in measurement processes. We review some physical predictions of the…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Fabio Scardigli

The Generalized Uncertainty Principle (GUP) is motivated by the premise that spacetime fluctuations near the Planck scale impose a lower bound on the achievable resolution of distances, leading to a minimum length. Inspired by a…

High Energy Astrophysical Phenomena · Physics 2024-02-12 Marcelo Netz-Marzola , César Augusto Zen Vasconcellos , Dimiter Hadjimichef

Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous…

General Relativity and Quantum Cosmology · Physics 2017-04-28 Dongfeng Gao , Mingsheng Zhan

This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of…

Quantum Physics · Physics 2024-12-18 Ying-Jie Zhao , Yan-Fang Ji , Guang-Rui Yao , Xiaojie Li , Muddasir Hanif

In this letter, the entropy bound for local quantum field theories (LQFT) is studies in a class of models of the generalized uncertainty principle(GUP) which predicts a minimal length as a reflection of the quantum gravity effects. Both…

High Energy Physics - Theory · Physics 2015-06-04 Weijian Wang , Da Huang

Various models of quantum gravity suggest a modification of the Heisenberg's Uncertainty Principle, to the so-called Generalized Uncertainty Principle, between position and momentum. In this work we show how this modification influences the…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Pasquale Bosso , Saurya Das

According to a number of arguments in quantum gravity, both model-dependent and model-independent, Heisenberg's uncertainty principle is modified when approaching the Planck scale. This deformation is attributed to the existence of a…

General Relativity and Quantum Cosmology · Physics 2023-10-30 Pasquale Bosso , Giuseppe Gaetano Luciano , Luciano Petruzziello , Fabian Wagner

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

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a…

High Energy Physics - Phenomenology · Physics 2015-10-01 L. I. AbouSalem , N. M. El Naggar , I. A. Elmashad

All possible theories of quantum gravity suggest the existence of a minimal length. As a consequence, the usual Heisenberg Uncertainty Principle (HUP) is replaced by a more general uncertainty principle known as the Generalised Uncertainty…

Quantum Physics · Physics 2023-10-27 Sheikh Riasat , Bhabani Prasad Mandal

Uncertainty relations are central to quantum physics. While they were originally formulated in terms of variances, they have later been successfully expressed with entropies following the advent of Shannon information theory. Here, we…

Quantum Physics · Physics 2019-05-01 Anaelle Hertz , Nicolas J. Cerf

This paper concerned with the effect of generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal that produced during first order cosmological QCD phase transition in early universe. A modified…

General Relativity and Quantum Cosmology · Physics 2021-01-22 Mohamed Moussa , Homa Shababi , Ahmed Farag Ali

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

Entropic uncertainty relations play an important role in both fundamentals and applications of quantum theory. Although they have been well-investigated in quantum theory, little is known about entropic uncertainty in generalized…

Quantum Physics · Physics 2021-08-11 Ryo Takakura , Takayuki Miyadera

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

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

The uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit on the measurement precisions of incompatible observables. Here we show that the traditional uncertainty relation in fact…

Quantum Physics · Physics 2021-02-03 Jun-Li Li , Cong-Feng Qiao

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

The uncertainty principle restricts potential information one gains about physical properties of the measured particle. However, if the particle is prepared in entanglement with a quantum memory, the corresponding entropic uncertainty…

Quantum Physics · Physics 2017-03-10 Yunlong Xiao , Naihuan Jing , Xianqing Li-Jost