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We use the Schr\"odinger--Newton equation to calculate the regularized self-energy of the particle using a regular self-gravitational and electrostatic potential derived in the string T-duality. The particle mass $M$ is no longer…

高能物理 - 理论 · 物理学 2024-11-11 Kimet Jusufi , Ahmed Farag Ali

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…

广义相对论与量子宇宙学 · 物理学 2021-08-12 Pasquale Bosso , Saurya Das , Vasil Todorinov

In a previous paper [Blado G, Owens C, and Meyers V 2014 Quantum Wells and the Generalized Uncertainty Principle Eur. J. Phys. 35 065011], we showed that quantum gravity effects can be discussed with only a background in non-relativistic…

量子物理 · 物理学 2016-01-13 Gardo Blado , Trevor Prescott , James Jennings , Joshuah Ceyanes , Rafael Sepulveda

Existence of minimal length is suggested in any quantum theory of gravity such as string theory, double special relativity and black hole physics. One way to impose minimal length is deforming Heisenberg algebra in phase space which is…

广义相对论与量子宇宙学 · 物理学 2012-10-18 B. Vakili , M. A. Gorji

In this note, we consider the implications of the Heisenberg uncertainty principle (HUP) when computing uncertainties that affect the main dynamical quantities, from the perspective of special relativity. Using the well-known formula for…

量子物理 · 物理学 2016-09-19 Luca Nanni

The non-zero minimal length arises in various theories of gravity, leading to the so-called generalized uncertainty principle (GUP). In this short paper we analyze the GUP effects on neutron interferometry, showing that the obtained phase…

广义相对论与量子宇宙学 · 物理学 2021-11-02 Fabiano Feleppa , Hooman Moradpour , Christian Corda , Sarah Aghababaei

Using the cosmological perturbation theory in terms of the delta-N formalism, we find the simple formulation of the evolution of the curvature perturbation in generalized gravity theories. Compared with the standard gravity theory, a…

高能物理 - 理论 · 物理学 2009-08-12 Tomohiro Matsuda

The unification of quantum mechanics and gravity remains as one of the primary challenges of present-day physics. Quantum-gravity-inspired phenomenological models offer a window to explore potential aspects of quantum gravity including…

广义相对论与量子宇宙学 · 物理学 2017-08-25 Pasquale Bosso , Saurya Das , Igor Pikovski , Michael R. Vanner

Minimal and maximal uncertainties of position measurements are widely considered possible hallmarks of low-energy quantum as well as classical gravity. While General Relativity describes interactions in terms of spatial curvature, its…

广义相对论与量子宇宙学 · 物理学 2023-03-23 Fabian Wagner

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein--Hawking (black hole) entropy. In particular, many researchers have expressed a vested interest in fixing the coefficient of the…

高能物理 - 理论 · 物理学 2009-11-10 A. J. M. Medved , Elias C. Vagenas

The existence of the cosmological particle horizon as the maximum measurable length $l_{max}$ in the universe leads to a generalization of the quantum uncertainty principle (GUP) to the form $\Delta x \Delta p \geq…

广义相对论与量子宇宙学 · 物理学 2019-12-25 F. Skara , L. Perivolaropoulos

We show that the existence of a minimum measurable length and the related Generalized Uncertainty Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections…

高能物理 - 理论 · 物理学 2008-12-18 Saurya Das , Elias C. Vagenas

Motivated by several approaches to quantum gravity, there is a considerable literature on generalised uncertainty principles particularly through modification of the canonical position-momentum commutation relations. Some of these modified…

量子物理 · 物理学 2022-11-23 Parth Girdhar , Andrew C. Doherty

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…

广义相对论与量子宇宙学 · 物理学 2021-09-10 Vijay Nenmeli , S. Shankaranarayanan , Vasil Todorinov , Saurya Das

We investigate the impacts of Generalized Uncertainty Principle (GUP) proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity on black hole thermodynamics and Salecker-Wigner inequalities.…

广义相对论与量子宇宙学 · 物理学 2013-07-26 A. Tawfik

In several approaches to the quantum-gravity problem evidence has emerged of the validity of a "GUP" (a Generalized position-momentum Uncertainty Principle) and/or a "MDR" (a modification of the energy-momentum dispersion relation), but…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Giovanni Amelino-Camelia , Michele Arzano , Yi Ling , Gianluca Mandanici

We show that a deformation of the Heisenberg algebra which depends on a dimensionful parameter $\kappa$ is the algebraic structure which underlies the generalized uncertainty principle in quantum gravity. The deformed algebra and therefore…

高能物理 - 理论 · 物理学 2009-10-22 Michele Maggiore

Inspired by string theory, Heisenberg's uncertainty principle can be generalized to include the photon-electron gravitational interaction, which leads to the Generalized Uncertainty Principle (GUP). Although GUP considers gravitational…

广义相对论与量子宇宙学 · 物理学 2022-04-19 Sara Azizi , Sareh Eslamzadeh , Javad T. Firouzjaee , Kourosh Nozari

This work investigates the validity of the generalized second law of thermodynamics in modified f(R) Horava-Lifshitz gravity proposed by Chaichian et al (2010) [Class. Quantum Grav. 27 (2010) 185021], which is invariant under…

综合物理 · 物理学 2016-12-09 Surajit Chattopadhyay , Rahul Ghosh

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…

高能物理 - 理论 · 物理学 2009-07-29 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas