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Motivated by generalized uncertainty principle, we derive a discrete picture of the space that respects Lorentz symmetry as well as gauge symmetry through setting an equivalency between linear GUP correction term and electromagnetic…

General Physics · Physics 2023-09-08 Ahmed Farag Ali , Barun Majumder , Prabir Rudra

Very recently Ali et al.(2009) proposed a new generalized uncertainty principle (or GUP) with a linear term in Plank length which is consistent with doubly special relativity and string theory. The classical and quantum effects of this…

General Relativity and Quantum Cosmology · Physics 2011-09-21 Barun Majumder

We analyze the issue of unitary equivalence within Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. For a deformed Heisenberg algebra, its representation in terms of Hilbert space and conjugate operators is not…

Mathematical Physics · Physics 2026-01-13 Sebastiano Segreto , Matteo Bruno

A recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum…

General Relativity and Quantum Cosmology · Physics 2013-02-25 Ahmed Farag Ali , A. Tawfik

The existence of a small, non-zero cosmological constant is one of the major puzzles in fundamental physics. Naively, quantum field theory arguments would imply a cosmological constant which is up to 10$^{120}$ times larger than the…

General Physics · Physics 2022-09-08 Michael Bishop , Joey Contreras , Peter Martin , Douglas Singleton

Theories of Quantum Gravity predict a minimum measurable length and a corresponding modification of the Heisenberg Uncertainty Principle to the so-called Generalized Uncertainty Principle (GUP). However, this modification is usually…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Vasil Todorinov , Saurya Das , Pasquale Bosso

We consider quintessence scalar field cosmology in which the Lagrangian of the scalar field is modified by the Generalized Uncertainty Principle. We show that the perturbation terms which arise from the deformed algebra are equivalent with…

General Relativity and Quantum Cosmology · Physics 2015-12-03 Andronikos Paliathanasis , Supriya Pan , Souvik Pramanik

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

With the direct detection of gravitational waves by advanced LIGO detector, a new "window" to quantum gravity phenomenology has been opened. At present, these detectors achieve the sensitivity to detect the length variation ($\delta L$),…

General Relativity and Quantum Cosmology · Physics 2020-09-11 Sukanta Bhattacharyya , Sunandan Gangopadhyay , Anirban Saha

Diverse theories of Quantum Gravity expect modification of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle.It was shown by some authors that the Generalized uncertainty principle…

High Energy Physics - Theory · Physics 2013-12-30 Ahmad Adel Abutaleb

In this work, we deepen the correspondence between Generalized Uncertainty Principles (GUPs) and quantum dynamics on curved momentum space. In particular, we investigate the linear and quadratic GUP. Similarly to earlier work, the resulting…

General Relativity and Quantum Cosmology · Physics 2022-07-08 Fabian Wagner

A permanent electric dipole moment (EDM) of a particle or system is a separation of charge along its angular-momentum axis and is a direct signal of T-violation and, assuming CPT symmetry, CP violation. For over sixty years EDMs have been…

Atomic Physics · Physics 2019-02-08 Timothy Chupp , Peter Fierlinger , Michael Ramsey-Musolf , Jaideep Singh

This work is a continuation of studies presented in the papers arXiv:0911.5597, arXiv:1003.4523. In the work it is demonstrated that with the use of one and the same parameter deformation may be described for several cases of the General…

General Relativity and Quantum Cosmology · Physics 2010-06-28 A. E. Shalyt-Margolin

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

We present a formulation of the generalised uncertainty principle based on commutator $\left[ {\hat x}^i, {\hat p}_j \right]$ between position and momentum operators defined in a covariant manner using normal coordinates. We show how any…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Raghvendra Singh , Dawood Kothawala

Recently, we presented a unified way of analysing classical cosmological perturbation in generalized gravity theories. In this paper, we derive the perturbation spectrums generated from quantum fluctuations again in unified forms. We…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. Hwang

In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a…

General Relativity and Quantum Cosmology · Physics 2025-08-21 João Gabriel Galli Gimenez , Dimiter Hadjimichef , Peter O. Hess , Marcelo Netz-Marzola , César A. Zen Vasconcellos

We derive the uncertainty principle for a Dirac fermion in a torsion field obeying the Hehl-Datta (HD) equation. We first discuss that there should be a correction factor to the Heisenberg uncertainty principle (HUP) when torsional effects…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Anjali Ramesh

As an important class of quantum gravity models, the generalized uncertainty principle (GUP) plays an important role in exploring the properties of cosmology and its related problems. In this paper, we explore the influence of the…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Song-Shan Luo , Zhong-Wen Feng

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