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The fundamental physical description of the Universe is based on two theories: Quantum Mechanics and General Relativity. Unified theory of Quantum Gravity (QG) is an open problem. Quantum Gravity Phenomenology (QGP) studies QG effects in…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Vasil Todorinov

Understanding and mitigating noise in quantum systems is a fundamental challenge in achieving scalable and fault-tolerant quantum computation. Error modeling for quantum systems can be formulated in many ways, some of which are very…

We revisit the Extended Uncertainty Principle (EUP) from an operational viewpoint, replacing wavefunction-based widths with apparatus-defined position constraints such as a finite slit of width $\Delta x$ or a geodesic ball of radius $R$.…

Quantum Physics · Physics 2025-09-03 Thomas Schürmann

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the…

The laws of quantum mechanics allow to perform measurements whose precision supersedes results predicted by classical parameter estimation theory. That is, the precision bound imposed by the central limit theorem in the estimation of a…

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum. In this work we compute…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Pasquale Bosso , Saurya Das , Robert B. Mann

The aim of this paper is to constrain modified gravity with redshift space distortion observations and supernovae measurements. Compared with a standard LCDM analysis, we include three additional free parameters, namely the initial…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Laura Taddei , Matteo Martinelli , Luca Amendola

We investigate an extension of the Generalized Uncertainty Principle (GUP) in three dimensions by modifying the three dimensional position and momentum operators in a manner that remains coordinate-independent and retains as much of the…

Quantum Physics · Physics 2023-07-12 Michael Bishop , Joey Contreras , Peter Martin , Piero Nicolini , Douglas Singleton

The effects of the generalized uncertainty principle (GUP) on the low-energy stationary states of a particle moving in a cavity with no sharp boundaries are determined by means of the perturbation expansion in the framework of…

High Energy Physics - Theory · Physics 2015-06-23 K. Sailer , Z. Peli , S. Nagy

We introduce a determining wavenumber for the surface quasi-geostrophic (SQG) equation defined for each individual trajectory and then study its dependence on the force. While in the subcritical and critical cases this wavenumber has a…

Analysis of PDEs · Mathematics 2019-07-23 Alexey Cheskidov , Mimi Dai

We present an approach for satisfying state constraints in systems with nonparametric uncertainty by estimating this uncertainty with a real-time-update Gaussian process (GP) model. Notably, new data is incorporated into the model in real…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg

A new approach is proposed to phenomenological study of a generic unified supergravity model, which reduces to the minimal supersymmetric standard model. The model is effectively parametrized in terms of five low energy observables. In…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Olechowski , S. Pokorski

Several theories that attempt to unify quantum theory and gravitational theory assume that space has an observable limiting resolution related to the Planck length, denoted by $\sqrt{\beta_0}L_p$. Quantum mechanically, this concept derives…

Quantum Physics · Physics 2025-08-15 Wenlin Li , Xingli Li , Najmeh Eshaqi-Sani , Wen-zhao Zhang , Jiong Cheng

In this paper we generalize the concept of Wigner function in the case of quantum mechanics with a minimum length scale arising due to the application of a generalized uncertainty principle (GUP). We present the phase space formulation of…

High Energy Physics - Theory · Physics 2021-01-28 Prathamesh Yeole , Vipul Kumar , Kaushik Bhattacharya

A modification to the Heisenberg uncertainty principle is called the generalized uncertainty principle (GUP), which emerged due to the introduction of a minimum measurable length, common among phenomenological approaches to quantum gravity.…

High Energy Physics - Phenomenology · Physics 2023-08-30 John Paul R. Bernaldez , Adrian G. Abac , Roland Emerito S. Otadoy

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…

General Relativity and Quantum Cosmology · Physics 2017-08-25 Pasquale Bosso , Saurya Das , Igor Pikovski , Michael R. Vanner

Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified…

General Physics · Physics 2015-11-04 Abdel Nasser Tawfik , Abdel Magied Diab

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…

General Relativity and Quantum Cosmology · Physics 2012-10-18 B. Vakili , M. A. Gorji

A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Ashmita Das , Saurya Das , Elias C. Vagenas

We analyze finite supersymmetric SU(5) GUT taking into account the problem in the Higgs potential and threshold corrections to gauge and Yukawa couplings at GUT and SUSY scales which is important in case of large $\tan \beta$ model. We find…

High Energy Physics - Phenomenology · Physics 2011-07-19 Koichi Yoshioka
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