Minimal length scale scenarios for quantum gravity

S Hossenfelder - Living Reviews in Relativity, 2013‏ - Springer
We review the question of whether the fundamental laws of nature limit our ability to probe
arbitrarily short distances. First, we examine what insights can be gained from thought …

Massive quantum systems as interfaces of quantum mechanics and gravity

S Bose, I Fuentes, AA Geraci, SM Khan, S Qvarfort… - Reviews of Modern …, 2025‏ - APS
The traditional view from particle physics is that quantum-gravity effects should become
detectable only at extremely high energies and small length scales. Owing to the significant …

30 years in: Quo vadis generalized uncertainty principle?

P Bosso, GG Luciano, L Petruzziello… - Classical and Quantum …, 2023‏ - iopscience.iop.org
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 …

Generalized uncertainty principle: Approaches and applications

A Tawfik, A Diab - International Journal of Modern Physics D, 2014‏ - World Scientific
In this paper, we review some highlights from the String theory, the black hole physics and
the doubly special relativity and some thought experiments which were suggested to probe …

[کتاب][B] Wave equations in higher dimensions

SH Dong - 2011‏ - books.google.com
Higher dimensional theories have attracted much attention because they make it possible to
reduce much of physics in a concise, elegant fashion that unifies the two great theories of …

A review of the generalized uncertainty principle

AN Tawfik, AM Diab - Reports on Progress in Physics, 2015‏ - iopscience.iop.org
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 …

Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem

LN Chang, D Minic, N Okamura, T Takeuchi - Physical Review D, 2002‏ - APS
We investigate the effect of the minimal length uncertainty relation, motivated by perturbative
string theory, on the density of states in momentum space. The relation is implemented …

Spectroscopy of mesons in the relativized quark model

S Godfrey - Physical Review D—Particles, Fields, Gravitation, and …, 2004‏ - APS
We calculate the spectrum of the charm-beauty mesons using the relativized quark model.
Using the wave functions from this model we compute the radiative widths of excited cb¯ …

Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem

C Quesne, VM Tkachuk - Journal of Physics A: Mathematical and …, 2004‏ - iopscience.iop.org
We show that there exist some intimate connections between three unconventional
Schrödinger equations based on the use of deformed canonical commutation relations, of a …

Probing deformed commutators with macroscopic harmonic oscillators

M Bawaj, C Biancofiore, M Bonaldi, F Bonfigli… - Nature …, 2015‏ - nature.com
A minimal observable length is a common feature of theories that aim to merge quantum
physics and gravity. Quantum mechanically, this concept is associated with a nonzero …