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 …

[HTML][HTML] A higher order GUP with minimal length uncertainty and maximal momentum II: Applications

P Pedram - Physics Letters B, 2012 - Elsevier
In a recent paper, we presented a nonperturbative higher order Generalized Uncertainty
Principle (GUP) that is consistent with various proposals of quantum gravity such as string …

Minimal length, maximal momentum, and Hilbert space representation<? format?> of quantum mechanics

K Nozari, A Etemadi - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
Kempf et al. in Ref.[A. Kempf, G. Mangano, and RB Mann, Phys. Rev. D 52, 1108 (1995).
PRVDAQ 0556-2821 10.1103/PhysRevD. 52.1108]<? format?> have formulated a Hilbert …

Modified Unruh effect from generalized uncertainty principle

F Scardigli, M Blasone, G Luciano… - The European Physical …, 2018 - Springer
We consider a generalized uncertainty principle (GUP) corresponding to a deformation of
the fundamental commutator obtained by adding a term quadratic in the momentum. From …

The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field

P Pedram, K Nozari, SH Taheri - Journal of High Energy Physics, 2011 - Springer
The existence of a minimum observable length and/or a maximum observable momentum is
in agreement with various candidates of quantum gravity such as string theory, loop …

GUP-corrected thermodynamics for all black objects and the existence of remnants

M Faizal, MM Khalil - International Journal of Modern Physics A, 2015 - World Scientific
Based on the universality of the entropy-area relation of a black hole, and the fact that the
generalized uncertainty principle (GUP) adds a logarithmic correction term to the entropy in …

A new higher order GUP: one dimensional quantum system

WS Chung, H Hassanabadi - The European Physical Journal C, 2019 - Springer
In this paper we present a new higher order generalized (gravitational) uncertainty principle
(GUP*) which has the maximal momentum as well as the minimal length. We discuss the …

New approach to nonperturbative quantum mechanics with minimal length uncertainty

P Pedram - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
The existence of a minimal measurable length is a common feature of various approaches to
quantum gravity such as string theory, loop quantum gravity, and black-hole physics. In this …

[HTML][HTML] New generalized uncertainty principle from the doubly special relativity

WS Chung, H Hassanabadi - Physics Letters B, 2018 - Elsevier
Based on the doubly special relativity we find a new type of generalized uncertainty principle
(GUP) where the coordinate remains unaltered at the high energy while the momentum is …

Minimal length and bouncing-particle spectrum

K Nozari, P Pedram - Europhysics Letters, 2010 - iopscience.iop.org
In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on the
spectrum of a particle that is bouncing vertically and elastically on a smooth reflecting floor in …