# Generalized Uncertainty Principle from Quantum Geometry

@article{Capozziello1999GeneralizedUP, title={Generalized Uncertainty Principle from Quantum Geometry}, author={Salvatore Capozziello and Gaetano Lambiase and G. Scarpetta}, journal={arXiv: General Relativity and Quantum Cosmology}, year={1999} }

The generalized uncertainty principle of string theory is derived in the framework of
Quantum Geometry by taking into account the existence of an upper limit on the acceleration of massive particles.

## 45 Citations

Minimal Length Phenomenology and the Black Body Radiation

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- 2021

The generalized uncertainty principle (GUP) modifies the uncertainty relation between momentum and position giving room for a minimal length, as predicted by candidates theories of quantum gravity.…

Possible Polarization and Spin-Dependent Aspects of Quantum Gravity

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We argue that quantum gravity theories that carry a Lie-algebraic modification of the Poincare and Heisenberg algebras inevitably provide inhomogeneities that may serve as seeds for cosmological…

Lorentz and gauge invariance of quantum space

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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…

Heisenberg Algebra in the Bargmann-Fock Space with Natural Cutoffs

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We construct a Heisenberg algebra in Bargmann-Fock space in the presence of natural cutoffs encoded as minimal length, minimal momentum, and maximal momentum through a generalized uncertainty…

Deformed Density Matrix and Quantum Entropy of the Black Hole

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- 2006

The author investigates the information paradox problem, entropy of the black hole remainders after evaporation, and consistency with the holographic principle.

Generalized uncertainty principle or curved momentum space?

- PhysicsPhysical Review D
- 2021

The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on…

The Density Matrix Deformation in Physics of the Early Universe and Some of its Implications

- Physics
- 2004

In this paper a new approach to investigation of Quantum and Statistical Mechanics of the Early Universe (Planck scale) - density matrix deformation - is proposed. The deformation is understood as an…

The influence of approximation in generalized uncertainty principle on black hole evaporation

- EngineeringJournal of Cosmology and Astroparticle Physics
- 2022

The generalized uncertainty principle is often used to modify various thermodynamics systems by regarding the greater-than-equal relation as an approximate relation. We give a method to improve this…

The generalized uncertainty principle effect in acoustic black holes

- PhysicsAnnals of Physics
- 2022

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