# Generalized Uncertainty Principle from QuantumGeometry

@article{Capozziello2000GeneralizedUP, title={Generalized Uncertainty Principle from QuantumGeometry}, author={Salvatore Capozziello and Gaetano Lambiase and G. Scarpetta}, journal={International Journal of Theoretical Physics}, year={2000}, volume={39}, pages={15-22} }

The generalized uncertainty principle of string theory is derived in the frameworkof quantum geometry by taking into account the existence of an upper limit onthe acceleration of massive particles.

## 209 Citations

Quantum mechanics and the generalized uncertainty principle

- Physics
- 2006

The generalized uncertainty principle has been described as a general consequence of incorporating a minimal length from a theory of quantum gravity. We consider a simple quantum mechanical model…

Quantization of Boson Fields in Quantum Geometry

- Physics
- 2001

It is shown that the introduction of an upper limit on the acceleration of particles provides a natural cutoff on momenta, avoiding the problem of ultraviolet divergencies in local quantum field…

Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle

- PhysicsJournal of Physics: Conference Series
- 2019

After a short introduction to the generalized uncertainty principle (GUP), we discuss heuristic derivations of the Casimir effect, first from the usual Heisenberg uncertainty principle (HUP), and…

The uncertainty principle, spacetime fluctuations and measurability notion in quantum theory and gravity

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- 2016

This paper is a continuation of the works earlier published by the author and deals with the theories involving a minimal length at all energy scales. The previously introduced notion of…

Relativistic oscillators in new type of the extended uncertainty principle

- Physics
- 2019

We present the exact solutions of one-dimensional Klein–Gordon and Dirac oscillators subject to the uniform electric field in the context of the new type of the extended uncertainty principle using...

Quantum violations of the equivalence principle in a modified Schwarzschild geometry. Neutrino oscillations

- Physics
- 2000

Gravitational renormalization of quantum field theory: A 'Conservative' approach

- Physics
- 2009

We propose general guidelines in order to incorporate the geometrical description of gravity in quantum field theory and address the problem of UV divergences non-perturbatively. In our aproach, each…

New generalized uncertainty principle from the doubly special relativity

- PhysicsPhysics Letters B
- 2018

Measurability in quantum theory, gravity and thermodynamics and general remarks to Hawking's problems

- Physics
- 2017

In thermodynamics the measurability notion, introduced previously in a quantum theory, is defined on the basis of a minimal inverse temperature. Based on this notion, some implications are obtained…

Path Integral for Dirac oscillator with generalized uncertainty principle

- Physics
- 2012

The propagator for Dirac oscillator in (1+1) dimension, with deformed commutation relation of the Heisenberg principle, is calculated using path integral in quadri-momentum representation. As the…

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