Generalized Uncertainty Principle and Quantum Gravity Phenomenology
Abstract
The fundamental physical description of Nature is based on two mutually incompatible theories: Quantum Mechanics and General Relativity. Their unification in a theory of Quantum Gravity (QG) remains one of the main challenges of theoretical physics. Quantum Gravity Phenomenology (QGP) studies QG effects in low-energy systems. The basis of one such phenomenological model is the Generalized Uncertainty Principle (GUP), which is a modified Heisenberg uncertainty relation and predicts a deformed canon ical commutator. In this thesis, we compute Planck-scale corrections to angular momentum eigenvalues, the hydrogen atom spectrum, the Stern-Gerlach experiment, and the Clebsch-Gordan coefficients. We then rigorously analyze the GUP-perturbed harmonic oscillator and study new coherent and squeezed states. Furthermore, we introduce a scheme for increasing the sensitivity of optomechanical experiments for testing QG effects. Finally, we suggest future projects that may potentially test QG effects in the laboratory.
Cite
@article{arxiv.1709.04947,
title = {Generalized Uncertainty Principle and Quantum Gravity Phenomenology},
author = {Pasquale Bosso},
journal= {arXiv preprint arXiv:1709.04947},
year = {2019}
}
Comments
PhD Thesis. University of Lethbridge, August 2017. PhD Advisors: S. Das