Generalized Uncertainty Principle and Quantum Gravity Phenomenology
Author | : Pasquale Bosso |
Publisher | : |
Total Pages | : |
Release | : 2017 |
ISBN-10 | : OCLC:1227985706 |
ISBN-13 | : |
Rating | : 4/5 (06 Downloads) |
Download or read book Generalized Uncertainty Principle and Quantum Gravity Phenomenology written by Pasquale Bosso and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 canonical 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.