PIRSA:07080001

Quantum gravity and the Coulomb potential

Husain, V. (2007). Quantum gravity and the Coulomb potential. Perimeter Institute. https://pirsa.org/07080001

Husain, Viqar. Quantum gravity and the Coulomb potential. Perimeter Institute, Aug. 02, 2007, https://pirsa.org/07080001 

          @misc{ pirsa_07080001,
            doi = {10.48660/07080001},
            url = {https://pirsa.org/07080001},
            author = {Husain, Viqar},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Quantum gravity and the Coulomb potential},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {aug},
            note = {PIRSA:07080001 see, \url{https://pirsa.org}}
          }

Viqar Husain University of New Brunswick

DOI 10.48660/07080001
Collection
Talk Type Scientific Series
Subject

Abstract

An ingredient in recent discussions of curvature singularity avoidance in quantum gravity is the "inverse scale factor" operator and its generalizations. I describe a general lattice origin of this idea, and show how it applies to the Coulomb singularity in quantum mechanics, and more generally to lattice formulations of quantum gravity. The example also demonstrates that a lattice discretized Schrodinger or Wheeler-DeWitt equation is computationally equivalent to the so called "polymer" quantization derived from loop quantum gravity.