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_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

Talk Type Scientific Series


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.