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- Title
Singularity avoidance, lattices, and quantum gravity.
- Authors
Husain, Viqar
- Abstract
An ingredient in recent discussions of curvature singularity avoidance in quantum gravity is the “inverse scale factor” operator in quantum cosmology, and its generalizations to field theoretic models such as scalar-field collapse in spherical symmetry. I describe a general lattice origin of this idea, and show how it applies to the Coulomb singularity in quantum mechanics. The example demonstrates that a discretized Schrodinger equation is computationally equivalent to the so-called polymer quantization derived loop quantum gravity. This applies also to lattice discretized forms of the Wheeler–deWitt equation.PACS Nos.: 04.60.–m, 04.60.Ds, 04.70.Dy
- Subjects
QUANTUM gravity; QUANTUM cosmology; SYMMETRY (Physics); SCHRODINGER equation; QUANTUM theory
- Publication
Canadian Journal of Physics, 2008, Vol 86, Issue 4, p583
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/P07-201