Polymer quantization of the Einstein-Rosen wormhole throat

Details Polymer quantization of the Einstein-Rosen wormhole throat Polymer quantization of the Einstein-Rosen wormhole throat

2009-10-19

arxiv.org/abs/0910.3625v2

Phys.Rev.D81:024034,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 8 figures. References added, minor typos corrected. Published version

Scientific paper

10.1103/PhysRevD.81.024034

We present a polymer quantization of spherically symmetric Einstein gravity in which the polymerized variable is the area of the Einstein-Rosen wormhole throat. In the classical polymer theory, the singularity is replaced by a bounce at a radius that depends on the polymerization scale. In the polymer quantum theory, we show numerically that the area spectrum is evenly-spaced and in agreement with a Bohr-Sommerfeld semiclassical estimate, and this spectrum is not qualitatively sensitive to issues of factor ordering or boundary conditions except in the lowest few eigenvalues. In the limit of small polymerization scale we recover, within the numerical accuracy, the area spectrum obtained from a Schrodinger quantization of the wormhole throat dynamics. The prospects of recovering from the polymer throat theory a full quantum-corrected spacetime are discussed.

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