Is Quantum Spacetime Foam Unstable?

Details Is Quantum Spacetime Foam Unstable? Is Quantum Spacetime Foam Unstable?

1992-10-28

arxiv.org/abs/gr-qc/9210017v1

Phys.Rev.D47:2163-2167,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1103/PhysRevD.47.R2163

A very simple wormhole geometry is considered as a model of a mode of topological fluctutation in Planck-scale spacetime foam. Quantum dynamics of the hole reduces to quantum mechanics of one variable, throat radius, and admits a WKB analysis. The hole is quantum-mechanically unstable: It has no bound states. Wormhole wave functions must eventually leak to large radii. This suggests that stability considerations along these lines may place strong constraints on the nature and even the existence of spacetime foam.

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