Singularity avoidance by collapsing shells in quantum gravity

Abstract

We discuss a model describing exactly a thin spherically symmetric shell of matter with zero rest mass. We derive the reduced formulation of this system in which the variables are embeddings, their conjugate momenta, and Dirac observables. A non-perturbative quantum theory of this model is then constructed, leading to a unitary dynamics. As a consequence of unitarity, the classical singularity is fully avoided in the quantum theory.

5 pages, 1 figure, received honorable mention in the 2001 essay competititon, to appear in Int. J. Mod. Phys. D

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