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arXiv · 1512.08346

Quantum black hole without singularity

Claus Kiefer
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Abstract

We discuss the quantization of a spherical dust shell in a rigorous manner. Classically, the shell can collapse to form a black hole with a singularity. In the quantum theory, we construct a well-defined self-adjoint extension for the Hamilton operator. As a result, the evolution is unitary and the singularity is avoided. If we represent the shell initially by a narrow wave packet, it will first contract until it reaches the region where classically a black hole would form, but then re-expands to infinity. In a way, the state can be interpreted as a superposition of a black hole with a white hole.

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Claus Kiefer. 2015-12-28. Quantum black hole without singularity. https://arxiv.org/abs/1512.08346

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