A Possible Resolution of the Black Hole Information Puzzle

Abstract

The problem of information loss is considered under the assumption that the process of black hole evaporation terminates in the decay of the black hole interior into a baby universe. We show that such theories can be decomposed into superselection sectors labeled by eigenvalues of the third-quantized baby universe field operator, and that scattering is unitary within each superselection sector. This result relies crucially on the quantum-mechanical variability of the decay time. It is further argued that the decay rate in the black hole rest frame is necessarily proportional to $e^{-S_{tot}}$, where $S_{tot}$ is the total entropy produced during the evaporation process, entailing a very long-lived remnant.

15 pages, 3 uuencoded figures. Revised version contains some notational simplifications

References in corpus (3)

• Dynamical Moving Mirrors and Black Holes
• Conformally Invariant Boundary Conditions for Dilaton Gravity
• Comment On A Proposal By Strominger

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