Information Recovery From Black Holes

Details Information Recovery From Black Holes Information Recovery From Black Holes

2006-04-06

arxiv.org/abs/hep-th/0604045v3

Gen.Rel.Grav. 38 (2006) 1529-1536

Physics

High Energy Physics

High Energy Physics - Theory

First prize in the Gravity Research Foundation Essay Competition, 8 pages, Latex

Scientific paper

10.1007/s10714-006-0344-8

We argue that if black hole entropy arises from a finite number of underlying quantum states, then any particular such state can be identified from infinity. The finite density of states implies a discrete energy spectrum, and, in general, such spectra are non-degenerate except as determined by symmetries. Therefore, knowledge of the precise energy, and of other commuting conserved charges, determines the quantum state. In a gravitating theory, all conserved charges including the energy are given by boundary terms that can be measured at infinity. Thus, within any theory of quantum gravity, no information can be lost in black holes with a finite number of states. However, identifying the state of a black hole from infinity requires measurements with Planck scale precision. Hence observers with insufficient resolution will experience information loss.

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