Unitarity and the Hilbert space of quantum gravity

Details Unitarity and the Hilbert space of quantum gravity Unitarity and the Hilbert space of quantum gravity

2008-03-28

arxiv.org/abs/0803.4212v2

Class.Quant.Grav.25:235007,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 3 figures, revtex; minor changes in v2 (version published in Class. Quant. Grav.)

Scientific paper

10.1088/0264-9381/25/23/235007

Under the premises that physics is unitary and black hole evaporation is complete (no remnants, no topology change), there must exist a one-to-one correspondence between states on future null and timelike infinity and on any earlier spacelike Cauchy surface (e.g., slices preceding the formation of the hole). We show that these requirements exclude a large set of semiclassical spacetime configurations from the Hilbert space of quantum gravity. In particular, the highest entropy configurations, which account for almost all of the volume of semiclassical phase space, would not have quantum counterparts, i.e. would not correspond to allowed states in a quantum theory of gravity.

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