Symmetry and entropy of black hole horizons

Details Symmetry and entropy of black hole horizons Symmetry and entropy of black hole horizons

2004-09-05

arxiv.org/abs/hep-th/0409056v3

Nucl.Phys. B744 (2006) 1-13

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 1 figure, some criticisms of the result are answered

Scientific paper

10.1016/j.nuclphysb.2006.02.045

We argue, using methods taken from the theory of noiseless subsystems in quantum information theory, that the quantum states associated with a Schwarzchild black hole live in the restricted subspace of the Hilbert space of horizon boundary states in which all punctures are equal. Consequently, one value of the Immirzi parameter matches both the Hawking value for the entropy and the quasi normal mode spectrum of the Schwarzchild black hole. The method of noiseless subsystems thus allows us to understand, in this example and more generally, how symmetries, which take physical states to physical states, can emerge from a diffeomorphism invariant formulation of quantum gravity.

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