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Black hole evaporation rates without spacetime · Around

2011

Black hole evaporation rates without spacetime

Braunstein, Samuel L., Patra, Manas K.

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Verlinde recently suggested that gravity, inertia, and even spacetime may be emergent properties of an underlying thermodynamic theory.

This vision was motivated in part by Jacobson's 1995 surprise result that the Einstein equations of gravity follow from the thermodynamic properties of event horizons.
Taking a first tentative step in such a program, we derive the evaporation rate (or radiation spectrum) from black hole event horizons in a spacetime-free manner.
Our result relies on a Hilbert space description of black hole evaporation, symmetries therein which follow from the inherent high dimensionality of black holes, global conservation of the no-hair quantities, and the existence of Penrose processes.

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See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.107.071302 for background and all proofs

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