Hydrodynamics, horizons, holography and black hole entropy

Details Hydrodynamics, horizons, holography and black hole entropy Hydrodynamics, horizons, holography and black hole entropy

2011-05-20

arxiv.org/abs/1105.4019v1

Physics

General Physics

Received honorable mention for the Gravity Research Foundation 2011 Essays on Gravitation

Scientific paper

The usual discussions about black hole dynamics involve analogies with laws of thermodynamics especially in connection with black hole entropy and the associated holographic principle. We explore complementary aspects involving hydrodynamics of the horizon geometry through the membrane paradigm. New conceptual connections complementing usual thermodynamic arguments suggest deep links between diverse topics like black hole decay, quantum circulation and viscosity. Intriguing connections between turbulence cascades, quantum diffusion via quantum paths following Fokker- Planck equation and Hawking decay also result from this combination of thermodynamic and hydrodynamic analogies to black hole dynamics.

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