Hydrodynamics, horizons, holography and black hole entropy

TL;DR

This paper explores the deep connections between black hole thermodynamics, horizon hydrodynamics, and holography, revealing new insights into black hole decay, quantum diffusion, and turbulence through analogies with fluid dynamics.

Contribution

It introduces novel conceptual links between black hole entropy, horizon hydrodynamics, and quantum phenomena, extending the membrane paradigm with new interdisciplinary insights.

Findings

Links between black hole decay and quantum circulation.

Connections between turbulence cascades and Hawking decay.

Hydrodynamic analogies suggest new perspectives on black hole entropy.

Abstract

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.