  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.
