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Gravity and a Geometrization of Turbulence: An Intriguing Correspondence

2010/04/15 by Eling, Christopher, Fouxon, Itzhak, Oz, Yaron
#FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1004.2632

Abstract

The dynamics of fluids is a long standing challenge that remained as an unsolved problem for centuries. Understanding its main features, chaos and turbulence, is likely to provide an understanding of the principles and non-linear dynamics of a large class of systems far from equilibrium. We consider a conceptually new viewpoint to study these features using black hole dynamics. Since the gravitational field is characterized by a curved geometry, the gravity variables provide a geometrical framework for studying the dynamics of fluids: A geometrization of turbulence.

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