Fully developed incompressible fluid turbulence is largely considered as the
most important unsolved problem of classical physics.
Most fluid motions in nature at all scales are turbulent, yet despite centuries of
research, we still lack an analytical description and understanding of fluid
flows in the non-linear regime. Experimental and numerical data suggest that
turbulence at the inertial range of scales reaches a steady state that exhibits
statistical homogeneity and isotropy and is characterized by universal scaling
exponents. We will propose a conceptually new viewpoint inspired by black
hole dynamics and construct a field theory geometrization of turbulence.
Within this framework we will derive an exact analytical formula for the inertial
range longitudinal anomalous scalings in agreement with the available
numerical and experimental data. We will present new predictions of the