Scaling phenomena in gravity from QCD

We present holographic arguments to predict properties of strongly coupled gravitational systems in terms of weakly coupled gauge theories. In particular we relate the latest computed value for the Choptuik critical exponent in black hole formation in five dimensions, γ5D=0.412±1%, to the saturation exponent of four-dimensional Yang-Mills theory in the Regge limit, γBFKL≃0.410.