Multifractal Modeling of Black Hole Thermodynamics

Abstract

The gravitational dynamics of many-body systems is a replica of Hamiltonian chaos, whose phase-space description requires the tools of multifractal analysis. Multifractals are collections of self-similar sets and their distribution of continuous dimensions follows a singularity spectrum. Building on the multifractal characterization of Black Holes (BH), this brief report argues that a) the gravitational mass of BH reflects an attribute of the singularity spectrum, b) shifting the maximum of the singularity spectrum produces effects analogous to the Hawking radiation.