Relativity and Cosmology

    

Multifractal Modeling of Black Hole Thermodynamics

Authors: Ervin Goldfain

The gravitational dynamics of many-body systems displays the properties of Hamiltonian chaos. It is known that multifractals define the behavior of Hamiltonian chaos in phase space. They represent collections of self-similar sets whose 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.

Comments: 10 Pages.

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[v1] 2022-04-11 09:55:52

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