A fundamental equation for Supermassive Black Holes

TL;DR

This paper presents a theoretical model linking supermassive black hole mass to galaxy properties through angular momentum transformation, predicting a new scaling law confirmed by data.

Contribution

It introduces a novel theoretical framework connecting black hole mass with galaxy parameters via angular momentum conversion, unifying various observed correlations.

Findings

Predicted a new relation: $M_bh \,\propto\ R_e \sigma^3$

Confirmed the relation with experimental data

Provides a basis to understand other scaling laws

Abstract

We developed a theoretical model able to give a common origin to the correlations between the mass of supermassive black holes and the mass, velocity dispersion, kinetic energy and momentum parameter of the corresponding host galaxies. Our model is essentially based on the transformation of the angular momentum of the interstellar material, which falls into the black hole, into the angular momentum of the radiation emitted in this process. In this framework, we predict the existence of a relation of the form $M_bh \propto R_e \sigma^3$, which is confirmed by the experimental data and can be the starting point to understand the other popular scaling laws too.