Some Unique Constants Associated with Extremal Black Holes

TL;DR

This paper investigates extremal black holes, revealing unique ratios of physical quantities that are expressed in terms of fundamental constants, drawing analogies with condensed matter systems.

Contribution

It introduces specific constants associated with extremal black holes and relates their ratios to fundamental physical constants, expanding understanding of black hole properties.

Findings

Unique ratios of angular momentum to entropy and charge to entropy for extremal black holes.

Ratios expressed in terms of fundamental constants, showing physical analogies.

Insights into black hole microstates and holography implications.

Abstract

In recent papers we had developed a unified picture of black hole entropy and curvature which was shown to lead to Hawking radiation. It was shown that for any black hole mass, holography implies a phase space of just one quantum associated with the interior of the black hole. Here we study extremal rotating and charged black holes and obtain unique values for ratios of angular momentum to entropy, charge to entropy, etc. It turns out that these ratios can be expressed in terms of fundamental constants in nature, having analogies with other physical systems, like in condensed matter physics.