Size of Black Holes through Polymer Scaling

TL;DR

This paper models black hole horizons as polymer-like strings, using scaling laws to determine their size and explaining the transition between black hole and string states, including extremal cases.

Contribution

It introduces a polymer-based model for black hole horizons and derives their size through scaling laws, providing a new perspective on black hole-string transitions.

Findings

Derived black hole size using polymer scaling laws

Explained black hole to string state transition

Extended explanation to extremal black holes

Abstract

We imagine the strings on the stretched horizon of any $d$ space-time dimensional black hole to be bits of polymer. Then, proposing an interaction between these bits we obtain the size of the configuration, and thus of the black hole, using the scaling laws. The transition from a typical black hole state to a typical string state has a simple explanation, which also holds for the extremal black holes.