Black Hole Entropy from a Highly Excited Elementary String

TL;DR

This paper explores the correspondence between black holes and highly excited strings, calculating black hole entropy via string states and finding agreement with established entropy formulas, including quantum corrections.

Contribution

It demonstrates that the entropy of a black hole can be derived from the density of states of a highly excited string, supporting the black hole-string correspondence.

Findings

Entropy formula matches Bekenstein-Hawking at leading order

Reproduces logarithmic corrections from quantum geometry

Supports the black hole-string correspondence hypothesis

Abstract

Suggested correspondence between a black hole and a highly excited elementary string is explored. Black hole entropy is calculated by computing the density of states for an open excited string. We identify the square root of oscillator number of the excited string with Rindler energy of black hole to obtain an entropy formula which, not only agrees at the leading order with the Bekenstein-Hawking entropy, but also reproduces the logarithmic correction obtained for black hole entropy in the quantum geometry framework. This provides an additional supporting evidence for correspondence between black holes and strings.