Entanglement and corrections to Bekenstein-Hawking entropy

TL;DR

This paper investigates how quantum entanglement between inside and outside horizon degrees of freedom leads to corrections in Bekenstein-Hawking entropy, especially when fields are in superpositions, revealing different contributing degrees of freedom.

Contribution

It demonstrates that corrections proportional to fractional powers of area arise from superposed states, highlighting distinct degrees of freedom responsible for entropy corrections.

Findings

Corrections are proportional to fractional powers of area.

Superpositions of ground and excited states cause these corrections.

Different degrees of freedom contribute to entropy corrections than to Bekenstein-Hawking entropy.

Abstract

In this talk, we focus on the corrections to Bekenstein-Hawking entropy by associating it with the entanglement between degrees of freedom inside and outside the horizon. Using numerical techniques, we show that the corrections proportional to fractional power of area result when the field is in a superposition of ground and excited states. We explain this result by identifying that the degrees of freedom contributing to such corrections are different from those contributing to Bekenstein-Hawking entropy.