Transplanckian Entanglement Entropy

TL;DR

This paper demonstrates that using transplanckian dispersion relations to model quantum gravity effects renders the entanglement entropy of black hole horizons UV finite by suppressing high-energy modes.

Contribution

It introduces a method to compute entanglement entropy with transplanckian dispersion relations, addressing UV divergence issues in quantum gravity models.

Findings

Entanglement entropy becomes UV finite with transplanckian dispersion relations.

High-energy mode suppression is effective in regularizing entropy.

The approach provides a new way to incorporate quantum gravity effects into entropy calculations.

Abstract

The entanglement entropy of the event horizon is known to be plagued by the UV divergence due to the infinitely blue-shifted near horizon modes. In this paper we calculate the entanglement entropy using the transplanckian dispersion relation, which has been proposed to model the quantum gravity effects. We show that, very generally, the entropy is rendered UV finite due to the suppression of high energy modes effected by the transplanckian dispersion relation.