Comments on Jacobson's "Entanglement equilibrium and the Einstein equation"

TL;DR

This paper critically examines the assumptions in Jacobson's derivation of Einstein's equations from entanglement entropy using holographic methods, highlighting potential conflicts and discussing possible resolutions.

Contribution

It challenges a key assumption in Jacobson's argument by providing holographic evidence that may conflict with it and explores ways to address this issue.

Findings

Holographic calculations suggest conflicts with Jacobson's assumption

Relevant operators with low conformal dimensions are involved

Potential methods to circumvent the identified conflicts

Abstract

Using holographic calculations, we examine a key assumption made in Jacobson's recent argument for deriving Einstein's equations from vacuum entanglement entropy. Our results involving relevant operators with low conformal dimensions seem to conflict with Jacobson's assumption. However, we discuss ways to circumvent this problem.