Holography and entropy bounds in the plane wave matrix model

TL;DR

This paper investigates how the plane wave matrix model embodies holographic principles, specifically Bekenstein's entropy bound, and predicts a crossover at strong coupling when energy surpasses a certain threshold.

Contribution

It provides evidence that Bekenstein's entropy bound is realized in the plane wave matrix model and discusses implications for holography at strong coupling.

Findings

Bekenstein's entropy bound is manifest in the model

Holographic behavior is consistent with the entropy bound

Predicted crossover at strong coupling when energy exceeds N^2

Abstract

As a quantum theory of gravity, Matrix theory should provide a realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area. We present evidence that Bekenstein's entropy bound, which is related to area differences, is manifest in the plane wave matrix model. If holography is implemented in this way, we predict crossover behavior at strong coupling when the energy exceeds N^2 in units of the mass scale.