Holography and entropy bounds in the plane wave matrix model

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.

19 pages; v2: references added

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Cited by in corpus (5)

• Entwinement and the emergence of spacetime
• Nuts and Bolts for Creating Space
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty )$-QGR
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave