Bekenstein-Hawking entropy from a phenomenological membrane

TL;DR

This paper demonstrates that a quantized membrane near a black hole horizon, with specific conditions, reproduces the Bekenstein-Hawking entropy, linking membrane properties to black hole thermodynamics.

Contribution

It shows that a perturbatively quantized membrane at the horizon can account for black hole entropy under certain conditions.

Findings

Membrane entropy equals Bekenstein-Hawking entropy.

Horizon surface plus one Planck unit is critical.

Membrane temperature matches Hawking temperature.

Abstract

It is pointed out that the entropy of a membrane which is quantized perturbatively around a background position of fixed radius in a black hole spacetime is equal to the Bekenstein-Hawking entropy, if 1) the membrane surface is the horizon surface plus one Planck unit, and 2) its temperature is the Hawking temperature. (This is a comment on gr-qc 9411037.)