Statistical Interpretation of the Bekenstein Entropy for Systems with a Stretched Horizon
Statistical Interpretation of the Bekenstein Entropy for Systems with a Stretched Horizon
For the two-charge extremal holes in string theory we show that the Bekenstein entropy obtained from the area of the stretched horizon has a statistical interpretation as a ``coarse graining entropy'': different microstates give geometries that differ near $r\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$, and the stretched horizon cuts off the metric at $r\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}b$ where …