标题： 黑洞表面的褶皱有多严重？ 显示英文标题

标题： How Wrinkled is the Surface of a Black Hole?

摘要： 我们提供证据表明，在某个临界尺度以下，黑洞的视界强烈褶皱，其形状在临界尺度以下的所有尺度上表现出自相似（“分形”）的波动谱。 这个临界尺度相比黑洞的半径要小得多，但仍然比普朗克尺度大得多。 如果存在这样的波动，可能会解释视界熵的很大一部分。 显示英文摘要

摘要： We present evidence that, below a certain threshold scale, the horizon of a black hole is strongly wrinkled, with its shape manifesting a self-similar (``fractal'') spectrum of fluctuations on all scales below the threshold. This threshold scale is small compared to the radius of the black hole, but still much larger than the Planck scale. If present, such fluctuations might account for a large part of the horizon entropy.