Within stochastic semiclassical gravity, a trade-off exists between the stochastic variance of black hole entropy change and the number of infalling photons encoding which-path information.
How Wrinkled is the Surface of a Black Hole?
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abstract
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.
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2026 1verdicts
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Trade-off Relation for Black Hole Entropy Fluctuations
Within stochastic semiclassical gravity, a trade-off exists between the stochastic variance of black hole entropy change and the number of infalling photons encoding which-path information.