Quantum event horizon?
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A limit to the size of the horizon comes from the equality of the Schwarzschild radius and the (reduced) Compton wavelength.
When the black hole is so small, quantum fluctuation are important and the horizon is not a well defined concept. Remarkably, equating the two quantities select the minimum possible mass for a well defined black hole: the Planck mass.
Therefore the minimum length for the horizon is approximately the Planck length.
By the way, many recent quantum gravity approach suggest that at such scale the space-time picture is not a good one anymore, and it should be replaced by something more fundamental.
When the black hole is so small, quantum fluctuation are important and the horizon is not a well defined concept. Remarkably, equating the two quantities select the minimum possible mass for a well defined black hole: the Planck mass.
Therefore the minimum length for the horizon is approximately the Planck length.
By the way, many recent quantum gravity approach suggest that at such scale the space-time picture is not a good one anymore, and it should be replaced by something more fundamental.
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