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A quantum bound on the compactness
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We present a simple quantum description of the gravitational collapse of a ball of dust which excludes those states whose width is arbitrarily smaller than the gravitational radius of the matter source and supports the conclusion that black holes are macroscopic extended objects. We also comment briefly on the relevance of this result for the ultraviolet self-completion of gravity and the corpuscular picture of black holes.
Forward citations
Cited by 2 Pith papers
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Quantum dust cores of rotating black holes
Quantizing geodesic motion of dust particles in rotating black hole geometries produces many-body ground states whose core size and effective interior geometry depend on angular momentum.
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Bounded compactness from G(E)UP
The generalized uncertainty principle bounds the compactness of any object much heavier than the Planck mass by about 1/α, and the existence of black holes forces the GUP parameter to satisfy α ≲ 2.
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