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A black hole is a region of spacetime from which nothing can escape. More formally, the future light cone of any observer within the black hole is completely contained in the black hole, and the black hole region is not within the past light cone of any observer that goes to spatial infinity in an infinite amount of time.
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Smallest possible black hole containing any information?
My apologies for the meandering nature of this question. Using some back-of-the-envelope numbers:
Planck length ≈ $10^{-35}$ m
Planck area ≈ $10^{-70}$ m
Radius of a black hole with a surface area o …