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Do Black Holes have Singularities?
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There is no proof that black holes contain singularities when they are generated by real physical bodies. Roger Penrose claimed sixty years ago that trapped surfaces inevitably lead to light rays of finite affine length (FALL's). Penrose and Stephen Hawking then asserted that these must end in actual singularities. When they could not prove this they decreed it to be self evident. It is shown that there are counterexamples through every point in the Kerr metric. These are asymptotic to at least one event horizon and do not end in singularities.
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Cited by 1 Pith paper
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Complementarity of Gravitational Collapse (I) Origin of the Bekenstein-Hawking Entropy
The paper claims black hole entropy arises from counting quantum states of collapsing dust shells, with Schwarzschild and Lemaitre coordinates giving complementary views of the same horizonless interior.
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