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He did not collect evidence. He simply proposed a "what if" then solved the equations of general relativity and quantum mechanics to find out what would happen in such a situation. The results of that analysis are his theories of microscopic black holes that evaporate and eventually explode.

His theories have no effect at all on black holes that formed from stars, they don't evaporate.

Note: this is exactly what Einstein did when he developed the theories of relativity. He had no evidence, he just proposed a "what if" then determined what would happen in that situation. It took others years to collect the evidence to show those predictions (strange as they were) to be correct.

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