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I’ve just watched a lecture on black holes by Leonard Susskind. He states that it takes an infinite amount of time to an outside observer for an object to reach the event horizon. However, a black hole decays due to Hawking radiation in a finite time.

Let's say I go into a supermassive black hole - so I don't get spaghettified by the time I reach the event horizon. As I'm falling closer and closer to the black hole would the Hawking radiation speed up faster and faster to a point where when I reach the event horizon the black hole has fully decayed since it takes an infinite time to an outside observer for me to reach it but a finite amount of time to decay.

Seems weird this would mean no matter can ever reach past the event horizon as it would've already decayed by the time you get there?

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