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It's a common myth that somoene falling into a black hole will see the entire history of the universe before they cross the event horizon.

With a Kerr black hole however, it's sort of true. The inner horizon is an infinite blueshift surface meaning that a falling observer will observer the entire history of the universe (until they are vaporized by blue shifted radiation.)

https://jila.colorado.edu/~ajsh/insidebh/rn.html

However when we take into account Hawking radiation, an issue comes up. Hawking radiation gives all black holes a finite lifetime. Shouldn't it be impossible to actually ever cross the inner horizon as a result of the Hawking radiation?

Just to be clear, I’m not talking a about a Schwarzschild black hole, but a Kerr black hole.

blademan9999
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