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You replied to a comment where I was discussing the scenario where you hover a certain distance above the event horizon. In this scenario you see external time passing at a certain fixed rate. As the distance goes to zero, this rate goes to infinity.
Here's a crazy idea: the Void type in Haskell represent False in logic, but it's not empty--it contains bottom, which is a never ending computation. So we cannot prove False in finite time. But if we fall into the black hole, we'll see the proof of False when crossing the horizon
Not only physics breaks down inside a black hole--logic does too!
This should tell you something about the soundness of the idea of black holes
Bit bemused by this. When I look at a Penrose diagram for a Schwarzshild spacetime I don't see any route into a black hole where I get to see infinitely far into the future
You don't get to see infinitely far into the future if you fall into a black hole. But that's not what we're talking about. We're talking about hovering a tiny bit over the horizon. Gravitational time dilation goes to infinity as you approach the horizon.
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