 Quote by nrqed
I agree that it does not make much sense seen that way.
But I think that the key point is that we must not think of the situation as "a negative energy state inside a black hole", i.e. two separate entities. Instead, we should think of it as "a black hole with a decreased energy". In other words, quantum fluctuations occur near the even horizon which "borrow" energy from the black hole to create a particle (necessarily of positive energy) outside the black hole, which can sometimes escape to infinity. This way, we never talk about negative energy states (which are unphysical) . What happens is only that quantum fluctuations allow the ``stealing" of energy from the black hole to create particles just outside the event horizon.
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I agree as well that the OP brings up a good point. Although, when you think in terms of your last paragraph, the 'stealing energy concept,' it seems to give no real explanation as to why it happened. It just shows what happened. So, why does this happen is very difficult for me to understand as well.