3.) The negative energy particle is capture by the hole and the positive energy particle escapes to infinity.
Iím having a lot of trouble understanding the above. If one of the particles has negative energy then why does energy have to be borrowed from the vacuum? It would seem that +E -E equals a net zero energy requirement. Why is any borrowing of energy via the HUP necessary?
Why does the negative energy particle necessarily get captured by the BH? It would seem that either particle would have an equal probability of being captured.