If time approaches zero near the event horizon, doesn't that mean that the events that happen in the event horizon aren't a part of the history of the universe?
Time approaches zero only in one specific frame of reference, a stationary observer distant from
a black hole. From the frame of reference of matter falling into a black hole, no time dilation
happens at all and you fall through the event horizon quite quickly. For a distant outside observer
moving with respect to the black hole, that is a frame of reference intermediate to the two
diametrical cases above.
The 2 extreme frames of reference might seem like a paradox, but the distant stationary
observer frame of reference is an inertial reference frame, and the frame of reference of infalling
matter is an accelerated reference frame due to the strong spacetime curvature, and the 2 are
not interchangeable. The dynamics of black holes are normally described in the accelerated
reference frame, since strong spacetime curvature is the defining characteristic of black holes.
Edited by EJN, 27 April 2019 - 03:09 PM.