Here’s the blurb from a Scientific American article that I may not get time to read. It’s headed “Could Time End?”
Einstein's general theory of relativity predicts that time ends at moments called singularities, such as when matter reaches the center of a black hole or the universe collapses in a “big crunch.” Yet the theory also predicts that singularities are physically impossible.
A way to resolve this paradox is to consider time's death as gradual rather than abrupt. Time might lose its many attributes one by one: its directionality, its notion of duration and its role in ordering events causally. Finally, time might give way to deeper, timeless physics.