A more plausible but unprovable option is that we are close to the center of a big void (the density of the matter in our neighborhood is much lower than outside the observable universe). So the higher mass concentration attracts objects in our neighborhood giving the impression of an accelerating expansion. The problem with this theory are that we would have to be almost at the center of this bubble of almost nothing (so the notion that earth is not in a special position is lost) and that if spacetime is not expanding we cannot explain why very distant galaxies recede from us faster than light. FTL travel though spacetime should be impossible but spacetime expanding faster than light is.
If we were inside a universe-sized black hole, would we be able to tell? Can we experimentally distinguish a black hole universe from a not-black-hole universe?
Fascinating point!
Time stretches beyond the ability of life to survive in both directions. Nobody will be around to be scared.