This seems analogous to the big bang. Perhaps there was something before the big bang but if we can't measure any effects from it then it's irrelevant to us and we say that it doesn't exist.
It's my understanding that measuring "actual" time, which enables motion, requires an increase in entropy. If the universe is in a state where there is no way to increase the entropy further, then it will be impossible to measure time, and thus it might as well not exist.
Then again I'm just a layman so...