Please note that this lemma is pure speculation.
Will time ever end? Will our universe sometime stop expanding, and contract under the force of gravity - a process known as the 'Big Crunch' - and then produce a new Big Bang? QO offers new answers to these questions.
To start off with, QO predicts that quantum time will indeed go on forever. And that the universe will continue to expand forever, because space quanta can only be added, not removed or shrunk. There will be no Big Crunch.
However, this is not as sentient beings will experience it. Sentient beings live in experienced time, not quantum time. Experienced time slows down, relative to quantum time, as more mass is added to the universe. In due course, it will be slowed down so much that eons of quantum time last less than a breath. As the mass of the universe tends to infinity, the speed of experienced time tends toward zero. The amount of experienced time is limited. There will be an end of experienced time.