From a purely empirical standpoint our minds go nowhere. Your whole life is nothing but an unbroken stream of consciousness, you never slept a day in your life. Just because you can wake up, point at a clock and create a story that so-and-so many hours have passed doesn't mean anything.

There might be more time passing for the people who are "awake" during this time, but this is not a problem for the universal mind. It simply squeezes the missing time in there and synchronizes individual minds together again later.

Also interesting: The thought "I was under anaesthesia for 12 hours" is itself an object that appears in consciousness.