There is no logicality to inventing a 'beginning' to time, unless you are only speaking of time as a local phenomenon. But we are talking in universals here, so locality does not apply.
Both would be identical periods of "non time" with no internal or external observers/measurers or any physical indicators of change to define time.
Let us suppose that your self awareness existed, alone, in such a non time period. You ceased to exist at one point and then came back into existence at some other point.
Because there are no indicators of time outside your self and you cannot be aware of the time which has /has not passed, that period could be second or a trilllion years. The two periods are identical for all physical purposes. Neither you nor your conscioussness nor anything else in the universe has altered in the tiniest measurable degree. Time has stood still, or rather, has ceased to exist