This is a good question posted. Although the information within the universe is not destroyed, it has in fact changed, so you in turn must have a means or a system to know each direction of change; probably to the smallest quantum level (quarks) to eliminate any uncertainty. Because symmetries should be unchanged from past to present, you in theory should be able to locate the precise position of the past. So to your answer, the data is not stored, you would have to reverse space time to the past position. The hard question is how would this be achieved? Could it be achieved? I say it can't.
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FYI-This is a good question posted. Although the information within the universe is not destroyed, it has in fact changed, so you in turn must have a means or a system to know each direction of change; probably to the smallest quantum level (quarks) to eliminate any uncertainty. Because symmetries should be unchanged from past to present, you in theory should be able to locate the precise position of the past. So to your answer, the data is not stored, you would have to reverse space time to the past position. The hard question is how would this be achieved? Could it be achieved? I say it can't.