Recover (Re-Embed) Information-Generating Processes (e.g., the Minds) of the Past Into the Future.
Counteract entropy to reverse time
Evolve intelligence, and hope that it will eventually reverse time.
Life is fundamentally extropic in nature, in that it preserves the information that is the most useful for counteracting entropy (or surviving under the flow of time). One could fathom an extremely long-term hope for super-intelligence to eventually becoming so good at counteracting entropy that it reverses the flow of time, so that the people and information that was lost in history, becomes available again. However, it might be as hard as for information to escape from a black hole. The “present time” is like an event horizon past which information becomes irretrievable. A super-intelligence could be our hope in escaping from the "black hole" of loss of information, - make information of the past, present, future universally accessible.