I have been pondering a question in my head. If Space and Time are infinite, then does that mean that Nietzsche's Eternal Return theory is true in the way that my life would recur, that when 'I' ('I' being the obvious fact that for me I see the world in first-person) die, 'I' will immediately be alive again?
For example, if the universe and/or time is infinite, then there would be exact copies of earth, histories, and therefore me an infinite number of times.
The question is would I be experiencing the world as those copies in the same way as I am experiencing the world as this version of me (and if the universe and/or time is infinite, then this me could be one of several copies)? Basically if the me experiencing the world in the first-person view is made of physical matter, how would a replica of me with the same properties that I have with my first-person existence not be a new person? Basically imagine that we brought in a future replica of me with the exact same properties into the room while I am still alive, would the replica of me see through my eyes and would I see through the eyes of the replica? Wouldn't this replica be just like other people? (Other people obviously cannot see through the eyes of each other) and therefore a new individual and not 'me'?
Therefore how would Space and/or Time make Nietzsche's Eternal Return theory true?