Honestly I think of time travels as a trip to a specific point in time and space, your actions could influence such plane, so much that the point where you left from no longer exists or is vastly different.
You exist in whichever point you are, but your past self could not even been born after you altered history.
Of course in this paradigm you could have multiple replicas of yourself if you intervene yourself in past trips.
I read an novel on my language long ago that played with that where the main protagonist trying to save the world from a apocalipse that he does not even remmenber, eradicated everyone if not himself and created a society of time clones with an hierarchy where only the ones on top could travel to epoch point.
Honestly I think of time travels as a trip to a specific point in time and space, your actions could influence such plane, so much that the point where you left from no longer exists or is vastly different.
You exist in whichever point you are, but your past self could not even been born after you altered history.
Of course in this paradigm you could have multiple replicas of yourself if you intervene yourself in past trips.
I read an novel on my language long ago that played with that where the main protagonist trying to save the world from a apocalipse that he does not even remmenber, eradicated everyone if not himself and created a society of time clones with an hierarchy where only the ones on top could travel to epoch point.