Lostinworlds

Alright. So I recently asked some authors of these things called The Infinite Loops if I could repost them here. A few have said yes, so expect some fast posts here and there. Enjoy them by the way, these Inge are great!

Lostinworlds

Penny for thoughts, but if someone travels back in time to fix something and they succeed, their timeline is eliminated right? And since the timeline is eliminated, they don't exist because they didn't have to fix the past, which reopens their timeline and a cycle forms. So then, how is it that every time traveling person in comics/tv shows/movies (excluding the Doctor) exists after their timeline is eliminated?