Do time travel, parallel timelines, time loop questions fit this site, or is there another SE site which is better suited for those kinds of questions?
Here is my question:
In a recent movie Looper, (spoiler alert) the plot evolves around a time loop that is broken by the main character Joe in the end of the movie.
The main Joe encounters his older self one day, and hears a story of his old timeline (which is now inaccessible due to his older self talking to his younger self right now). In the end, Joe is at the fork, he can either do nothing, and he will live a few more decades, return back in time, and repeat the events of the movie up until the fork, or he can shoot himself to death (which he does), and according to the movie, his older self disappears that instant and never comes back in time again.
But doesn't shooting himself to death make Joe not appear before himself, thus not making him shoot himself? In that case Joe is stuck in another infinite loop — not chasing himself, but shooting himself at the end of the film. Which logic is correct?
Because this question involves a fictional real world mechanic, I don't think it fits
Physics.SE more than it fits
Philosophy.SE, but then this question can have an answer that might satisfy me. Please help me understand if I should post this question here.