I'm actually part way through an interlude that sort of touches on your question. Albeit in my case, I'm looking at alternate canonical versions of the same continuum rather than one single continuum.

Like hS said previously, there could be any number of possible results provided the result made for a good/interesting story. I don't see something bad necessarily occurring unless you start delving into paradox territory.

So, you have Agent A: an original character from Continuum X (let's say it was Middle-earth, for the sake of the following example) who got recruited by the PPC.

Agent A's backstory says that they exist during the events of The Hobbit and that they lived in Laketown at the time it was destroyed. If they were to get a mission into that continuum, during that time, in that location, then they might well meet up with their past self. I think I am following you so far.

So, what happens? Well...there are options.

They could end up dodging their former self while doing the duty in order to avoid a paradox. That could be hilarious.

Or, they could enlist their help in a "come with me if you want to live" style scene. Then they Neuralyze their past self and put them back on course to be in the PPC. Maybe going so far as to push them into a passing plothole and ensuring the stability of the timeline.

Or, the proximity to their former self could be an irresistible pull that threatens to suck them back into the world of their origin.

Or something else entirely, so long as it's funny.


-Phobos