Some ideas are:
- You branch off into another timeline and your actions make no difference to the previous timeline
- You’ve already taken said actions but just didn’t know about it so nothing changes
- Actions taken can have an effect (so you could suddenly erase yourself if you killed your parents)
- Only “nexus” or fixed events really matter, the timeline will sort itself out for minor changes
- something else entirely
Each has Pros and Cons.
I liked what the show Dark did with the first idea. Having a constant move of time, and a fixed "jump distance"is really cool. Each new timelone also has those points, but some just happen to be created or destroyed in your lifetime.
The second seems kinda boring in real life (except for visiting the past) and can get really tricky fast if it would be usable in real life, but in movies it mostly rocks.
Having actions matter is very cool, but sounds dangerous and paradox-y. If not done like in Looper its still fun though (for real, don’t watch that movie) and maybe it even has a fixed flow of time (like the tomorrow war).
What I would want the most and what prevents a lot of paradoxes though is the trope of “getting sent back into your younger body” like in butterfly effect (which got real stupid in the second half with the Jesus hands). But I would still really like that and in the best case with the possibility of going back in time after my death.