I love these temporal debates with Christopher. He's so dogmatic!
Dogma is a matter of belief or ideology. I'm merely describing what the physics says, which is not a matter of either of those things.
However, it's only opinion to say that what canon has said is inept and so MUST be changed your your own personal theory. I will concede that it has been very inconsistent and inept mind you.
Actually there's a lot about it that's very consistent. I was surprised at how well it held together when I researched Watching the Clock -- and how much of it could be more or less reconciled with actual theory.
Theoretical physics is still theoretical and different physicists still argue different temporal theories. Nobody can say that one is definitely right at this point.
As someone who's actually researched the physics, I can tell you that's not true. Physics is about building models based on observation and extrapolating predictions from known theory. Our theories of time and causality are grounded in two of the most solidly confirmed theories in all of physics: relativity and quantum mechanics. The conclusions are based in mathematics, derived from the equations of those theories. And while there are certainly predictions that haven't been tested yet, I don't see a lot of argument or lack of consensus among the physicists theorizing about time travel or alternate quantum histories.
In terms of Trek, if you believe in branching then the act of going back in time plops something new in the pre-existing timeline. The timeline can't branch until you go back so it isn't possible to have a pre-destination paradox using branching theory as far as I can see.
That doesn't follow. No, it can't branch until you go back, but that doesn't mean it must branch if you go back. If you drive past a crossroad, then reverse and go back to before the intersection, you can choose to turn onto a different road the second time, but you can also choose to go forward again along the same road you took before. That option remains along with the others.
Once you have gone back, you can only move forward in the new timeline (like Sisko/Bell as opposed to Data's head).
No, you can move forwrd into whatever timeline results from your actions. If your actions contradict your own history, then you move into a different timeline. If your actions promote your own history, then you continue in the original one.