FireAP said:
So basically what you're saying is...
Umm, no, I'm not saying that
There are speculative GR space time geometries that allow for directed time travel, including into the past, but none of them appear to be congruent with how our universe is configured. It is not entirely confirmed because reconciling GR with QM
may allow for that, but while I'd love for it to be possible, I'd not bet money on it being practical and no less than led Stephen Hawking suggested a
chronology protection conjecture that bakes explicit time travel prevention into the laws of the universe.
A multiverse is a different beast entirely, but you have to keep in mind that the concept is fully-fledged
speculation. So, yes, it is possible that an event now would trigger branching alternative timelines in the fashion you describe. There is a Many Worlds Interpretation (MWI) of quantum mechanics that is (somewhat) along these lines. PF has some fun discussions about MWI in the QM section, but it's not clear to me that this branching creates any opportunity for time travel. Perhaps, if there is an infinite number of branches and you can figure out a method to travel between the branches, then you could conceivably
'kind of ' travel in time by selecting a branch that matches the past you want to reach, though how you would find that specific past in an infinite number of branches is a vexing question.