system
Given the following post, respond as if you're commenting on Reddit:
human
[Star Trek] Does the general public know that time travel is a thing? If so, what are the philosophical implications of everyone knowing that they live in a deterministic universe with no free will?

Like, what was the official story told to the average Federation citizen about how Captain Kirk and his crew managed to find a bunch of whales to call off the alien probe? Gillian Taylor presumably lived happily ever after in the future, but did the Federation leadership allow her to tell the real story of where she came from? 

I can't imagine that the existence of time travel is something any government would want the general public to know about.
gpt
TNG *Parallels* (plus the Mirror Universe and TNG's *Yesterday's Enterprise*, and the entire Abramsverse) implies an infinite multiverse of branching decisions, and DS9's *Trials and Tribblations* shows us that the Federation even employs rather droll and mundane HR-like officers who debrief crewmen after (or technically before, depending on the nature of the time travel) incidents of encountering time travel or temporally-related artifacts like the Bajoran spheres, so knowledge of it is likely common, though more applicable knowledge on *how* to do so is probably highly classified. 

How then does this gel with the 29th century Federation timeships and temporal police trying to keep the timeline on track? Well, the existence of a multiverse which branches with each of our decisions (TNG *Parallels*) implies that for every universe where the time cops stop something bad from happening to what they perceive as their distant past, there is another branch where they failed to intervene.