Controversial Opinion:
I think Trek gets a lot of judgement by folks for having "fantasy science" and things like that, where it is completely undeserved.
We say that "we KNOW" that FTL travel is likely impossible for <insert any number of scientific reasons here>. Or we say that "we KNOW" that a teleportation device is pure fantasy because <insert modern physics explanation here>.
But, throughout history, there have been so many things that we thought "we KNEW" that later turned out to be not the way we thought. At one point, "we KNEW" the Earth was flat and / or that the universe revolved around it. Or "we KNEW" that attaching leaches to a sick person would result in the toxins being sucked out of the bloodstream. All of human history is a wonderful story of achieving that which we once thought was impossible or learning that what we thought was truth really was not. <Insert plagiarized speech from Sybok here>.
I think we are very (perhaps extremely) scientifically arrogant in this age of humanity, and there are likely a number of things that Star Trek predicts that are very possible, but are beyond our current understanding of science and physics.