So I'm writing a paper about potential methods for reaching faster than light speeds. The first thing that came to mind was warp theory, of course. I've done tons of research on the actual science of it (alcubierre's warp theory, special and general relativity, Einstein's equations concerning light speed, all the works) I guess I'm just fuzzy on how star trek makes warp travel work. I know trek uses diliithium crystals to power warp cores, however, what I've read points to the theoretical use of dark matter. Any thoughts?