Regarding warp drives, I'm not actually sure that warping works in lore the same way it does via game mechanics, with being able to see everything as you move.
I seem to recall the old scientific article saying it works a lot more like the MJDs work now, where you blink out of existence in your origin position, then reappear some time later at your destination.
The old scientific article says that warp travel works on a basis of quantum vacuum states.
No, I don't know what that means either.
As in so many things, you can work out what the principle is by finding what works to stop it.
As I understand it, a warp drive functions by sucking energy out from around a ship, leaving the ship very "loosely stuck" in the universe. A useful approach might be to conceptualize a ship in warp as having been cut off from the universe, existing as an isolated pocket. Changing that pocket's position with respect to the rest of the universe is now much easier, and need not involve doing business with such pesky constants as C.
This is the impression I got from reading up on warp scramblers, which function by pumping energy into the "vacuum" envelope the warp drive is trying to create. This also explains why weaker scramblers can be defeated by stronger warp drives, and vice versa-- a stronger scrambler pours more energy in; a stronger warp drive bails more energy out.
Interesting idea. Still vile pseudoscience, but conceptually interesting.