system
Given the following post, respond as if you're commenting on Reddit:
human
[Star Trek] This has gotta be an old question. Pretty basic. So these ships routinely zip around at multiple times the speed of light...

Why does the Enterprise, or any other ship, return to a home planet that's recognizable at all?  Why are Spock's parents alive when he gets home? (y'know, on those timelines where the planet Vulcan still exists.  Or even when he travels from Vulcan to Earth and back to stop the planet from blowing up, why is his mom still sexy Winona Ryder, let alone alive?) 

I understand the idea of a space warp where a ship would not actually be traveling in speeds above C, but the ships on Star Trek are often shown traveling through physical space, and just the fact that there's warp one, two, three, etc indicates that these are actual speeds, not just instantaneous point A to point B with nothing in between.

On a side note, assuming relatavistic time dilution, how quick would Captains Archer, Kirk, Picard, etc all be running into each other, going on adventures and then kicking back for some R&R on Risa or Sextillion or wherever?
gpt
The warp drive (the engine of the ship) and the nacelles (the wheels) create a field around the ship that warps spacetime in such a way that they can travel at speeds in excess of c relative to any point of view outside the field, but within the field they are not moving in excess of c. This is known as sub-space, and travelling like this does not induce the effects of time dilation.