Do Wiki:
Warp drive is a faster-than-light (FTL) propulsion system in the setting of many science fiction works, most notably Star Trek. A spacecraft equipped with a warp drive may travel at velocities greater than that of light by many orders of magnitude, while circumventing the relativistic problem of time dilation.
No entanto, a Wikia contradiz isso com uma referência mais autoritária, se não houver detalhes:
In "The Cage", Captain Pike orders the Enterprise to travel at "time warp, factor 7". Instead of traveling through time he simply refers to the normal warp factor. According to Star Trek Maps, the word "time" in that context is only a reference to the normal time dilation that occurs during all warp travel.
No entanto, o Memory Beta contradiz isso com a referência a um livro (que não é canon).
Since spacetime itself is moving and the starship is not actually accelerating, it experiences no time dilation, allowing the passage of time inside the vessel to be the same as that outside the warp bubble. (ST novel: Captain's Blood).