Warp drive

Warp drive was a form of faster-than-light travel. Human ships used warp drive by the 26th century and even into the 51st century.

Nature
There were at least three types of warp drive: "continuum warp", "implicate theory" and "supralight speed with dampers". Toroidal time dilators were components of a warp drive. (TV: Warriors' Gate) The Mistress appeared to believe, as a matter of course, that warp drives functioned by passing through the Space-Time Vortex. (AUDIO: The Choice) The starships used by Earth used a form of warp engine which allowed ships to leave normal space, and enter hyperspace. These ships were vulnerable to "warp smash", where two ships jumped into normal space at the same point, and their atoms merged before annihilating each other. (PROSE: Doctor Who and the Nightmare of Eden)

History
The Tenth Doctor once implied that his TARDIS made use of one. (TV: Fear Her)

The Thirteenth Doctor recalled that she used to hot-wire warp drives as a teenager on weekends, though she quickly noted that in her early life on Gallifrey, there were no teenagers, or weekends. (TV: Ascension of the Cybermen)

Before human life — and all life on Earth for that matter — even began, the Jagaroth created spaceships that used warp drive. The drive could be set up to power 3. However, power 3 would have been suicide if the ship did not have a fully working warp drive. (TV: City of Death)

According to the Twelfth Doctor, human warp drives were developed around the early 22nd century. (AUDIO: Emancipation of the Daleks)

Human ships of the 26th century were powered by anti-matter; the anti-matter was kept inside a stable structure in case of an explosion. Should the navigational computers be tampered with while a ship was in warp drive, it could disintegrate. Warp drive-powered starships were in use up to and possibly beyond the 51st century. (TV: Earthshock, The Girl in the Fireplace)

Warp drive was installed on the freighter XV773 by the kidnappers of Romulus and Remus Sylvest, since the XV class of freighter was never built for it. (TV: The Twin Dilemma)

By 5343, the Harmony and Redemption was capable of cruising at speeds up to "warp factor 12". (TV: The Husbands of River Song)

Porridge stated that his Imperial Flagship could "warp jump" into orbit within seconds of detecting his identification. Indeed, the Imperial Flagship arrived at Hedgewick's World of Wonders and transmatted the survivors of the battle aboard in a matter of ten or so seconds. (TV: Nightmare in Silver)

Cyberfighters were equipped with warp drive. This "Cyber warp tech" was not designed for human use, causing some such as Ryan Sinclair to suffer motion sickness. (TV: Ascension of the Cybermen)

Other universes
In the Federation universe, spacefaring civilisations made use of warp drives to traverse interstellar distances. The vessels of Starfleet were capable of speeds up to Warp Five. This speed was inferior to the Cyber-Fleet's own velocity, prompting the Conduit to offer the Borg Collective's knowledge on warp drives to enhance the Enterprise-D's engines, allowing it to attain much higher warp speeds. (COMIC: Assimilation²)

Warp drives existed in Ecto-Space much as they did in the Mistress and K9's original home universe. However, the Mistress knew that warrior-birds were not equipped with such capabilities. (AUDIO: The Choice)