Warp 10

In 24th century warp theory, a warp factor of 10 corresponds to an infinite velocity. Theoretically, a vessel travelling at Warp 10 would occupy all points in the universe simultaneously.

Although considered a theoretical impossibility at the time, Tom Paris of the USS Voyager reached the Warp 10 threshold in 2372, using shuttlecraft Cochrane which was equipped with an extraordinarily rare form of dilithium discovered earlier that year. After it was discovered that such travel induces hyper-evolution, this technology was discontinued after the initial test. (VOY: "Threshold")

Many fans and even Paramount staff (including Rick Sternbach and Brannon Braga) discount the events of "Threshold", due to its severe scientific flaws.

Billions of years before this however The Guardians had developed a vessel capable of literally appearing and dissapearing at any point in the space-time continuum. These ships are the only known vessel to be capable of Warp 10 without the effects of hyper-evolution. (Star Trek: Pioneer: "Future's Past") Kathryn Janeway once made the observation that rumors travel fast on board Voyager. Chakotay agreed with Janeway, quipping at "warp 10." (VOY: "The Voyager Conspiracy")