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A TARDIS — sometimes styled Tardis, but also called a TT Capsule or just a timeship — was the primary space-time vehicle used by the Time Lords of Gallifrey
Name
Susan claimed to have invented the acronym "TARDIS" from the phrase "Time And Relative Dimension In Space", (TV: An Unearthly Child) either on her first trip inside such a ship, or while she lived on 1963 Earth. However, one source suggests that the term TARDIS already existed on Gallifrey prior to the Doctor's departure. (MOVIE: Doctor Who: Revelation)
"TT capsule" was an early name for TARDISes, Many years later, some Time Lords like Castellan Spandrell preferred that more generic term, (TV: The Deadly Assassin) with Romana I using the shorter term "capsule". (TV: The Pirate Planet) Others, like the War Chief, (TV: The War Games) Commander Maxil, Damon, Lord President Borusa, (TV: Arc of Infinity) and The Rouge, (TV: Never Mind The Rouge) were perfectly familiar with the "TARDIS" acronym.
Flight
TARDISes usually moved through time and space by "disappearing there and reappearing here," (TV: The Scream) a process known as "materialisation". This was controlled by a component called the dematerialisation circuit. (TV: Terror of the Autons)