More Star Trekish . . .
Well, a bit more like the Sherlock Holmes episode of "Star Trek: the Next Generation," where Moriarty figures out the Enterprise's holo-deck and takes over the bridge -- or possibly the "Dyson Sphere" episode, when Geordy finds that, to save themselves, a shipwrecked Captain Montgomery Scott and a colleague had managed to beam themselves into a Mobius loop program, where they remained for nearly 100 years in a dying ship's transporter system.
Pretty cool stuff.