The Time Lords often used time distortions to project thoughts into other individuals across time. This was used once on Schmidt while the the Doctor was trapped on a German U-Boat. Commander Vansell used Schmidt to try and kill the Doctor. (AUDIO: The Sirens of Time)
Cyber-Technology could detect the Doctor's TARDIS by registering the time distortion it created. (TV: Attack of the Cybermen) The Sixth Doctor had a tracking device for time distortions, which he was able to track the Rani with. (TV: The Mark of the Rani)
The theory of relativity suggested that, if one travelled faster than the speed of light, time distortion would cause them to arrive at their destination before they'd left their starting point. (PROSE: The Stones of Blood)
Behind the scenes Edit
Time distortions in the Time Vortex act as obstacles in the first and last levels of the online game Doctor In A Dash where, as with all levels, the Doctor's TARDIS (the player) races against a Dalek flying saucer, a Judoon rocket, and a Slitheen craft to find a Space-Time Manipulator.