A psychic projection was a psychically generated construct that could become corporeal and interact with the world.

The Malus was able to create psychic projections of soldiers from the English Civil War, and was even able to connect time zones to allow for Will Chandler to cross into 1984. (TV: The Awakening)

The Sixth Doctor used Vilal psychic technology to create a giant version of himself in Time Lord robes and forced the Vilal and the Zerith to end their war. (AUDIO: Quicksilver)