Temporal energy was a type of energy sometimes released from the contact of two versions of the same item or individual coming from different time ages. It smelled like roses. (PROSE: Ring Theory)
During the First Omega Crisis, the Time Lords expended an "enormous" quantity of temporal energy, more than they could comfortably afford, in order to transport the Second and then the First Doctor through their time stream to assist the Third Doctor. (TV: The Three Doctors)
During the total event collapse created by the explosion of the TARDIS, the Eleventh Doctor's sonic screwdriver sparked when touched to a later version of itself. (TV: The Big Bang)
When the Fourth Doctor met the Eighth Doctor and attempted to enter the Master's TARDIS, they touched their sonic screwdrivers together, creating enough temporal energy to get inside. (AUDIO: The Light at the End)
When the Master's TARDIS sustained damage from a crash on Gardezza, it began leaking vast amounts of temporal energy, resulting in time distortion. This affected chronometres and the process of ageing in the vicinity of the crashed timeship. (AUDIO: Beneath the Viscoid)
The ship in which the Gentleman had taken up residence became saturated with compressed temporal energy, making walking through it a somewhat unpleasant experiences for time-sensitives. (PROSE: Ring Theory)