Extreme Astrophysics with Revolutionary Radio Telescopes Against the background of the (mostly) Unchanging Heavens, the universe is punctuated by dramatic explosions and accretion events in which extremes of density, pressure, temperature, magnetic field and space-time curvature are reached which will be forever unattainable in any Earth-bound laboratory. Studying these events allows us to probe both the underlying physics as well as the effect of these massive injections of energy on the surrounding interstellar and intergalactic media. Such events are ubiquitously associated with radio emission, resulting from the interaction of highly-accelerated electrons with magnetic fields. In this talk I will outline how and where in the universe we use radio emission to understand the budget of explosive feedback, and how a new generation of radio telescopes en route to the Square Kilometre Array have the potential to revolutionize our understanding of extreme astrophysics.