 One way to construct something like an infinitely accelerating TM would be to make a computing machine that, after performing some computational operations, builds a smaller and faster copy of itself (Davies 2001). The smaller and faster copy will also perform some operations and then build a faster and smaller copy, and so on. Given appropriate assumptions, the resulting series of infinitely shrinking machines will be able to complete an infinite number of computational operations within a finite time, thereby surpassing the power of TMs. While infinitely shrinking machines appear to be consistent with Newtonian mechanics, Davies (2001, 672) points out that the atomic and quantum mechanical nature of matter in our universe makes infinitely shrinking machines physically impossible.