Possibility of Hypercomputation from the Standpoint of Superluminal Particles

Abstract

In mathematics and computer science, an accelerated Turing machine is a hypothetical computational model
related to Turing machines, which can perform the countable infinite number of computational steps within a finite
time. But this machine cannot be physically realized from the standpoint of the Heisenberg uncertainty principle,
because the energy required to perform the computation will be exponentially increased when the computational step
is accelerated and it is considered that it is mere a mathematical concept and there is no possibility for its realization
in a physical world. However, by using superluminal particles instead of subluminal particles including photons, it
can be shown that the hypercomputation system which can perform infinite steps of computation within a finite time
length and energy can be realized.