  recent theoretical results show the existence of arbitrary speeds ($0\leq v
<\infty$) solutions of the wave equations of mathematical physics. Some recent
experiments confirm the results for sound waves. The question arises naturally:
What is the appropriate spacetime model to describe superluminal phenomena? In
this paper we present a spacetime model that incorporates the valid results of
Relativity Theory and yet describes coherently superluminal phenomena without
paradoxes.
