  Our main result is that chaos in dimension $n+1$ is a one-dimensional
geometrical object embedded in a geometrical object of dimension $n$ which
corresponds to a $n$ dimensional object which is either singular or
non-singular. Our main result is then that this chaos occurs in the first case
as either on an isolated or non-isolated singularity. In the first case this
chaos is either boundary chaos or spherical chaos which is what happens also in
the non-singular case. In the case of an isolated singular geometry one has
chaos which can either be boundary, spherical or tubular chaos. We furthermore
prove that the prime numbers display quantum behaviour.
