  In this paper we discuss wild embeddings like Alexanders horned ball and
relate them to fractal spaces. We build a $C^{\star}$-algebra corresponding to
a wild embedding. We argue that a wild embedding is the result of a
quantization process applied to a tame embedding. Therefore quantum states are
directly the wild embeddings. Then we give an example of a wild embedding in
the 4-dimensional spacetime. We discuss the consequences for cosmology.
