1211.3012 (T. Asselmeyer-Maluga et al.)

Quantum Geometry and Wild embeddings as quantum states    [PDF]

T. Asselmeyer-Maluga, J. Krol

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.

View original: http://arxiv.org/abs/1211.3012