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QUANTUM GEOMETRY AND WILD EMBEDDINGS AS QUANTUM STATES

TORSTEN ASSELMEYER-MALUGA

German Aerospacecenter, Rutherfordstr. 2, D-12489 Berlin, Germany

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and

JERZY KRÓL

University of Silesia, Institute of Physics, ul. Uniwesytecka 4, 40-007 Katowice, Poland

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https://doi.org/10.1142/S0219887813500552Cited by:10 (Source: Crossref)

Abstract

In this paper, we discuss wild embeddings like Alexanders horned ball and relate them to fractal spaces. We build a C*-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 four-dimensional spacetime. We discuss the consequences for cosmology.

Keywords:

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