Exotic smoothness, noncommutative geometry and particle physics

Details Exotic smoothness, noncommutative geometry and particle physics Exotic smoothness, noncommutative geometry and particle physics

1994-11-21

arxiv.org/abs/hep-th/9411151v2

Int.J.Theor.Phys. 35 (1996) 2075-2084

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, pure LaTeX

Scientific paper

We investigate how exotic differential structures may reveal themselves in particle physics. The analysis is based on the A. Connes' construction of the standard model. It is shown that, if one of the copies of the spacetime manifold is equipped with an exotic differential structure, compact object of geometric origin may exist even if the spacetime is topologically trivial. Possible implications are discussed. An $SU(3)\otimes SU(2)\otimes U(1)$ gauge model is constructed. This model may not be realistic but it shows what kind of physical phenomena might be expected due to the existence of exotic differential structures on the spacetime manifold.

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