International Journal of Theoretical Physics

, Volume 35, Issue 10, pp 2075-2083

First online:

Exotic smoothness, noncommutative geometry, and particle physics

  • J. SładkowskiAffiliated withInstitute of Physics, University of Silesia

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


We investigate how exotic differential structures may reveal themselves in particle physics. The analysis is based on 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, a compact object of geometric origin may exist even if the spacetime is topologically trivial. Possible implications are discussed. AnSU(3) ⊗SU(2) ⊗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.