International Journal of Theoretical Physics

, Volume 35, Issue 10, pp 2075–2083

Exotic smoothness, noncommutative geometry, and particle physics

  • J. Sładkowski

DOI: 10.1007/BF02302227

Cite this article as:
Sładkowski, J. Int J Theor Phys (1996) 35: 2075. doi:10.1007/BF02302227


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.

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • J. Sładkowski
    • 1
  1. 1.Institute of PhysicsUniversity of SilesiaKatowicePoland