Kaluza-Klein Aspects of Noncommutative Geometry
arXiv:1510.03915
Abstract
Using some elementary methods from noncommutative geometry a structure is given to a point of space-time which is different from and simpler than that which would come from extra dimensions. The structure is described by a supplementary factor in the algebra which in noncommutative geometry replaces the algebra of functions. Using different examples of algebras it is shown that the extra structure can be used to describe spin or isospin.
13 pages, published in Differential Geometric Methods in Theoretical Physics, A. I. Solomon, ed., pp. 243--252. World Scientific Publishing, 1989