Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I

@article{Chamseddine2010NoncommutativeGA,
title={Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I},
author={A. Chamseddine and A. Connes},
journal={arXiv: High Energy Physics - Theory},
year={2010}
}

We examine the hypothesis that space-time is a product of a continuous four-dimensional manifold times a finite space. A new tensorial notation is developed to present the various constructs of noncommutative geometry. In particular, this notation is used to determine the spectral data of the standard model. The particle spectrum with all of its symmetries is derived, almost uniquely, under the assumption of irreducibility and of dimension 6 modulo 8 for the finite space. The reduction from the… Expand