English

Noncommutative Geometry as the Key to Unlock the Secrets of Space-Time

High Energy Physics - Theory 2019-08-20 v1

Abstract

I give a summary of the progress made on using the elegant construction of Alain Connes noncommutaive geometry to explore the nature of space-time at very high energies. In particular I show that by making very few natural and weak assumptions about the structure of the noncommutative space, one can deduce the structure of all fundamental interactions at low energies.

Keywords

Cite

@article{arxiv.0901.0577,
  title  = {Noncommutative Geometry as the Key to Unlock the Secrets of Space-Time},
  author = {Ali H. Chamseddine},
  journal= {arXiv preprint arXiv:0901.0577},
  year   = {2019}
}

Comments

Contribution to a special volume in honor of Alain Connes in occasion of his 60th birthday. To be published in the Proceedings series of the Clay Mathematics Institute. Editors E. Blanchard et al