English

Quanta of Geometry and Unification

High Energy Physics - Theory 2017-01-02 v1 General Relativity and Quantum Cosmology

Abstract

This is a tribute to Abdus Salam's memory whose insight and creative thinking set for me a role model to follow. In this contribution I show that the simple requirement of volume quantization in space-time (with Euclidean signature) uniquely determines the geometry to be that of a noncommutative space whose finite part is based on an algebra that leads to Pati-Salam grand unified models. The Standard Model corresponds to a special case where a mathematical constraint (order one condition) is satisfied. This provides evidence that Salam was a visionary who was generations ahead of his time.

Keywords

Cite

@article{arxiv.1606.01189,
  title  = {Quanta of Geometry and Unification},
  author = {Ali H. Chamseddine},
  journal= {arXiv preprint arXiv:1606.01189},
  year   = {2017}
}

Comments

To appear in the Proceedings of Abdus Salam 90th Birthday Memorial meeting, Editors L. Brink, M. Duff and K. Phua, 10 pages