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