Emergence of Riemannian geometry and the massive graviton
General Relativity and Quantum Cosmology
2015-06-18 v2
Abstract
We overview a new mechanism whereby classical Riemannian geometry emerges out of the differential structure on quantum spacetime, as extension data for the classical algebra of differential forms. Outcomes for physics include a new formula for the standard Levi-Civita connection, a new point of view of the cosmological constant as a very small mass for the graviton of around ev, and a weakening of metric-compatibility in the presence of torsion. The same mechanism also provides a new construction for quantum bimodule connections on quantum spacetimes and a new approach to the quantum Ricci tensor.
Keywords
Cite
@article{arxiv.1401.0673,
title = {Emergence of Riemannian geometry and the massive graviton},
author = {Shahn Majid},
journal= {arXiv preprint arXiv:1401.0673},
year = {2015}
}
Comments
14 pages, Amslatex, conference proceedings introduction; only fixed a few typos compared to previous version