Quantum Space-time and Classical Gravity
General Relativity and Quantum Cosmology
2009-10-28 v1 High Energy Physics - Theory
Abstract
A method has been recently proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example a version of quantized space-time is considered here. It is found that there is a natural differential calculus using which the space-time is necessarily flat Minkowski space-time. Perturbations of this calculus are shown to give rise to non-trivial gravitational fields.
Cite
@article{arxiv.gr-qc/9607060,
title = {Quantum Space-time and Classical Gravity},
author = {J. Madore and J. Mourad},
journal= {arXiv preprint arXiv:gr-qc/9607060},
year = {2009}
}
Comments
21 pages LaTex