What is the Mathematical Structure of Quantum Spacetime?
General Relativity and Quantum Cosmology
2007-07-02 v1
Abstract
We survey indications from different branches of Physics that the fine scale structure of spacetime is not adequately described by a manifold. Based on the hints we accumulate, we propose a new structure, which we call a quantum topos. In the process of constructing a quantum topos for quantum gravity, we propose a new, operational approach to the problem of the obervables in quantum gravity, which leads to a new mathematical point of view on the state sum models.
Cite
@article{arxiv.0706.4452,
title = {What is the Mathematical Structure of Quantum Spacetime?},
author = {Louis Crane},
journal= {arXiv preprint arXiv:0706.4452},
year = {2007}
}