Categorical Geometry and the Mathematical Foundations of Quantum General Relativity
General Relativity and Quantum Cosmology
2007-05-23 v2
Abstract
We explore the possibility of replacing point set topology by higher category theory and topos theory as the foundation for quantum general relativity. We discuss the BC model and problems of its interpretation, and connect with the construction of causal sites.
Keywords
Cite
@article{arxiv.gr-qc/0602120,
title = {Categorical Geometry and the Mathematical Foundations of Quantum General Relativity},
author = {Louis Crane},
journal= {arXiv preprint arXiv:gr-qc/0602120},
year = {2007}
}
Comments
Contribution to the Cambridge University Press volume on Quantum Gravity