Causal sites as quantum geometry
广义相对论与量子宇宙学
2009-11-10 v2 范畴论
摘要
We propose a structure called a causal site to use as a setting for quantum geometry, replacing the underlying point set. The structure has an interesting categorical form, and a natural "tangent 2-bundle," analogous to the tangent bundle of a smooth manifold. Examples with reasonable finiteness conditions have an intrinsic geometry, which can approximate classical solutions to general relativity. We propose an approach to quantization of causal sites as well.
引用
@article{arxiv.gr-qc/0410104,
title = {Causal sites as quantum geometry},
author = {J. Daniel Christensen and Louis Crane},
journal= {arXiv preprint arXiv:gr-qc/0410104},
year = {2009}
}
备注
21 pages, 3 eps figures; v2: added references; to appear in JMP