Mathematical structure of loop quantum cosmology
广义相对论与量子宇宙学
2011-05-05 v4 高能物理 - 理论
数学物理
math.MP
摘要
Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity. However, the precise mathematical structure underlying loop quantum cosmology and the sense in which it implements the full quantization program in a symmetry reduced model has not been made explicit. The purpose of this paper is to address these issues, thereby providing a firmer mathematical and conceptual foundation to the subject.
引用
@article{arxiv.gr-qc/0304074,
title = {Mathematical structure of loop quantum cosmology},
author = {Abhay Ashtekar and Martin Bojowald and Jerzy Lewandowski},
journal= {arXiv preprint arXiv:gr-qc/0304074},
year = {2011}
}
备注
29 pages, v2: minor corrections, v3: remark added in appendix