Intersecting Connes Noncommutative Geometry with Quantum Gravity
高能物理 - 理论
2010-10-27 v1 广义相对论与量子宇宙学
摘要
An intersection of Noncommutative Geometry and Loop Quantum Gravity is proposed. Alain Connes' Noncommutative Geometry provides a framework in which the Standard Model of particle physics coupled to general relativity is formulated as a unified, gravitational theory. However, to this day no quantization procedure compatible with this framework is known. In this paper we consider the noncommutative algebra of holonomy loops on a functional space of certain spin-connections. The construction of a spectral triple is outlined and ideas on interpretation and classical limit are presented.
引用
@article{arxiv.hep-th/0601127,
title = {Intersecting Connes Noncommutative Geometry with Quantum Gravity},
author = {Johannes Aastrup and Jesper M. Grimstrup},
journal= {arXiv preprint arXiv:hep-th/0601127},
year = {2010}
}
备注
19 pages, 4 figures