Intersecting Connes Noncommutative Geometry with Quantum Gravity

Details Intersecting Connes Noncommutative Geometry with Quantum Gravity Intersecting Connes Noncommutative Geometry with Quantum Gravity

2006-01-18

arxiv.org/abs/hep-th/0601127v1

Int.J.Mod.Phys.A22:1589-1603,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures

Scientific paper

10.1142/S0217751X07035306

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.

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