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arXiv · hep-th/0601127

Intersecting Connes Noncommutative Geometry with Quantum Gravity

Johannes Aastrup·Jesper M. Grimstrup
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Abstract

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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Johannes Aastrup, Jesper M. Grimstrup. 2006-01-18. Intersecting Connes Noncommutative Geometry with Quantum Gravity. https://doi.org/10.1142/s0217751x07035306

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