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Intersecting Connes Noncommutative Geometry with Quantum Gravity by Aastrup, Johannes; Grimstrup, Jesper M. is a scholarly article available to read on EtoBox.

What is Intersecting Connes Noncommutative Geometry with Quantum Gravity about?

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.

Author

Aastrup, Johannes; Grimstrup, Jesper M.

Published

2006

Language

EN