On Spectral Triples in Quantum Gravity II

Details On Spectral Triples in Quantum Gravity II On Spectral Triples in Quantum Gravity II

2008-02-13

arxiv.org/abs/0802.1784v1

J.Noncommut.Geom.3:47-81,2009

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 1 figure

Scientific paper

A semifinite spectral triple for an algebra canonically associated to
canonical quantum gravity is constructed. The algebra is generated by based
loops in a triangulation and its barycentric subdivisions. The underlying space
can be seen as a gauge fixing of the unconstrained state space of Loop Quantum
Gravity. This paper is the second of two papers on the subject.

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