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Author Aastrup, Johannes ♦ Grimstrup, Jesper M.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2006-01-18
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ General Relativity and Quantum Cosmology ♦ physics:gr-qc ♦ physics:hep-th
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.
Description Reference: Int.J.Mod.Phys.A22:1589-1603,2007
Educational Use Research
Learning Resource Type Article
Page Count 19


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