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Quaternion-Loop Quantum Gravity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 16 Sep 2009Embargo end date: 01 Jan 2008Publisher:Springer Science and Business Media LLCJournal:Foundations of Physics, volume 39, pages 1,273-1,279 (issn: 0015-9018, eissn: 1572-9516,

Authors: F. S. Carvalho; S. S. e Almeida Silva; Marcos Duarte Maia;

doi: 10.1007/s10701-009-9350-5 , 10.48550/arxiv.0809.2916

arXiv: http://arxiv.org/abs/0809.2916

Quaternion-Loop Quantum Gravity

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Abstract

It is shown that the Riemannian curvature of the 3-dimensional hypersurfaces in space-time, described by the Wilson loop integral, can be represented by a quaternion quantum operator induced by the SU(2) gauge potential, thus providing a justification for quaternion quantum gravity at the Tev energy scale.

5 pages, latex, no figures. Improved pdf. To appear in the Foundations of Physics

Related Organizations

University of Brasília
Brazil

Keywords

FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

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