Quaternion-Loop Quantum Gravity
General Relativity and Quantum Cosmology
2009-11-05 v3
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.
Keywords
Cite
@article{arxiv.0809.2916,
title = {Quaternion-Loop Quantum Gravity},
author = {M. D. Maia and S. S. e Almeida Silva and F. S. Carvalho},
journal= {arXiv preprint arXiv:0809.2916},
year = {2009}
}
Comments
5 pages, latex, no figures. Improved pdf. To appear in the Foundations of Physics