Quaternion-Loop Quantum Gravity
arXiv:0809.2916 · doi:10.1007/s10701-009-9350-5
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