%0 Journal Article %T Quaternion-Loop Quantum Gravity %A M. D. Maia %A S. S. e Almeida Silva %A F. S. Carvalho %J Physics %D 2008 %I arXiv %R 10.1007/s10701-009-9350-5 %X 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. %U http://arxiv.org/abs/0809.2916v3