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52Quaternion-Loop Quantum GravityFoundations of Physics 39 (11): 1273-1279. 2009.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
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