Foundations of Physics 39 (11):1273-1279 (2009)

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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
Keywords Loop quantum gravity  Wilson loops  Quaternions  Quantum gravity
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DOI 10.1007/s10701-009-9350-5
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