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Physics  2008 

Quaternion-Loop Quantum Gravity

DOI: 10.1007/s10701-009-9350-5

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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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