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.
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Maia, M.D., e Almeida Silva, S.S. & Carvalho, F.S. Quaternion-Loop Quantum Gravity. Found Phys 39, 1273 (2009). https://doi.org/10.1007/s10701-009-9350-5
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DOI: https://doi.org/10.1007/s10701-009-9350-5