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Quaternion-Loop Quantum Gravity
Authors:M?D?Maia  S?S?e?Almeida?Silva  F?S?Carvalho
Institution:1.Instituto de Física,Universidade de Brasília,Brasília,Brazil
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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