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arxiv: 0809.2916 · v3 · submitted 2008-09-17 · 🌀 gr-qc

Quaternion-Loop Quantum Gravity

classification 🌀 gr-qc
keywords quantumgravityquaternioncurvaturedescribeddimensionalenergygauge
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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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