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Quaternion-Loop Quantum Gravity

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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.

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Authors and Affiliations

  1. Instituto de Física, Universidade de Brasília, Brasília, 70919-970, DF, Brazil

    M. D. Maia, S. S. e Almeida Silva & F. S. Carvalho

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  1. M. D. Maia
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  2. S. S. e Almeida Silva
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  3. F. S. Carvalho
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Correspondence to M. D. Maia.

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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

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