Quaternion-Loop Quantum Gravity

Details Quaternion-Loop Quantum Gravity Quaternion-Loop Quantum Gravity

2008-09-17

arxiv.org/abs/0809.2916v3

Found.Phys.39:1273-1279,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, latex, no figures. Improved pdf. To appear in the Foundations of Physics

Scientific paper

10.1007/s10701-009-9350-5

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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