Quaternion-Loop Quantum Gravity

TL;DR

This paper proposes a quaternion-based quantum gravity framework derived from the Riemannian curvature of 3D hypersurfaces, utilizing Wilson loop integrals and SU(2) gauge potentials, applicable at TeV energy scales.

Contribution

It introduces a novel quaternion quantum gravity model linking Riemannian curvature and gauge theory, providing a new perspective at high energy scales.

Findings

Curvature represented by quaternion quantum operators

Connection between Wilson loops and quaternion quantum gravity

Justification for quaternion quantum gravity at TeV energies

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.