Quaternion-Loop Quantum Gravity

被引：1

作者：

Maia, M. D. ^{[1
]}

e Almeida Silva, S. S. ^{[1
]}

Carvalho, F. S. ^{[1
]}

机构：

[1] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil

来源：

FOUNDATIONS OF PHYSICS | 2009年 / 39卷 / 11期

关键词：

Loop quantum gravity; Wilson loops; Quaternions; Quantum gravity;

D O I：

10.1007/s10701-009-9350-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1273 / 1279

页数：7

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