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Yang-Mills field from quaternion space geometry, and its Klein-Gordon representation.
From:
Progress in Physics
| Date:
July 1, 2007| Author:
Yefremov, Alexander; Smarandache, Florentin; Christianto, Vic
| COPYRIGHT 2007 Progress in Physics. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group.Copyright information
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Analysis of covariant derivatives of vectors in quaternion (Q-) spaces performed using Q-unit spinor-splitting technique and use of SL(2C)-invariance of quaternion multiplication reveals close connexion of Q-geometry objects and Yang-Mills (YM) field principle characteristics. In particular, it is shown that Q-connexion (with quaternion non-metricity) and related curvature of 4 dimensional (4D) space-times with 3D Q-space sections are formally equivalent to respectively YM-field po...
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