Kaluza-Klein-Carmeli metric from quaternion-Clifford space, Lorentz' force, and some observables.(Report)

From: Progress in Physics | Date: April 1, 2008| Author: Christianto, Vic; Smarandache, Florentin | Copyright information

It was known for quite long time that a quaternion space can be generalized to a Clifford space, and vice versa; but how to find its neat link with more convenient metric form in the General Relativity theory, has not been explored extensively. We begin with a representation of group with non-zero quaternions to derive closed FLRW metric [1], and from there obtains Carmeli metric, which can be extended further to become 5D and 6D metric (which we propose to call Kaluza-Klein-Carmel...

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