Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space

Details Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space

2004-12-21

arxiv.org/abs/hep-th/0412255v3

Phys.Lett. B614 (2005) 85-95

Physics

High Energy Physics

High Energy Physics - Theory

15 pages; References added, typos corrected

Scientific paper

10.1016/j.physletb.2005.03.052

A theory in which 16-dimensional curved Clifford space (C-space) provides a realization of Kaluza-Klein theory is investigated. No extra dimensions of spacetime are needed: "extra dimensions" are in C-space. It is shown that the covariant Dirac equation in C-space contains Yang-Mills fields of the U(1)xSU(2)xSU(3) group as parts of the generalized spin connection of the C-space.

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