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arxiv: hep-th/0412255 · v3 · submitted 2004-12-21 · ✦ hep-th · gr-qc

Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space

classification ✦ hep-th gr-qc
keywords c-spacedimensionsextratheorycliffordcurvedkaluza-kleinspace
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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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