Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space‡
نویسنده
چکیده
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)× SU(2)×SU(3) group as parts of the generalized spin connection of the C-space.
منابع مشابه
Spin Gauge Theory of Gravity in Clifford Space: A Realization of Kaluza-Klein Theory in 4-Dimensional Spacetime
A theory in which 4-dimensional spacetime is generalized to a larger space, namely a 16-dimensional Clifford space (C-space) is investigated. Curved Clifford space can provide a realization of Kaluza-Klein theory without a need of adding extra dimensions to the underlying spacetime. A covariant Dirac equation in curved C-space is explored. The generalized Dirac field is assumed to be a polyvect...
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