Turkish Journal of Physics

Let the Spin and the Charges Unify




It has been known for 70 years that besides ordinary space time the internal space of spins and charges exists. Modern theories try to unify the part of it belonging to Yang-Mills charges. In the space of d ordinary and d Grassmann coordinates, with d\geq 15 and only four out of d ordinary coordinates decompactified, the charges unify with the spin, requiring the unification of all interactions. The theory suggests that all elementary particles are either fermions in the fundamental representations, with respect to the groups describing charges, or they are bosons in the adjoint representations, with respect to the groups describing charges. Consequently, the Higgs bosons and the supersymmetric partners of the quarks, the leptons and the gauge bosons, are constituent fields.

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