Natural origin of SO3-spinors in an eight-dimensional Kaluza theory exhibiting an additional U1×SU2 internal symmetry.

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Supergravity

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The higher-dimensional spaceM 4×S 1×S 3 (M 4 = Minkowski space) is assumed. The symmetry group ofS 3 isSO 4 ≃SU 2×SU2 “Gravitational waves” produce a symmetry breaking so thatSO 3, rotations inM 4 are linked with one of theSU 2. Certain components of the metrical tensor ofM 4×S 1×S 3, appear then as spinor fields.

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