Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry
The higher-dimensional space \(M_ 4\times S_ 1\times S_ 3\) \((M_ 4=Minkowski\) space) is taken. The symmetry group of \(S_ 3\) is \(SO_ 4\sim SU_ 2\times SU_ 2\). ''Gravitational waves'' produce a symmetry breaking so that \(SO_ 3\) rotations in \(M_ 4\) are linked with one of the \(SU_ 2\). Certain components of the metric tensor of \(M_ 4\times S_ 1\times S_ 3\) appear then as spinor fields.
scientific article; zbMATH DE number 3977876