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Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry - MaRDI portal

Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry (Q1083706)

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scientific article; zbMATH DE number 3977876
Language Label Description Also known as
English
Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry
scientific article; zbMATH DE number 3977876

    Statements

    Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry (English)
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    1987
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    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.
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    symmetry group
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    symmetry breaking
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    spinor fields
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