Gauge fields with respect to $d=(3+1)$ in the Kaluza-Klein theories and in the spin-charge-family theory

Abstract

It is shown that in the spin-charge-family theory, as well as in all the Kaluza-Klein like theories, vielbeins and spin connections manifest in $d=(3+1)$ space equivalent vector gauge fields, when space with $d\ge 5$ manifests large enough symmetry. The authors demonstrate this equivalence in spaces with the symmetry of the metric tensor in the space out of $d=(3+1)$ - $g^{\sigma \tau }={\eta }^{\sigma \tau }{f}^2$ - for any scalar function $f$ of the coordinates $x^{\sigma }$, where $x^{\sigma }$ denotes coordinates of space out of $d=(3+1)$. Also the connection between vielbeins and scalar gauge fields in $d=(3+1)$ (offering the explanation for the Higgs's scalar) is discussed.

9 pages, EPJC macros, revised version to be published at EPJC

References in corpus (1)

• Can the spin-charge-family theory explain baryon number non conservation?

Cited by in corpus (3)

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