Abstract
All leptons and quarks are united into the Dirac spinor hyperfield constructed over systems of nonassociative postoctonium numbers obtained by the Cayley-Dickson iterative process for octonions. Spontaneously broken G{sub 2}xSU(3){sub L}xU(1) gauge symmetry is formulted and the colour SU(3){sub c} quark symmetry is explained as the unbroken subgroup of G{sub 2}, the broken automorphism group of postoctonium hypernumbers. The right eigenvalues of the electric charges of leptons and quarks (of two generations) are obtained from the requirement of the invariance of trilinear associative form under the phase-transformation. 8 refs.
Citation Formats
Govorkov, A B.
Embedding of leptons and quarks in octonionic structures.
USSR: N. p.,
1990.
Web.
Govorkov, A B.
Embedding of leptons and quarks in octonionic structures.
USSR.
Govorkov, A B.
1990.
"Embedding of leptons and quarks in octonionic structures."
USSR.
@misc{etde_10157406,
title = {Embedding of leptons and quarks in octonionic structures}
author = {Govorkov, A B}
abstractNote = {All leptons and quarks are united into the Dirac spinor hyperfield constructed over systems of nonassociative postoctonium numbers obtained by the Cayley-Dickson iterative process for octonions. Spontaneously broken G{sub 2}xSU(3){sub L}xU(1) gauge symmetry is formulted and the colour SU(3){sub c} quark symmetry is explained as the unbroken subgroup of G{sub 2}, the broken automorphism group of postoctonium hypernumbers. The right eigenvalues of the electric charges of leptons and quarks (of two generations) are obtained from the requirement of the invariance of trilinear associative form under the phase-transformation. 8 refs.}
place = {USSR}
year = {1990}
month = {Dec}
}
title = {Embedding of leptons and quarks in octonionic structures}
author = {Govorkov, A B}
abstractNote = {All leptons and quarks are united into the Dirac spinor hyperfield constructed over systems of nonassociative postoctonium numbers obtained by the Cayley-Dickson iterative process for octonions. Spontaneously broken G{sub 2}xSU(3){sub L}xU(1) gauge symmetry is formulted and the colour SU(3){sub c} quark symmetry is explained as the unbroken subgroup of G{sub 2}, the broken automorphism group of postoctonium hypernumbers. The right eigenvalues of the electric charges of leptons and quarks (of two generations) are obtained from the requirement of the invariance of trilinear associative form under the phase-transformation. 8 refs.}
place = {USSR}
year = {1990}
month = {Dec}
}