English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The spin-charge-family theory predicts the existence of the fourth family tothe observed three. The $4 \times 4$ mass matrices --- determined by thenonzero vacuum expectation values of the two triplet scalars, the gauge fieldsof the two groups of $\widetilde{SU}(2)$ determining family quantum numbers,and by the contributions of the dynamical fields of the two scalar triplets andthe three scalar singlets with the family members quantum numbers($\tau^{\alpha}=(Q, Q',Y')$) --- manifest the symmetry $\widetilde{SU}(2)\times \widetilde{SU}(2) \times U(1)$. All scalars carry the weak and the hypercharge of the standard model higgs field ($\pm \frac{1}{2},\mp \frac{1}{2}$,respectively). It is demonstrated, using the massless spinor basis, that thesymmetry of the $4\times4$ mass matrices remains $SU(2) \times SU(2) \timesU(1)$ in all loop corrections, and it is discussed under which conditions thissymmetry is kept under all corrections, that is with the corrections induced bythe repetition of the nonzero vacuum expectation values included.

The symmetry of $4 \times 4$ mass matrices predicted by the  spin-charge-family theory --- $SU(2) \times SU(2) \times U(1)$ --- remains in  all loop corrections