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The assumptions of the {it standard model}, which 50 years ago offered an elegant new step towards understanding basic fermion and boson fields, are still waiting for an explanation. The {it spin-charge-family} theory is promising not only in explaining the {it standard model} postulates but also in explaining the cosmological observations, like there are the appearance of the {it dark matter}, of the {it matter-antimatter asymmetry}, making several predictions. This theory assumes that the internal degrees of freedom of fermions (spins, handedness and all the charges) are described by the Clifford algebra objects in $dge(13+1)$-dimensional space. Fermions interact with only the gravity (the vielbeins and the two kinds of the spin connection fields, which manifest in $d=(3+1)$ as all the vector gauge fields as well as the scalar fields - the higgs and the Yukawa couplings). The theory describes the internal space of fermions with the Clifford objects which are products of odd numbers of $gamma^a$ objects, what offers the explanation for quantum numbers of quarks and leptons and anti-quarks and ani-leptons, with family included. In this talk I overview shortly the achievements of the {it spin-charge-family} theory so far and in particular the explanation of the second quantization procedure offered by the description of the internal space of fermions with the anticommuting Clifford algebra objects of the odd character. The theory needs still to answer many open questions that it could be accepted as the next step beyond the {it standard model}.
This contribution is an attempt to try to understand the matter-antimatter asymmetry in the universe within the {it spin-charge-family-theory} if assuming that transitions in non equilibrium processes among instanton vacua and complex phases in mixin
The matter-antimatter asymmetry problem, corresponding to the virtual nonexistence of antimatter in the universe, is one of the greatest mysteries of cosmology. Within the framework of the Generation Model (GM) of particle physics, it is demonstrated
We suggest that the eventual gravitational repulsion between matter and antimatter may be a key for understanding of the nature of dark matter and dark energy. If there is gravitational repulsion, virtual particle-antiparticle pairs in the vacuum, ma
A CPT violating decoherence scenario can easily account for all the experimental evidence in the neutrino sector including LSND. In this work it is argued that this framework can also accommodate the Dark Energy content of the Universe, as well as the observed matter-antimatter asymmetry.
The apparent dominance of matter over antimatter in our universe is an obvious and puzzling fact which cannot be adequately explained in present physical frameworks that assume matter-antimatter symmetry at the big bang. However, our present knowledg