The internal degrees of freedom of fermions are in the
spin-charge-family theory described by the Clifford algebra objects, which are superposition of an odd number of
’s. Arranged into irreducible representations of “eigenvectors” of the Cartan subalgebra of the Lorentz algebra
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The internal degrees of freedom of fermions are in the
spin-charge-family theory described by the Clifford algebra objects, which are superposition of an odd number of
’s. Arranged into irreducible representations of “eigenvectors” of the Cartan subalgebra of the Lorentz algebra
these objects form
families with
family members each. Family members of each family offer the description of all the observed quarks and leptons and antiquarks and antileptons, appearing in families. Families are reachable by
. Creation operators, carrying the family member and family quantum numbers form the basis vectors. The action of the operators
’s,
,
’s and
, applying on the basis vectors, manifests as matrices. In this paper the basis vectors in
Clifford space are discussed, chosen in a way that the matrix representations of
and of
coincide for each family quantum number, determined by
, with the Dirac matrices. The appearance of charges in Clifford space is discussed by embedding
space into
-dimensional space. The achievements and predictions of the
spin-charge-family theory is also shortly presented.
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