True Neutrality as a New Type of Flavour

Abstract

A classification of leptonic currents with respect to C-operation requires the separation of elementary particles into the two classes of vector C-even and axial-vector C-odd character. Their nature has been created so that to each type of lepton corresponds a kind of neutrino. Such pairs are united in families of a different C-parity. Unlike the neutrino of a vector type, any C-noninvariant Dirac neutrino must have his Majorana neutrino. They constitute the purely neutrino families. We discuss the nature of a corresponding mechanism responsible for the availability in all types of axial-vector particles of a kind of flavour which distinguishes each of them from others by a true charge characterized by a quantum number conserved at the interactions between the C-odd fermion and the field of emission of the corresponding types of gauge bosons. This regularity expresses the unidenticality of truly neutral neutrino and antineutrino, confirming that an internal symmetry of a C-noninvariant particle is described by an axial-vector space. Thereby, a true flavour together with the earlier known lepton flavour predicts the existence of leptonic strings and their birth in single and double beta decays as a unity of flavour and gauge symmetry laws. Such a unified principle explains the availability of a flavour symmetrical mode of neutrino oscillations.Comment: 19 pages, LaTex, Published version in IJT

A Set-Matrix Duality Principle for the Dirac Equation

“…This would seem to say that either unification [10,13] of elementary objects in families of a different C-parity is incompatible with the chiral presentation (12) or σp s is not helicity operator of a C-odd particle. On the other hand, as follows from symmetry laws, any Cinvariant or C-noninvariant neutrino cannot simultaneously have both CPT-even vector and CPT-odd axial-vector nature.…”

“…Between the vector and the axial-vector spaces [13] there exists a range of fundamental differences, which require the unification of elementary particles with respect to C-operation. However, nature, by itself, does not separate [8,9] each of these forms of Minkowski spaces into left and right spaces, and the transitions between the different spin states are carried out in it spontaneously by a mirror symmetry violation.…”

“…To elucidate these ideas, we use ( 13)-( 15) for the free particles of C-oddity. Then it is possible, for example, (13) in the presence of ( 5) and ( 12) transforms (8) into the system…”