Physical Interpretation of the Dirac Neutrino with Electromagnetic Mass

Abstract

The usual choice of an orthogonal set of four plane-wave solutions of the free-particle Dirac equation does not lend itself readily to direct and complete physical interpretation in the case of Dirac neutrino particle. A different choice of solutions can be made which yields a direct physical interpretation at all energies. Besides the separation of positive and negative energy states there is a further separation of states for which the spin is respectively parallel or antiparallel to the direction of the momentum vector. This can be obtained from the Maxwell’s equation without charges and current in the configuration. Scenery of our study is at high temperature T where coexist electron-positron pair and neutrino-antineutrino pair, ( i.e ., T ≥1 MeV ). Taking into consideration the possibility of negative mass, we can describe the observed behavior of antimatter in response to electromagnetic fields by assuming that the anti Dirac neutrino has a negative mass, so a new causal symmetry can be obtained.