Non-Hermitian quantum theory with maximal mass

Abstract

Abstract. Non-Hermitian fermion Hamiltonian with γ 5 mass extension is studied. The connection of this PT -symmetrical pseudo-Hermitian model with the geometrical theory with maximal mass is established. The interaction of modified Dirac particles with the external magnetic field is considered. In particular, modified neutrinos is under studying. The results of neutrinos mass values measurements are explained.