# Dark matter origin and mass generation for Dirac particles

*Vadim V. Asadov*^{1} and Oleg V. Kechkin^{2}

(1) Neur OK-III, M.V. Lomonosov Moscow State University, Vorobyovy Gory, Moscow 119899, Russia

(2) Neur OK-III, M.V. Lomonosov Moscow State University, Vorobyovy Gory, Moscow 119899, Russia

### Abstract

We present a new approach to dark matter identification and a new dynamical mechanism of mass generation for spinor particles. This approach is based on using a modified version of the massless Dirac equation with an analytic dependence of the wave function on a complex evolution parameter. It is shown that the spectrum of the theory contains massive, massless and tachyon modes. It is established that the presence of tachyons maintains a real addition to the mass of the quantum system, so the tachyon sector can be identified with dark matter in the Universe. We have also studied exact solutions of soliton type in this theory. It is shown that these quantum solitons possess nontrivial mass characteristics which have a dynamical nature.

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