Mathematical modeling of mass generation via confinement of relativistic particles

A simple mathematical model is presented for the generation of mass via the spontaneous confinement of elementary particles, e.g. electrons, neutrinos or quarks, in bound rotational states with relativistic particle velocities. In this simple mechanism, which is operative both in chemical and in physical systems, the new mass which is created corresponds to the kinetic energy of the trapped particles. It is shown that the ratio of the new mass created to the initial mass is very small for chemical systems but can be very high in the case of gravitational confinement of neutrinos in rotational states with relativistic particle velocities