Abstract

The particle is represented by the wave packet in nonlinear space-time continuum. Because of dispersion, the
packet periodically appears and disappears in movement and the envelope of the process coincides with the wave
function. There was considered the partial differential equation of telegraph-type describing the motion of such
wave packet in spherical coordinate space (r,θ ,?) . There was constructed also the analytical solution u(r,θ ,?)
of this equation and the integral over all space of 2 2 gradu was supposed being equal to the mass of the particle
identified with the wave packet. As the solution u(r,θ ,?) depends on two parameter L,m being positive
integer, it was possible to calculate our theoretical particle masses MLm for different L,m. So, we have
obtained the theoretical mass spectrum of elementary particles. The comparison with known experimental mass
spectrum shows our calculated theoretical mass spectrum is sufficiently verisimilar.

This work is licensed under a Creative Commons Attribution 4.0 License.