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Old and New Concepts of Physics

On the Mass Spectrum of Elementary Particles in Unitary Quantum Theory

Leo Georgy Sapogin, Yu. A. Ryabov

Published Sep 1, 2008• 23 citations
Publisher

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 dierential equation of telegraphtype describing the motion of such wave packet in spherical coordinate space(r,,’ ). There was constructed also the analytical solution u(r,,’ ) of this equation and the integral of

DOI
10.2478/v10005-007-0042-7

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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 dierential equation of telegraphtype describing the motion of such wave packet in spherical coordinate space(r,,’ ). There was constructed also the analytical solution u(r,,’ ) of this equation and the integral of
The paper proposes a model of a unitary quantum field theory where the particle is represented as a wave packet.The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form.The envelope of the process is identified with a conventional wave function.Equation of such a field is nonlinear and relativistically invariant.With proper adjustments, they are reduced to Dirac, Schroedinger and Hamilton-Jacobi equations.A number of new experimental effects are predicted both for high and low energies.
The paper proposes a model of a unitary quantum field theory where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant. With proper adjustments, they are reduced to Dirac, Schroedinger and Hamilton-Jacobi equations. A number of new experimental effects are predicted both for high and low energies.
The paper proposes a model of a unitary quantum field theory where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant. With proper adjustments, they are reduced to Dirac, Schrödinger and Hamilton-Jacobi equations. A number of new experimental effects are predicted both for high and low energies.
This article describes a model of Unitary Quantum Field Theory in which a particle is represented as a wave packet. The frequency dispersion equation is chosen such that the packet periodically appears and disappears without changing shape. The envelope of the process is identified with the ordinary wave function. The equation of such a field is nonlinear, and the mass depends on velocity in the same way as under relativistic invariance, but all the schizophrenia with time dilation and line contraction disappears.