Is the Dirac particle composite?

Abstract

Classical model S_{Dcl} of the Dirac particle S_D is constructed. S_D is the dynamic system described by the Dirac equation. For investigation of S_D and construction of S_{Dcl} one uses a new dynamic method: dynamic disquantization. This relativistic purely dynamic procedure does not use principles of quantum mechanics. The obtained classical analog S_{Dcl} is described by a system of ordinary differential equations, containing the quantum constant $\hslash$ as a parameter. Dynamic equations for S_{Dcl} are determined by the Dirac equation uniquely. The dynamic system S_{Dcl} has ten degrees of freedom and cannot be a pointlike particle, because it has an internal structure. There are two ways of interpretation of the dynamic system S_{Dcl}: (1) dynamical interpretation and (2) geometrical interpretation. In the dynamical interpretation the classical Dirac particle S_{Dcl} is a two-particle structure (special case of a relativistic rotator). It explains freely such properties of S_D as spin and magnetic moment, which are strange for pointlike structure. In the geometrical interpretation the world tube of S_{Dcl} is a ''two-dimensional broken band'', consisting of similar segments. These segments are parallelograms (or triangles), but not the straight line segments as in the case of a structureless particle. Geometrical interpretation of the classical Dirac particle S_{Dcl} generates a new approach to the elementary particle theory.

40 pages, 4 figures, correction of a mistake

References in corpus (5)

• A semiclassical approach to the Dirac equation
• Dynamic disquantization of Dirac equation
• Hamilton Variational Principle for Statistical Ensemble of Deterministic Systems and its Application for Ensemble of Stochastic Systems
• Model conception of quantum phenomena: logical structure and investigation methods
• What object does the wave function describe?

Cited by in corpus (12)

• Is the Dirac particle completely relativistic?
• Tubular geometry construction as a reason for new revision of the space-time conception
• Geometrical dynamics: spin as a result of rotation with superluminal speed
• Dynamical methods of investigation in application to the Dirac particle
• Formalized procedure of transition to classical limit in application to the Dirac equation
• Discrimination of particle masses in multivariant space-time geometry
• Deformation principle and further geometrization of physics
• Geometries with intransitive equivalence relation
• Why does the Standard Model fail to explain the elementary particles structure?
• Contemporary development of Einstein's ideas on space-time and Brownian motion
• Non-Riemannian geometry as a reason of the third modification of the space-time geometry
• On strategy of relativistic quantum theory construction