Is the Dirac particle composite?

Yuri A. Rylov

Institute for Problems in Mechanics, Russian Academy of Sciences
 101-1 ,Vernadskii Ave., Moscow, 119526, Russia
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Updated October 19, 2004


Classical model SDcl of the Dirac particle SD is constructed. SD is the dynamic system described by the Dirac equation. For investigation of SD and construction of SDcl one uses a new dynamic method: dynamic disquantization. This relativistic purely dynamic procedure does not use principles of quantum mechanics. The obtained classical analog SDcl is described by a system of ordinary differential equations, containing the quantum h as a parameter. Dynamic equations for SDcl are determined by the Dirac equation uniquely. The dynamic system SDcl 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 SDcl: (1) dynamical interpretation and (2) geometrical interpretation. In the dynamical interpretation the classical Dirac particle SDcl is a two-particle structure (special case of a relativistic rotator). It explains freely such properties of SD as spin and magnetic moment, which are strange for pointlike structure. In the geometrical interpretation the world tube of SDcl 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 SDcl generates a new approach to the elementary particle theory.

There is text of the paper in English and in Russian, figures.(fig1, fig2, fig3, fig4)