Is the Dirac particle composite?

Yuri A. Rylov

Institute for Problems in Mechanics, Russian Academy of Sciences
 101-1 ,Vernadskii Ave., Moscow, 119526, Russia
 email: rylov@ipmnet.ru
 Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm
or mirror Web site: http://gas-dyn.ipmnet.ru/~rylov/yrylov.htm

Updated October 19, 2004

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 h 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 S_Dcl 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)