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Physical properties of elementary particles: Inertia and Interaction

Martin Rivas

Abstract

Matter has two physical properties: Inertia and interaction. If we define the center of mass of an elementary particle in relation to its inertia, and a center of interaction in relation to its interactive properties, there are only two possibilities to describe this elementary particle: that both points are the same or that they are different. If they are the same, what we describe is the point particle model, while if we consider them to be different, what we obtain is the description of an elementary spinning particle. If the center of interaction or center of charge is moving at the speed of light, completely determines also the dynamics of the center of mass, and when quantizing this model satisfies Dirac's equation. We obtain the classical description of the spinning Dirac particle.

Physical properties of elementary particles: Inertia and Interaction

Abstract

Matter has two physical properties: Inertia and interaction. If we define the center of mass of an elementary particle in relation to its inertia, and a center of interaction in relation to its interactive properties, there are only two possibilities to describe this elementary particle: that both points are the same or that they are different. If they are the same, what we describe is the point particle model, while if we consider them to be different, what we obtain is the description of an elementary spinning particle. If the center of interaction or center of charge is moving at the speed of light, completely determines also the dynamics of the center of mass, and when quantizing this model satisfies Dirac's equation. We obtain the classical description of the spinning Dirac particle.
Paper Structure (5 sections, 29 equations, 1 figure)

This paper contains 5 sections, 29 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Constants of the motion of the free Dirac particle
  3. Intrinsic properties of the Dirac particle
  4. The interaction Lagrangian
  5. Dynamical equations

Figures (1)

  • Figure 1: Motion of the CC of the electron ${\bi r}$ in the center of mass frame given in (\ref{['espinCM']}). The CM is located at the origin in this frame. The angular velocity $\bomega$, because ${\bi v}=0$ has no component along the velocity ${\bi u}$, the trajectory is flat and has no torsion. The spin in the center of mass frame has the opposite direction to the angular velocity $\bomega$.