Transformation and Redefinition of Force–Power and Momentum–Energy

Abstract

In Chap. 4 it was shown that the specific model of an electron as a charged insulator demands molecular forces, binding the charge to the insulator, that just cancel the discrepancy (2.6) between the Lorentz-Abraham force and power equations of motion, (2.1) and (2.4). In Chap. 5 we saw that the relativistic generalization of Newton's second law of motion, together with the Einstein mass-energy equivalence relation, require the negative bare mass in (5.11) that eliminates the factor of 4/3 multiplying the electrostatic mass in the original equation of motion (2.1). In this chapter we summarize the transformation properties of the electromagnetic, binding, and bare-mass forcepowers and momentum-energies, derive a total stress-momentum-energy tensor for the charged insulator model of the electron, and review the redefinitions of electromagnetic momentum-energy that have been proposed in the past for the extended electron.