A Repulsive Interaction in the Classical Electrodynamics

K. GAMBAR; F. MARKUS; M. C. ROCCA

ACTA POLYTECHNICA HUNGARICA

BUDAPEST TECH

Año: 2020 vol. 17 p. 175 - 189

1785-8860

We introducean additional term in the induction equation (one of the Maxwell?s equation). Therelated Lagrangian formalism applying the scalar and vector potentials isfitted to this modified Maxwell?s equations. In the framework of Hamiltons?sprinciple we are able to deduce Klein-Gordon equations with negative ?massterm? for the field variables electric field E and magnetic induction B.We can conclude from the mathematical structure of the equations that a repulsiveinteraction appears. The Wheeler propagator can be calculated for the presentcase by which the time evolution of the field can be discussed. In spite ofthese equations have tachyon solutions, the results are in line with thecausality principle. As a consequence of the theory a spontaneous chargedisjunction process may rise in the field.