Electromagnetic fields of time-dependent magnetic monopole

Abstract

Dirac-Maxwell's equations, retained for magnetic monopoles, are generalized by introducing magnetic scale field. It allows the magnetic monopoles to be time-dependent and the potentials to be Lorentz gauge free. The non-conserved part or the time-dependent part of the magnetic charge density is responsible to produce the magnetic scalar field which further contributes to the magnetic and electric vector fields. This contribution makes possible to create an ideal square wave magnetic field from an exponentially rising and decaying magnetic charge. The Maxwell-Heaviside equations prescribe both open dissipative systems having coefficient of performance (COP) > 1 and equilibrium systems having COP 1, by functioning as open dissipative systems freely receiving and using excess energy from the active vacuum. To study the open dissipative systems the potentials are to be made Lorentz gauge free. While studying such systems, Anastasovski et al (2) obtained equations for vacuum current density and vacuum charge density and proposed to pick up by a receiver and use to generate huge electrical energy. Similar results have been deduced by Lehnert (3-6) and Lehnert and Scheffel (7) from the condition of a nonzero charge density from vacuum fluctuations in combination with the requirement of Lorentz invariance. By another approach Teli and Jadhav (8) removed the Lorentz condiction on potentials by introducing scalar potentials in the Generalized Dirac- Maxwell's equations which made the electrical charges time varying in nature. These charges then did not satisfy the continuity equation. The non-conserved part of the charge density was accommodated in terms of a scalar field. They obtained electromagnetic fields of non-conserving electric charged particle. However, magnetic monopoles, elementary particles with a net magnetic charge, have been a curiosity for physicists and many believe they ought to exist. Our attempt is to find out the fields of non-conserving magnetic monopoles