Authors: Johan Kirsten
Classical electrodynamics assumes the Lorenz gauge condition. There exists a generalisation of classical electrodynamics that does not make this assumption. The generalisation extends the current electrodynamics theory to include a scalar field. This new theory predicts everything the previous theory predicted and some extra effects. This paper will put forth a mathematical argument that supports this generalisation by proving, using classical electrodynamics, that the Lorenz gauge condition cannot be assumed. Instead, it is shown that electrodynamics should include a scalar field that is created by current density in the direction of the current density. Some interesting conclusions about the nature of the scalar field will also be drawn from the equations. It is shown that a scalar field implies that longitudinal electroscalar waves must exist. This implies the existence of a massive longitudinal photon. The implication of this could be that dark matter is actually longitudinal polarised photons having mass. It is also speculated that the scalar field could be a classical Higgs field, which is also scalar in nature. It is also shown that the gradients of the scalar field could act as sources for the electromagnetic field. This suggests a possible way to measure for the existence of the scalar field: Induce a scalar field using the field longitudinal to a current density and measure the deviation, if any, of matter that crosses this field.
Comments: 8 Pages.
[v1] 2012-06-29 10:16:15
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