Toward a more complete electrodynamic theory
by L.M. Hively; G.C. Giakos
International Journal of Signal and Imaging Systems Engineering (IJSISE), Vol. 5, No. 1, 2012

Abstract: Maxwell's equations require a gauge condition for specific solutions. This incompleteness motivates use of a dynamical quantity, ξ=−∇•A − εμ ∂φ/∂t. Here, A and φ are the vector and scalar potentials, with permeability and permittivity, ε and μ respectively. The results are: relativistic covariance; classical wave solutions; elimination of inconsistency between the media-interface matching for φ and for Gauss' law; independent determination of A and φ; prediction of two new waves, one being a charge-fluctuation-driven scalar wave, having energy but not momentum; a second longitudinal-electric wave with energy and momentum; experimental suggestions.

Online publication date: Fri, 04-May-2012

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