Longitudinal field 0 electrodynamics

The most fundamental feature of 0(3) electrodynamics is the existence of the Ba> field [2], which is longitudinally directed along the axis of propagation, and which is defined in terms of the vector potential plane wave ... 

Time-like currents and flows do appear in the vacuum energy, if extended electrodynamic theory is utilized. For instance, in the received view, the Gupta-Bleuler method removes time-like photons and longitudinal photons. For disproof of the Gupta-Bleuler method, proof of the independent existence of such photons, and a short description of their characteristics, see Evans AIAS group papers on Whittaker s F and G fluxes and analysis of the EM entity in Ref. 24a to see how such entities produce ordinary EM fields and energy in vacuo, see Ref. 24b. 

In 1904 Whittaker [28] showed that any EM field or wave consists of two scalar potential functions, initiating what is known as superpotential theory [77]. By Whittaker s [8] 1903 paper, each of the scalar potential functions is derived from internally structured scalar potentials. Hence all EM fields, potentials, and waves may be expressed in terms of sets of more primary interior or infolded longitudinal EM waves and their impressed dynamics.35 This is indeed a far more fundamental electrodynamics than is presently utilized, and one that provides for a vast set of new phenomenology presently unknown to conventional theorists. 

Further, ordinary EM fields, potentials, and waves appear to be superhighways for such systems to travel in. The conventional EM fields, potentials, and waves consist of nothing but bundles of such longitudinal EM waves and their dynamics, anyway. So the propagation of a CSR inside ordinary electrodynamics, is simply the propagation of a set of LW wave dynamics of special kind, in the inner LW medium of the electrodynamic fields, waves, and potentials. 

In general, all the off-diagonal elements of the quaternion-valued commutator term [the fifth term in Sachs Eq. (4.19)] exist, and in this appendix, it is shown, by a choice of metric, that one of these components is the Ba> field discussed in the text. The B<3) field is the fundamental signature of 0(3) electrodynamics discussed in Vol. 114, part 2. In this appendix, we also give the most general form of the vector potential in curved spacetime, a form that also has longitudinal and transverse components under all conditions, including the vacuum. In the Maxwell-Heaviside theory, on the other hand, the vector... 

Corporation attempted to measure the B3 field. However, the results were null, and an inconclusive direct measurements of the B3 field still remains elusive. On the theoretical front non-Abelian electrodynamics remains controversial and not widely upheld. Some objections are not entirely reasonable. On the other hand, Waldyr Rodriques objected to certain assumptions, proposed by M. W. Evans, that relates coefficients in Whittaker s 1904 paper on electrodynamics to the putative existence of longitudinal modes in non-Abelian electromagnetic waves in vacuum. Rodrigues objections appear reasonable. However, this response was quite forceful and direct, and resulted in his refusal to consider anything involving non-Abelian electrodynamics. 

It is apparent that for A3, = 0, the electric field component does not contain a product of potential terms. In general the vanishing of this term occurs if there are no longitudinal electric field components. Within the framework of most quantum electrodynamic, or quantum optical, calculations this is often the case. The B(3) field then is a Fourier sum over modes with operators a qaq. The B(3 ) field is then directed orthogonal to the plane defined by A1 and A2. The fourdimensional dual to this term is defined on a time-like surface that has the interpretation, under dyad-vector duality in three dimensions as, as an electric... 

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