**Authors:** Henok Tadesse

Maxwell’s electromagnetic wave equations for ‘free’ space have serious draw backs in that they only determine the speed of the wave (as if unrelated to any reference frame) but do not determine the waveform, the frequency, the amplitude and the direction of propagation of the wave at every point in ‘free’ space. In short they do not show any ‘connection’ of the wave with its source. The wave is ‘detached’ from its source. The fundamental problem with Maxwell’s equations for ‘free’ space is the assumption of ‘free’ space in which even the source of the wave has no effect at all on the wave. EM waves are just travelling disturbances on (of) static electric and magnetic fields and these disturbances always originate from changing charges or changing current. Maxwell’s equations do not show how these changes in static fields will be propagated to all points in space. This means they do not show the interaction of the static and dynamic fields. Maxwell’s original equations for ‘free’ space are useful only for qualitative study and understanding of the mechanism of the propagation of electromagnetic waves, by the interaction of E and B fields. In this paper, additional terms to be added to the original Maxwell’s equations and a theory of electrostatic and magneto-static fields as the 'mediums' for electromagnetic waves have been proposed. One of the important consequences of these equations , assuming they are correct, is if there is any dependence of the speed of the resulting electromagnetic wave function on distance r, angles Θ and ϕ relative to the source (at least on distance r for simplicity). Intuitively, we can guess that this dependence exists by looking at the equations because Es and Bs (the static fields) and E and B (the dynamic fields) depend on r. Another important consequence may be that the speed of EM waves is always greater than the ‘free’ space speed, which is the lowest limit. In this case, the speed of the EM wave (light) is defined and will be approximately constant only relative to its source and hence Einstein’s postulate of the constancy of speed of light for all observers will be wrong. An observer in relative motion with respect to a light source not only measures a different light speed, but also will observe a different light beam due to Doppler effect.

**Comments:** 14 Pages. Changed signs in equations and changed interpretations (and figures)

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[v1] 2012-10-30 16:22:29

[v2] 2012-11-26 14:04:39

[v3] 2012-12-13 06:28:17

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