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II.2 Identification of the electric vector potential

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As seen in the previous lecture , Coulomb force is the result of pressures exerted within the Dielectric Aether . Electric forces are therefore made possible because of local polarization of the dielectric Aether that locally decreases or increases the agitation of the medium and thus its pressure. Let's now analyze how the Coulomb force is changed whenever one of the charges is moving steadily at speed V .   Potential φ satisfies to the condition of the state function H which calculus is explained here when speed V is negligible against speed of propagation c .   The resulted delayed effect on the electrical influence permits to introduce the electrodynamic vector  potential A : And thus, one retrieves the known relationship between the two potentials: Historically, vector potential A has been mathematically identified and derived from a logic assumption concerning the magnetic force B . For a long time, vector potential A has been presented as a calculus
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I.4 Propagation and delayed effect in Aether

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Due to propagation in the dielectric Aether, pressures necessarily undergo a delayed effect when sources of perturbation are in move. In order to support our discussion, let's consider A being the receiver of a moving source of perturbation B. The idea is to study the consequence of delayed effect on point A according to the influence of B due to a state function H(r) . Let's first notice that speed of propagation is fully dependent on the medium and not on the sources of perturbation. This is especially used in relativity to justify speed of light as an universal constant. Although considering the speed of perturbation as a constant in a local area makes sense, we'll see later how this hypothesis comes to be completely flaw at cosmological scale. Similarly with a plane flying in air medium, the speed of sound mostly depends on density and temperature independently from the plane speed. At same conditions, the plane and any observer on earth will therefore observe
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