I.4 Propagation and delayed effect in Aether


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 the same speed of sound. Here again, the dielectric Aether is not changed by the sources of perturbation and speed of wave c can be considered as identically constant across any trajectory of propagation. The time to reach A provokes a delay Δt = r/c which is equivalent for A to see an apparent distance r' longer than r.

At first order of time derivative (meaning speed of source B is constant), the apparent distance due to delayed effect is:



At second order of time derivative (applied when B is accelerating or decelerating) :


This two relations permit to consider the influence function H on A with delayed effect H'(r).

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