0. The interesting hypothesis needed for the theory.

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As it will be considered that matter has the ability to change around it the speed of the sounds in space (hypersonic waves) and because the consideration of a simple resonator with plane waves has led us to the conclusion that its mass is sound-speed dependant, we are going to make the hypothesis that the whole hypersonic energy contained in an electron at rest changes according to sqrt(C(r)/Co) when the velocity C(r) changes with the position R in gravity, Co being the hypersound-speed far from massive objects.

This speed behavior is different of the one needed for the simple resonator above and is due to the fact that the electron is not made of plane waves, but spherical-like ones(spinless electron).

Obviously this speed dependance has been chosen in order to obtain an agreement of the theory with the experiments, but as this dependance has a very simple expression, we have good reasons to believe that it is true and that it may help to find a clear explanation of the discrete frequencies at rest in ether of the elementary particules.

Here Mo and Co are the mass and sound-speed far from massive objects.

We have also to note that no scientist in the world may never have yet observed a sound-speed dependance different of the one above, because it will be shown that the sound-speed variation are so weak, that even along long distances in gravity, the variation is weaker than the last decimals known of the light speed.

As it will be shown that the speed dependance is: , for example along 10 km up from the Earth surface, the sound speed changes from

299,792,458 m/s to 299,792,458.0007 m/s and thus sq(c) from 8.98755178737.E(+16) to 8.98755178743.E(+16) sq(m)/sq(s).

Nevertheless, this speed law is fully derived from the hypothesis above and fully confirmed by the experiment of deviation of the light by the sun (1919 Eclipse) and the Shapiro phase delay measured with radar pulses towards Mars.