Abstract

The Schrödinger equation ensues from the following axiom: in Cartesian coordinates and in absence of gravitation, to the component , (), of the momentum tensor is associated the operator . We show here this equation is a particular case of the equation that governs, even in presence of gravitation, the oscillatory displacements  of the points of the ether shown to be a specific elastic medium. That is to say that the Schrödinger equation of which the solutions are the scalar state functions  is a particular case of the equation of the vectorial waves  propagated in the ether. As shown in previous publications, a mobile particle is a superposition  of these waves  that form a globule moving like this particle; here we show, in particular that, in a bound state, it is the interferences of these waves  that creates the so called “quantum states”. The ether elasticity theory therefore do not only generalizes the quantum mechanics, but also gives the physical signification of the quantum phenomena.

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