IV. Gravity experienced by the wave of the resonator in a medium where the speed is variable.---[ Return home ]

We consider the simplified electron (sound-wave only) in motion between two mirrors at the velocity Vx (see figure below) and we consider a sound-velocity which changes along the X axis according to the following formula: where g=9.81 m/sq(s) , the acceleration of gravity and a, a constant value which is the square of the sound-speed in x=0.

If Vx is weak relatively to c(x), like for bodies in motion on the Earth (upward) , we have:

And by multiplication by the mass of the simplified electron:

which the well-known formula for secondary school students for a body in motion vertically in gravity (Newton's law).

Nevertheless, for a true electron not made of plane sound-waves, but of spherical ones, where the different parts have different velocities along x, the optics motion equation obtained is slightly modified and replaced by an averaged one for the particular wave struture of the electron (if you want to see it, ask it to me at roland.dewitte@ping.be ).

For the true electron in gravity, the motion equation is:

and the true sound-wave speed in space is: where is the Newtonian universal gravitation constant and M the Earth mass.

With these formulas, at low velocity, we have: , the Newton's law. For more details, see the gravity theory.

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