V. Direct derivation of the optics law.---[ Return home ]

If the change of energy with velocity of the simplified electron in a constant sound-speed medium has been clearly demonstrated, we have to show here how the internal energy at rest of the simplified electron changes with the local sound-speed.

We are going to make the hypothesis, that the internal energy at rest changes according to the following formula: where mo and Co are the mass and velocity far from massive bodies. To obtain that hypothesis, we have considered that the mass m is also sound-speed dependant: m[c(x)].

Such an hypothesis is not absurd at all, because the sound-wave speed obtained with the formula obove doesn't change a lot over very long distances. Thus , no physicist in the world may never have measured this internal rest energy behavior with sound-wave speed variations.

What has been said, because C0 and M0 are contants means that when a simplified electron is in free fall in gravity, the following expression is constant:

Thus, we have: or better . With this formula, we have (H being constant):

That is to say, with the value of H above: which is the correct optics law obtained for sound-waves.

Such a result, is a prrof that the hypothesis chosen above is the good one and that for the simplified electron the internal energy at rest changes according to the variations of the value of the local sound-wave velocity.

But, it will be shown in the gravity theory that due to a different wave structure (not plane waves), the internal energy of the true electron changes according to sqrt[c(x)] when the local sound-wave velocity changes.

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