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From: Richard Hachel <r.hachel@liscati.fr.invalid>
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Le 01/12/2024 à 01:28, hertz778@gmail.com (rhertz) a écrit :

> Now, E = 3/4 mc² or E = mc²? 

 E=mc².sqrt(1+Vr²/c²)

 If Vr~0 then E=mc².

 If a mass is at rest in a system, it has no real speed in this system.

Nor any observable speed since Vo=Vr/sqrt(1+Vr²/c²)

Its only displacement is in time, and only the energy of displacement in 
time is counted.

E=mc² is the energy of a particle by its passage in time.

If, in addition, the particle moves in space, it also takes on an energy 
of movement (not to be confused with kinetic energy).

This energy is E=mVr².

It is extremely simple.

Since this does not add longitudinally since the axis of time and the axis 
of movement are perpendicular, we must call upon Pythagoras.

E=sqrt[(mc²)²+(mVr²)²]

E=mc².sqrt(1+Vr²/c²) and, if Vr=Vo/sqrt(1-Vo²/c²)

So :
E=mc²/sqrt(1-Vo²/c²)

It's that simple.

R.H.