I'm using here a 1923 English translation of his original 1905 paper: "Ist die Tragheit eines Korpers von seinem Energieinhalt
abhanging? (13, 639, Annalen der Physik)."
Let me be clear: He's unable to prove that light energy is related to any mass transformation, at all. He can't even relate energy
with mass. Plain and simple.
To explain it briefly: There are two reference frames E(x,y,z) and H(x',y',z'). There is a point-like mass located at E(0,0,0) which is
at rest relative to the frame H, which is moving at constant velocity "v" towards the positive side of the x' axis.
There are two virtual observers: Observer 1 at E(x,y,z), who isn't moving with reference to E(0,0,0), and Observer 2 at H(x',y',z')
who also doesn't move with reference to H(0,0,0). A third virtual observer (Einstein) collects information about what both observers
perceive with respect to energies at E and its perception at H.
There is an initial state, ZERO, at which energy values from E and H are collected.
At a given instant, and without any further explanation about the technology used, the mass at the frame E (at rest), emits two
opposite beams of light (to cancel momentum), each one with energy L/2.
The light beams form an angle PHI with the x axis, which is arbitrary. Due to this fact, and to simplify, I selected PHI = 0.
The effect of the angles are cancelled inmediately, anyways.
This instantaneous emission of light (unexplained) creates a new state, called ONE.
The trick is to calculate the energies perceived by both observers: E0, E1 and H0, H1 and CALCULATE the total difference in
energies BEFORE and AFTER the light is turned ON.
Einstein uses mathematical tricks to hide the fact that the mass m0 has something to do in those four states. He need that
in order to avoid writing explicitly a mathematical identity, which is used INDIRECTLY for his final conjectures about mass loss
and mass convertion into energy, to later extrapolate this concept to THE ENTIRE MASS.
The following explanation try to show what IS NOT SHOWN at his paper, on purpose, because it would render it as useless.
The conclusion is: Einstein never proved (not even close) that his mass L/c2 has been extracted from m0 and converted into energy.
This makes his Conjecture and final extrapolation incorrect (not even wrong). So, Einstein conclusions are invalid, and is not true
that E = mc2, at least not as proven by Einstein.
That there is a relationship between mass and energy is something that is as old as Newton's ideas, or maybe before. But Einstein
is not the one who proved it.
Note: I'm using Y to represent the Gamma Factor in the Lorentz Transforms.
Then, the whole paper is based in the "calculation" of the DIFFERENCE OF ENERGY between two
different subsystems (the reference frames E(x,y,z) and H(x',y',z')), whit the intention to SHOW A
FALSE PREMISE: That the mass, barely mentioned, is losing an amount equal to L/c2.
To get his FALSE RESULT, he hides the behavior of the mass and the observers, and use the
energy equations in an aberrating, childish manner, which is WRONG.
The key to hide the existance and behavior of the mass m0is how he manipulates E0,E1,H0 and H1.
Edited by rhertz, 10 June 2019 - 06:10 PM.