The formula E = mc^2 estimated as one of the top ten of most beautiful formulae at any epoch, but the its demonstration at firth contained mistake by just Great Einstein! The lack of logical fundamental of the Einstein had advised by Aivs in “Journal of the Optical Society Of America”, 42, 540 – 543. 1952. After that, nobody take author demonstration no more, but use dependent of inertial mass from velocity of a body:
m = mo(1-(V/c)^2)^-1/2 = mo.γ (1)
together with the Newton’s 2 law:
F = d(mV)/dt (2)
for calculation that formula. But, the new mistake appear and, perhaps, in this situation, not could be recovered!!!
First, the itself formula (1) had estimated for only moving uniform straight-line body with the constant velocity V in an inertial reference frame (IRF) and having the inertial mass mo in reference frame in which it is at rest. That mind:
+ If a body moving with the velocity V1, then we have: m1 = mo.γ1;
+ If a body moving with the velocity V2, then we have: m2 = mo.γ2;
.....
+ If a body moving with the velocity Vn, then we have: mn = mo.γn;
....
where V1, V2, ... Vn are value of unchanging velocity in a time interval, corresponding to uniform straight-line move of a body, but not value of an instantaneous velocity; similar to that, the m1, m2...mn are value of corresponding inertial mass calculated in IFOR1, IRF2, ... IRFn correspondingly, but not value of mass m as function of velocity with usual understanding above a function: m = m(V), in which V is a variable, because any upheaval of a velocity V lead condition of a IRF is broke – Lorenz’s transformation no longer effective – and then “how can we have the formula (1)?” That right, replace Eq. (1) in to Eq. (2) is unpossible for derivation, because V don’t change, so m must be don’t change too. And this derivation must be equal to zero!!! That the formula E = mc^2 never have been proved ???