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Toan

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  1. The inertial phenomenon whose characteristic quantity is that the inertial mass is one of the natural phenomena known soonest but its nature has so far still been a big scientific enigma. On the basis of analyzing trends of cognizing the definition of inertial mass from the past up to present, the author has found another approach to the nature of this phenomenon, that is the limited time of all processes of energy exchange. In the mechanics, the finiteness of the time of energy exchange leads to the motion of the body with the limited acceleration. It does prove the portion between the potential field force and the motion acceleration of the body in the potential force field, that is a constant entity for each body, not depending on its motion; that is the inertial mass that has been hiding for a long term. Thanks to that, it is also to accurate the law of freely falling body and the principle of equivalence is also a long term enigma up to date. In addition, it has developed the general laws of dynamics for all frames of reference, not only for the inertial frame of reference. See full paper in Nature_of_inertia.pdf
  2. The formula E = mc2 is 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’s 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) is 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 the body 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 = mc2has never been proven ???
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