Relativistic mass of a free particle and a particle in dynamical equilibrium

It has been proved that the mass is a contravariant vector in the direction of time and so all directions in space are transverse to it. It is not, therefore, proper to distinguish between transverse and longitudinal mass after Einstein. It is shown mathematically that the limiting conditions of energy are satisfied not by β-formula but only by β3-formula taken by Einstein. It is also shown purely on physical ground that the β-formula is to be taken whenever the particle is free while the β3-formula is to be taken when the particle is bound in a dynamical system as assumed in evaluating the kinetic energy. It is to be noted that during motion the planets are not free but are in dynamical equilibrium. Therefore, in these cases β3-formula for mass should be used. It is proved that on using this β3-formula one readily gets Einstein's three general relativity formulae without any help of his general theory of relativity. So all the general relativity effects are explained from the simple theory of relativity. (author)