%0 Journal Article
%A DAI Youshan
%A DAI Liang
%T Universal Mass-Velocity Relation and Special Relativity
%D 2014
%R
%J Acta Scientiarum Naturalium Universitatis Pekinensis
%P 403-410
%V 50
%N 3
%X Based on the principle of relativity and conservations of momentum and energy, the authors present a proof that the relativistic energy has to be proportional to the relativistic mass. The proof is new in that it is not built upon the assumption of constant speed of light, nor it requires any specific form of space-time transformation. A differential equation for the mass-velocity relation is derived and solved, from which an universal relativistic mass-velocity relation can be obtained and a speed limit vm automatically arises. The mass-velocity relation applies to tardyons which motion are slower than the speed limit and have a rest mass, to tachyons which motion are faster than the speed limit and do not have rest mass, and to constons which always travel at the speed limit and also do not have rest mass. Furthermore, the generalized Lorentz transformation for kinematics, as well as the mass-energy and energy-momentum relations for dynamics can be determined, and thus a more general theory of special relativity is developed. Such new theory of relativity holds consistently regardless of whether any tachyons or constons exist, or whether any superluminal phenomenon is observed. The value for the speed limit can be measured by experiments. In the case vm= c, the conventional relativity is recovered, and the constant speed of light becomes a corollary of the relativity theory.
%U https://xbna.pku.edu.cn/EN/abstract/article_2552.shtml