How to Solve the Velocity Paradox in Special Relativity

The present study examined the relativistic interpretation of the increased lifetime of high speed elementary particles, which is an important experimental evidence of time dilation. It is found that the principle of relativity cannot be upheld for both the distance and the velocity between the particle frame and the earth frame in special relativity. For the particle frame, the velocity obtained by directly using the principle of relativity is different from that computed from the distance and the time interval of the particles’ proper lifetime, hence a velocity paradox. The relativistic interpretation needs to stipulate that the distance between the earth and the particles observed by the earth frame is larger than the same distance observed by the particle frame, which contradicts the principle of relativity. The aim of the present study is to present this velocity paradox to researchers and teachers in physics, in order to find a satisfactory solution.