关键词: 速度上限, 广义洛伦兹变换, 光速不变原理, 狭义相对论

Abstract: The author presents a proof that the Galilean transformation is the only linear transformation of space and time that permits an arbitrarily large speed for particles which have rest frame. Consequently, there is a finite speed limit for any non-Galilean linear transformations. Given such speed limit vm, a new derivation of the relativistic mass-velocity and mass-energy relations for massive particles is presented, and then obtains the general Lorentz transformations based on the consideration of relativistic dynamics. New derivation does not require the assumption of constant speed of light, nor is it restricted to particular form of space and time transformation. The new relativistic formulas are not related directly to the speed of light c, but are instead parameterized by the speed limit vm. The well-known Galilean transformation is recovered from the general Lorentz transformation by taking the vm→∞ limit, and the numerical value of vm should be determined from experiments.

Key words: upper limit for speed, general Lorentz transformation, principle of constant speed of light, special relativity