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AN EXTENSION OF SPECIAL RELATIVITY THEORY TO VARIABLE MOTION

机译：特殊相对论对可变运动的扩展

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In this paper Lorenz transformation of variable velocity motion is derived and the theorem of velocity addition in variable velocity motion is given out., under the premiss that relativistic principle is satisfied and only the velocity of light is assumed to be invariable in the straight line relative moving direction. It is proven that the velocity of light in the non-relative motion direction is no longer satisfied with the Einstein principle of light velocity invariance and is also proven that the relative velocity of two reverse moving bodies with uniform accelerations (the velocity of each body is not greater than that of light) may exceed the velocity of light. The kinematic effect of variable velocity relative straight-line motion is also studied systematically, where a Doppler formula of uniform accelerating motion obtained first time shows that the receiving frequency is related not only with the initial velocity of motion, but also with the acceleration. Examples given in the end of this paper show the practicality and accuracy of the extension . From this paper all the related results of the special theory of relativity currently in effect can be obtained by simply deducing the extension.
机译：本文推导了变速运动的洛伦兹变换，给出了变速运动中的速度加定理。在满足相对论原理的前提下，仅假设光速在直线相对位置不变。移动方向。证明了光在非相对运动方向上的速度不再满足爱因斯坦关于光速不变性的原理，并且还证明了两个反向运动的物体的相对速度具有相同的加速度（每个物体的速度为（不大于光的速度）可能会超过光速。还系统地研究了变速相对直线运动的运动学效果，首次获得的匀速运动的多普勒公式表明，接收频率不仅与运动的初始速度有关，而且与加速度有关。本文最后给出的例子说明了该扩展的实用性和准确性。从本文中，可以通过简单地推导扩展来获得当前有效的狭义相对论的所有相关结果。

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