标题： 洛伦兹变换的非结合性与关联反射对称变换 显示英文标题

标题： Non-Associativity of Lorentz Transformation and Associative Reflection Symmetric Transformation

摘要： 每个移动的观察者都会观测到另一个观察者的相对速度。这两个速度应该是大小相等、方向相反的。我们已经证明洛伦兹变换不能满足这一相对论要求。我们也已经证明了原因在于洛伦兹变换不具备结合律。互易对称变换既具备结合律又能满足相对论要求。 显示英文摘要

摘要： Each of the two moving observers observes the relative velocity of the other. The two velocities should be equal and opposite. We have shown that this relativistic requirement is not fulfilled by Lorentz transformation. We have also shown that the reason is that Lorentz transformation is not associative. Reciprocal symmetric transformation is associative and fulfills relativistic requirements.