运动可变集上的抽象坐标变换及其性质
Abstract Coordinate Transforms in Kinematic Changeable Sets and their Properties
摘要：
狭义相对论的基本假设之一是惯性参考系存在一个统一的坐标变换系统，即由物质点的时空坐标唯一确定的坐标变换。本文发展了运动可变集坐标变换的抽象数学理论。特别是它被证明存在的运动学，不允许通用的坐标变换的形式的可能性。这种运动学可以用来模拟在光速依赖于粒子的假设条件下物理系统的演化。
英文摘要：
One of the fundamental postulates of the special relativity theory is existence of a single system of universal coordinate transforms for inertial reference frames, that is coordinate transforms, which are uniquely determined by space-time coordinates of a material point. In this paper the abstract mathematical theory of coordinate transforms in kinematic changeable sets is developed. In particular it is proved the formal possibility of existence of kinematics, which do not allow universal coordinate transforms. Such kinematics may be applied for simulation the evolution of physical systems under the condition of hypothesis on existence of particle-dependent velocity of light.
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