关于相对论的新观点：第一部分。基于对称性的惯性和相对论加速系统之间的运动学关系
A new view on relativity: Part 1. Kinematic relations between inertial and relativistically accelerated systems based on symmetry
摘要：
提出了与狭义相对论和广义相对论有关的几个新观点。黑箱方法用于两个惯性系或两个加速系之间的时钟和空间轴的同步以及它们之间的变换的推导。有两种一致的方法来定义输入和输出，以描述系统之间的变换和相对运动。标准的方法使用这两种方法的混合。通过将狭义相对论和广义相对论的原理表述为对称性原理，我们能够指定这些变换仅依赖于一个常数。如果常数为零，则变换成为伽利略变换。对于匀加速系统，时钟假说的有效性意味着零常数。如果这个常数不为零，我们可以引入一个度量，在这个度量下变换成为自伴的。在惯性系的情况下，度量是Minkowski度量，我们得到一个唯一不变的最大速度。相对论容许速度球在射影映射下是有界对称区域。对于匀加速系统，存在一个不变的\textit{maximal acceleration}的预测。这是描述均匀加速系统之间的变换而不假设时钟假设的唯一方法。
英文摘要：
Several new ideas related to Special and General Relativity are proposed. The black-box method is used for the synchronization of the clocks and the space axes between two inertial systems or two accelerated systems and for the derivation of the transformations between them. There are two consistent ways of defining the inputs and outputs to describe the transformations and relative motion between the systems. The standard approach uses a mixture of the two ways. By formulating the principle of special and general relativity as a symmetry principle we are able to specify these transformations to depend only on a constant. The transformations become Galilean if the constant is zero. Validity of the Clock Hypothesis for uniformly accelerated systems implies zero constant. If the constant is not zero, we can introduce a metric under which the transformations become self adjoint. In case of inertial systems, the metric is the Minkowski metric and we obtain a unique invariant maximal velocity. The ball of the relativistically admissible velocities is a bounded symmetric domain under projective maps. For uniformly accelerated systems the existence of an invariant \textit{maximal acceleration} is predicted. This is the only method of describing transformations between uniformly accelerated systems without assuming the Clock Hypothesis.
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