根据相对论时空的Woodhouse因果公理的共形真时
Conformal proper times according to the Woodhouse causal axiomatics of relativistic spacetimes
摘要：
在Woodhouse因果公理的基础上，我们证明了共形真时和一个额外的变量，除了空间和时间，精确和物理识别的实验例子，一起给出了物理理由的“测时假设”的广义相对论。事实上，我们表明，缺乏这后两个成分，没有时钟悖论的解决方案存在的时钟和消息功能是唯一的起源的不对称性。这些真时源于一个给定的共形结构的时空时，赋予不同的兼容投影结构的每个伍德豪斯粒子，然后，每个定义一个特定的韦利层结构。另外，作为两个点函数的时间参数化不能与物理特性的相对变化过程无关。这些过程通过依赖于路径的共形尺度因子来包含，这些因子就像任何物理相互作用的插座一样，也代表了与额外维度相关的变量的值。因此，差异老化的差异远远超过了外尔几何中的第一和第二时钟效应，后者最终似乎不合适。
英文摘要：
On the basis of the Woodhouse causal axiomatics, we show that conformal proper times and an extra variable in addition to those of space and time, precisely and physically identified from experimental examples, together give a physical justification for the `chronometric hypothesis' of general relativity. Indeed, we show that, with a lack of these latter two ingredients, no clock paradox solution exists in which the clock and message functions are solely at the origin of the asymmetry. These proper times originate from a given conformal structure of the spacetime when ascribing different compatible projective structures to each Woodhouse particle, and then, each defines a specific Weylian sheaf structure. In addition, the proper time parameterizations, as two point functions, cannot be defined irrespective of the processes in the relative changes of physical characteristics. These processes are included via path-dependent conformal scale factors, which act like sockets for any kind of physical interaction and also represent the values of the variable associated with the extra dimension. As such, the differential aging differs far beyond the first and second clock effects in Weyl geometries, with the latter finally appearing to not be suitable.
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