马赫原理II
Mach's Principle II
摘要：
阐述了马赫原理的含义和意义，以及马赫原理对相对论旋转坐标系理论和天球的依赖性。通过对旋转圆盘情形的线性模拟，引入了两个新的相对论旋转变换。然后用这些变换之一来分析广义相对论中公认的离心加速度公式。它表明，这个广义相对论公式是有效的，在所有的时空有一个地方的标准绝对零旋转。然后得出结论，所有可能的时空零测地线或光子路径的字段统一了整个时空的绝对本地非旋转标准。因此，马赫原理在狭义上成立，存在一个与天球视自转有关的绝对局部自转率的普遍标准。然而，这种视在旋转实际上是地球相对于零测地线端点的局部映射的旋转，该零测地线端点从该时间和空间遥远的球体到局部零旋转环境中的局部时间。没有发现局部惯性与天球的联系。
英文摘要：
The meaning and significance of Mach's Principle and its dependence on ideas about relativistic rotating frame theory and the celestial sphere is explained and discussed. Two new relativistic rotation transformations are introduced by using a linear simulation for the rotating disc situation. The accepted formula for centrifugal acceleration in general relativity is then analysed with the use of one of these transformations. It is shown that for this general relativity formula to be valid throughout all space-time there has to be everywhere a local standard of absolutely zero rotation. It is then concluded that the field off all possible space-time null geodesics or photon paths unify the absolute local non-rotation standard throughout space-time. Thus it is suggested that Mach's principle holds in the restricted sense that there is a universal standard of absolute local rotation rate related to the apparent rotation of the celestial sphere. However this apparent rotation is actually the earth's rotation relative to a local mapping of null geodesic endpoints from that time and space distant sphere to the local time in the local zero-rotation environment. A connection of local inertia with the celestial sphere is not found.
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