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一个可供选择的非惯性参照系的时空理论

已有 2775 次阅读 2017-6-10 15:41 |个人分类:理论介绍|系统分类:论文交流| 时空, 相对论, 引力, 非惯性参照系, 黎曼时空

摘要


本文基于广义完整性要求(RGC)和所有参照系等价原理(PERF)提出了一个可供选择的非惯性参照系(NRF)的时空理论。RGC是,描述物质和(或)场的动力学物理方程应该不仅包含物质和(或)场的静止状态,而且包含其相对于参照系的运动状态的描述,并考虑到了参照系的时空结构。PERF是任何参照系都能被用于描述物质和(或)场的运动。非惯性参照系的时空是不均匀的和变形的,它由参照系的加速运动引起。惯性力是时空变形的体现。非惯性参照系的时空的黎曼曲率张量为零,但是其仿射联络不管在非惯性参照系里选择什么样的坐标系都不会为零。满足广义完整性要求的物理方程在参照系之间的坐标变换下保持协变。马赫原理是不正确的。非惯性参照系的时空问题能够被解决而不需要考虑引力问题。


Abstract

In present paper, we have proposed an alternative theory on the spacetime of non-inertial reference frame (NRF) which bases on the requirement of general completeness (RGC) and the principle of equality of all reference frames (PERF). The RGC is that the physical equations used to describe the dynamics of matter and/or fields should include the descriptions that not only the matter and/or fields are at rest, but also they move relative to this reference frame, and the structure of the spacetime of reference frame has been considered. The PERF is that any reference frame can be used to describe the motion of matter and/orfields. The spacetime of NRF is inhomogeneous and deformed caused by the accelerating motion of the reference frame. The inertial force is the manifestation of deformed spacetime. The Riemann curvature tensor of the spacetimeof NRF equals zero, but the Riemann-Christoffel symbol never vanishs no matter what coordinate system is selected in the NRF. The physical equations satisfied the RGC remain covariance under the coordinate transformation between the reference frames. Mach’s principle is incorrect. The problem of spacetime of NRF can be solved without considering gravitation.


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