Are rigid non-inertial frames of reference really rigid?

可模拟引力场的非惯性系

Non-inertial frames that can mimic gravitational fields

针对等效原理因未涉及黎曼张量而物理内涵模糊的问题，本文给出可模拟给定黎曼张量对应引力场的Born刚性类Rindler参考系加速度分布，推导含离心、科里奥利项的广义偏差方程，建立旋转惯性系角速度与黎曼张量的关联，并评述其对马赫原理的意义。

Quantum Mechanics in Non'Inertial Frames with a Multi'Temporal Quantization Scheme: I) Relativistic Particles

We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the description of N positive energy particles in the framework of parametrized Minkowski theories. Then we define a multi-temporal quantization scheme in which the particles are quantized, but not the gauge variables describing the non-inertial frames: {\it they are considered as c-number generalized times}. We study the coupled Schroedinger-like equations produced by the first class constraints and we show that there is {\it a physical scalar product independent both from time and generalized times and a…

关于逆运动学问题的方程

On the equations of the inverse kinematics problem

本文从固有加速度和角速度出发，推导出求解刚性非惯性参考系运动参数的Riccati型非线性微分方程及确定坐标系取向的方程组，并在均匀旋转圆盘上验证了其正确性。

Instantaneous Inertial Frame but Retarded Electromagnetism in Rotating Relativistic Collapse

Slowly rotating collapsing spherical shells have flat spaces inside and the inertial frames there rotate at omega_s(t) relative to infinity. As first shown by Lindblom & Brill the inertial axes within the shell rotate rigidly without time delays from one point to another. Although the rotation rate of the inertial axes is changing the axes are inertial so, relative to them, there is neither an omega dot_s times r (Euler) fictitious force nor any other. However, Euler and other fictitious forces arise in the frame which is at rest with respect to infinity. An observer at the center who looks in…

About Lorentz-Møller-Nelson transformation to rigid noninertial frame of reference

With a special Lorentz-Møller-Nelson (LMN) transformation found transformation of velocity from the laboratory system S to an accelerated, rotating frame of reference s. The physical sense of parameter entering into the LMN special transformation is established. For small distances, and their proper smooth motion without jerks suggested the inverse special LMN transformation. The main consequences of this transformation is considered, namely, a) the desync in moving frame of reference s of proper clocks of the pre-synchronized in the laboratory frame S and b) the Lorentz contraction of proper …