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# Exploring the Principle of Relativity for Particle Dynamics

Submit Time: 2022-01-29
Author: 陈驰一 1 ;
Institute: 1.Hangzhou Normal University;

## Abstracts

 本文着重探索了质点动力学的相对性原理的物理逻辑。通过动力学的因果分析，发现牛顿第二定律之所以存在惯性系和惯性力疑难，根本原因是忽略了参考系动力学的因果对应。参考系的动力学性质应该归结到参考质点上，而人为划分的参考质点和被考察质点在动力学中应该处于完全平等的地位，由此构建出一个不依赖惯性系，且在所有平动参考系保持形式不变的质点动力学方程。至于转动参考系，一方面，惯性力的本质经新形式的质点动力学方程揭示为参考质点的经过质量平权以后的真实受力，已经可以明确和引力在物理上不等效。另一方面，根据因果对应的基本法则,融入转动参考系的物理则必须包含四个不共面参考质点的受力和运动学信息,因此无法和平动参考系中的新形式质点动力学方程统一成一个简洁的方程形式。最后本文提议所有声称已推广到转动参考系的相对性原理值得重新审视，小心求证。 [英文摘要]This article investigates the physical logic of the principle of relativity for particle dynamics. Through the analysis of causal corresponding in dynamics, the reason why the puzzle of inertial force and inertial frame of reference exists in Newtonian Mechanics is uncovered to be that the causal corresponding of the frame of reference is neglected in the establishment of particle dynamics. The dynamical property of the frame of reference should be attributed to the particle of reference. At the same time, the particle of reference and the particle under studying should be put on the entirely equal status. Therefore, a new particle dynamics equation, which does not depend on the inertial frame of reference and keeps invariant in all translational frames of reference, is achieved. As for the rotational frame of reference, on the one hand, the nature of inertial forces has been revealed as the real force acting on the particle of reference with a mass-based weighting factor. It is clear that the physics effect of the gravitational force is not equal to that of the inertial force. On the other hand, according to the fundamental rule of causal corresponding, the physics of rotational frames of reference must contain dynamical properties of four non-coplanar particles of reference, hence it is difficult to be formulized into a concise equation. Finally, this article proposes that any kind of principle of relativity, as long as they declare to be generalized into the rotational frames of reference, should be re-examined.
From: 陈驰一
DOI：10.12074/202201.00124
Recommended references： 陈驰一.(2022).关于质点动力学的相对性原理的探索.[ChinaXiv:202201.00124] (Click&Copy)
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