Generalized dynamics equation with causal symmetry

IF 1.5 4区 工程技术 Q3 MECHANICS
ChiYi Chen
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引用次数: 0

Abstract

The particle dynamics equation’s formal logic is examined in the context of classical mechanics to investigate the nature of inertial forces. Firstly, a fresh perspective on the dual dependence of the inertial reference frame and inertial force in Newtonian dynamics is presented. The causal relationship on both sides of Newton’s second law is found to be asymmetrical and inconsistent. Secondly, a more general particle dynamics equation, applicable in any translational frame of reference without additional assumptions, is introduced. Essentially, Newton’s second law is only an extreme case of the newly generalized dynamics equation since in Newton’s second law an entire term of the forces acting on the reference object is omitted. The nature of inertial force is unveiled as the mass-ratio weighted real force acting on the reference object. This qualitative explanation is entirely naturalistic as the reference frame’s acceleration depends directly on the acceleration of its reference object(s), and the acceleration of every reference object depends directly on the forces acting on this reference object.
具有因果对称性的广义动力学方程
在经典力学的背景下研究粒子动力学方程的形式逻辑,以探究惯性力的本质。首先,对牛顿动力学中惯性参照系和惯性力的双重依赖性提出了新的看法。发现牛顿第二定律两边的因果关系是不对称和不一致的。其次,引入了一个更通用的粒子动力学方程,该方程适用于任何平移参照系,无需额外假设。从本质上讲,牛顿第二定律只是新通用动力学方程的一个极端情况,因为在牛顿第二定律中,作用在参照物上的整个力项都被省略了。惯性力的本质被揭示为作用在参照物上的质量比加权真实力。这种定性解释完全符合自然规律,因为参照系的加速度直接取决于其参照物体的加速度,而每个参照物体的加速度直接取决于作用在该参照物体上的力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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