加速度依赖的自相互作用效应作为一种可能的惯性机制

非惯性参考系中质点加速度的另一种推导方法

A different derivation of the acceleration of a particle in a non-inertial reference frame

本文利用复平面上复数的几何关系，导出了一种新的质点在非惯性参考系中加速度的推导方法，其中考虑了科里奥利效应。

A heuristic derivation of radiative power loss and radiation reaction from the kinetic power of electric inertial mass of a charge

It is shown that formulas for the radiative power loss and radiation reaction from a charge can be derived in a heuristic manner from the kinetic power (rate of change of the kinetic energy) of its electric inertial mass. The derivation assumes a non-relativistic but otherwise an arbitrary motion of the charge. We exploit the fact that as the charge velocity changes because of a constant acceleration, there are accompanying modifications in its electromagnetic fields which can remain concurrent with the charge motion because the velocity as well as acceleration information enters into the fiel…

Improved numerical plotting of elliptical orbits using radial action coordinates -- has the symmetry of Leibniz radial theory based on inertia versus gravity been ignored?

We that show two body gravitational orbits may be plotted using a radial reference frame rather than the customary Newtonian rectilinear inertial frame. Infinitesimal calculus cofounder and continental contemporary of Newton, Leibniz claimed that the second radial derivative could be found by taking the difference between an inertial force varying inversely, with the cubed radius and the gravitational force varying with an inversed squared radius. His radial method was severely criticised by Newton and supporters, who preferred the rectilinear inertial frame, also claiming Leibniz failed to sa…

加速老化的微分公式

Differential aging from acceleration, an explicit formula

我们考虑一个时钟的“悖论”的框架，观察者离开惯性系，被加速后，任意旅行回来。我们讨论了一个简单的方程，给出了，在1+1维的情况下，在惯性系上经过的时间和加速度测量的加速观察员在行程中的一个明确的关系。相对于惯性系的非闭合行程看起来相对于另一个合适的惯性系闭合。利用这一观察，我们定义的微分老化作为一个功能的适当的时间，并表明它是非递减的。重建问题的狭义相对论也进行了讨论，表明其，至少数值，解决方案将允许建设一个“惯性钟”。

Defining of three-dimensional acceleration and inertial mass leading to the simple form F=MA of relativistic motion equation

Newton second law of dynamics is a law of motion but also a useful definition of force (F=MA) or inertial mass (M=F/A), assuming a definition of acceleration and parallelism of force and acceleration. In the special theory of relativity, out of these three only the description of force (F=dp/dt) does not raise doubts. The greatest problems are posed by mass, which may be invariant rest mass or relativistic mass or even directional mass like longitudinal mass. This results from breaking the assumption of parallelism of force and standard acceleration. It turns out that these issues disappear if…

加速度和定域性在孪生佯谬中的作用

The role of acceleration and locality in the twin paradox

我们研究了加速度在孪生子悖论中的作用。从加速度观测者和惯性观测者的坐标变换中，我们发现，从加速度观测者的观点来看，时间的微分流逝率不仅取决于相对速度，而且还取决于加速度与观测者之间的距离的乘积。然而，该结果不具有直接的操作解释，因为在某个位置处的观察者只能测量在相同位置处定义的物理量。对于局部测量，两个观察者之间的不对称性可以归因于这样的事实，即与惯性坐标系相反，非惯性坐标系只能在局部被正确解释。