质量的起源质量和质能方程的经典力学解
Origin of Mass. Mass and Mass-Energy Equation from Classical-Mechanics Solution
摘要：
我们建立了由无质量振荡元电荷形成的粒子的经典波动方程，以及由此产生的电磁波，其角频率通常为多普勒效应$\w$，在三维真空中。我们从这些解中得到粒子波的总能量为$\eng=\hbarc\w$，$2π\hbarc$是用波介质参数表示的函数，可以用普朗克常量表示。关于作为一个整体以有限光速$c$行进的波的训练，$\eng=mc^2$由此表示波训练的平移动能，$m=\hbarc\w/c^2$是其惯性质量，从而是粒子的惯性质量。在此基础上，给出了粒子德布罗意波参数的半经验方程。我们从现代实验的全部迹象的观点出发，对解答所暗示的质量的起源进行评论。
英文摘要：
We establish the classical wave equation for a particle formed of a massless oscillatory elementary charge generally also traveling, and the resulting electromagnetic waves, of a generally Doppler-effected angular frequency $\w$, in the vacuum in three dimensions. We obtain from the solutions the total energy of the particle wave to be $\eng=\hbarc\w$, $2π\hbarc$ being a function expressed in wave-medium parameters and identifiable as the Planck constant. In respect to the train of the waves as a whole traveling at the finite velocity of light $c$, $\eng=mc^2$ represents thereby the translational kinetic energy of the wavetrain, $m=\hbarc\w/c^2$ being its inertial mass and thereby the inertial mass of the particle. Based on the solutions we also write down a set of semi-empirical equations for the particle's de Broglie wave parameters. From the standpoint of overall modern experimental indications we comment on the origin of mass implied by the solution.
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