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Mass and Mass-Energy Equation from Classical Mechanics Solution

机译:来自经典力学解的质量和质量能方程

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We establish and solve the classical wave equation for a particle formed from a massless oscillatory charge and the resulting electromagnetic waves of frequency co in the vacuum. We obtain from its wave-function solution the total energy of the particle wave to be e = hca>, 2ntic being a function expressed in wave-medium parameters and identifiable as the Planck constant. The source charge, hence the particle, may be generally traveling; co thus depends on the particle's motion owing to its source-motion resultant Doppler shift. The train of waves traveling as a whole at the finite velocity of light c has apparently an inertial mass m, and hence the Newtonian translational kinetic energy me2 = s, where m = hcco/c2 m is thereby in turn 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.
机译:我们建立并求解了由无质量振荡电荷和真空中产生的频率为co的电磁波形成的粒子的经典波动方程。我们从其波函数解中获得粒子波的总能量为e = hca>,2ntic是用波介质参数表示并且可以识别为普朗克常数的函数。源电荷,因此是粒子,通常可能正在传播;由于粒子运动引起的多普勒频移,因此co取决于粒子的运动。整个以光的有限速度c传播的波列显然具有惯性质量m,因此牛顿平移动能me2 = s,其中m = hcco / c2 m进而是粒子的惯性质量。根据解决方案,我们还为粒子的de Broglie波参数写下了一组半经验方程。从整体现代实验指示的角度,我们对解决方案隐含的质量起源进行了评论。

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