基于电磁场力学模型和球形电荷源汇模型的库仑定律推导
Derivation of Coulomb's law based on a mechanical model of electromagnetic field and a spherical source and sink model of electric charges
摘要：
我们假设真空中充满了一种连续分布的物质，这种物质可称为$Ω(1)$底层，或电磁以太。假设宏观观测者的时间尺度与$Ω(1)$底层的麦克斯韦弛豫时间相比非常大。因此，宏观观察者得出结论，$Ω(1)$底层表现得像牛顿流体。灵感来自H。A. Lorentz，我们推测电荷可能是极小的硬球源或有限半径的球汇。基于电荷的球源球汇模型，导出了真空中静电电荷相互作用的库仑定律。进一步推导出真空中静电电荷洛伦兹力定律的简化形式。
英文摘要：
We suppose that vacuum is filled with a kind of continuously distributed matter which may be called the $Ω(1)$ substratum, or the electromagnetic aether. Suppose that the time scale of a macroscopic observer is very large compares to the the Maxwelllian relaxation time of the $Ω(1)$ substratum. Thus, the macroscopic observer concludes that the $Ω(1)$ substratum behaves like a Newtonian-fluid. Inspired by H. A. Lorentz, we speculate that electric charges may be extremely small hard spherical sources or spherical sinks with finite radii. Based on the spherical source and spherical sink model of electric charges, we derive Coulomb's law of interactions between static electric charges in vacuum. Further, we derive a reduced form of the Lorentz's force law for static electric charges in vacuum.
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