c等效原理与麦克斯韦方程组的正确写法
The c equivalence principle and the correct form of writing Maxwell's equations
摘要：
众所周知，速度$c_u=1/\sqrt{ε_0μ_0}$是在定义SI单位的过程中通过作用在一定距离上的力获得的，如两个静电荷之间的力和两个长而平行的电流之间的力。速度$c_u$于是在物理上不同于观察到的与真空中的电磁波相关联的传播速度$c$。然而，重复的实验已经导致了数值等式$c_u=c,$，我们称之为$c$等效原理。本文指出，在不假定$c$等效原理的情况下，$\nabla\times{\bf E}=-[1/(ε_0μ_0 c^2)]\partial{\bf B}/\partial t$是法拉第定律的正确写法。在不假设$c$等价原理的情况下，我们还讨论了麦克斯韦方程组的协变形式。
英文摘要：
It is well-known that the speed $c_u=1/\sqrt{ε_0μ_0}$ is obtained in the process of defining SI units via action-at-a-distance forces, like the force between two static charges and the force between two long and parallel currents. The speed $c_u$ is then physically different from the observed speed of propagation $c$ associated with electromagnetic waves in vacuum. However, repeated experiments have led to the numerical equality $c_u=c,$ which we have called the $c$ equivalence principle. In this paper we point out that $\nabla\times{\bf E}=-[1/(ε_0μ_0 c^2)]\partial{\bf B}/\partial t$ is the correct form of writing Faraday's law when the $c$ equivalence principle is not assumed. We also discuss the covariant form of Maxwell's equations without assuming the $c$ equivalence principle.
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