Charge density in special relativity[edit]
Further information: classical electromagnetism and special relativity and relativistic electromagnetism
In special relativity, the length of a segment of wire depends on velocity of observer because of length contraction, so charge density will also depend on velocity. Anthony French[4] has described how the magnetic field force of a current-bearing wire arises from this relative charge density. He used (p 260) a Minkowski diagram to show "how a neutral current-bearing wire appears to carry a net charge density as observed in a moving frame." It turns out the charge density ρ and current density J transform together as a four current vector under Lorentz transformations.經典電磁理論的協變形式- 維基百科，自由的百科全書
zh.wikipedia.org/zh-hant/经典电磁理论的协变形式
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