Usually in classical dynamics the fundamental quantities of electromagnetism are considered to be the electric and magnetic fields. However, in quantum dynamics, the fundamental quantities of electromagnetism are the potentials. To solve this confusion there is a discussion of how the concepts of the central force and the conservative force in Newtonian dynamics are extended if the Galilean transformation is replaced by the Lorentz transformation. As a result, if only the conservativeness, linearity, and wave nature of field are assumed, a relativistic potential can be axiomatically defined and the dynamical equations that are similar to the equation of motion, the Lorentz condition, and the field equation for the potentials of electromagnetism can be composed. Then, the concept of charge can be introduced leading to electromagnetism without the electric and magnetic fields and the inverse‐square law. Thus even in classical dynamics the fundamental quantities of electromagnetism are the potentials. The discussion above is important in the understanding of the mutual relations among Newtonian dynamics, the special theory of relativity, and electromagnetism.

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