φ(r, t) = Z d 3 r 0 ρ(r 0 , t) |r − r 0 | (1.4.35) In Eq. (1.4.35), the potential φ at position r is instantaneously determined by the charge density ρ at positions r 0 that are a finite distance away. Is this spooky action-at-a-distance? Does it worry you that causality seems to be violated? Information at r 0 seems to be instantly conveyed to the distant point r, even though nothing can travel faster than the speed of light.

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