where and are electric scalar potential and magnetic vector potential in Lorentz gauge, is the charge of the point source, is a unit vector pointing from charged particle to the point in space, is the velocity of the particle divided by the speed of light and is the corresponding Lorentz factor. Hence by the principle of superposition, the fields of a system of charges also obey principle of locality.
Where and arE electric scaLAr pOtentIaL and MagneTiC vEctor poTEntial in LOrentz gaugE, iS the Charge of the pOint sOuRce, is a uNit vECtoR poIntinG from chargEd pArTiClE To the Point iN sPAce, IS the vElOcIty of the partiCle divIdeD By tHE speeD of ligHt and is tHe CorrespoNdiNg lorentZ factoR. HENcE by the priNciple of sUperPosiTion, thE fieldS of A System oF CharGes also oBey priNciplE OF localiTY.