What sort of answer do you want?
The empirical one (people have always observed that it is so), the electrodynamical answer (the force law between charges depends on the product [itex]q_1 q_2[/itex]), the field theoretical one or the standard-model argument?
My point it, is seems to be such a basic fact of nature that you can get as fundamental as you want.
i can explain why its the state of minimum energy.
the energy in each infinitesimal part of the field is proportional to the square of the field intensity. when 2 like charges overlap then their fields are everywhere doubled. hence four times the energy of a single particle is stored. when they repel apart that leaves half the energy to be released as kinetic energy.