A question I've had about the black body problem and classical physics in general has to do with the conservation of energy. One of the first things you can derive in classical mechanics is that for a conservative force the total energy of the system doesn't change. However, one of the typical examples of the failure of classical mechanics is the prediction of infinite energy radiated by a black body radiator. My question is how the classical EM theory predicts the radiation of infinite energy when the EM force is conservative. Is there some assumption that allows for the breaking of the conservation of energy in this case?