there are no electromagnetic waves? All I know is that there is a modified version of the Maxwell equations (in differential form) for such a universe, such as (the arrows represent vector arrows): →∇x →B = μ0 →j + μ0 ε0 ∂→B/∂t instead of having ∂E/dt in the last term (which would be the case for the normal universe; also the other Maxwell equations in differential form stay the same for the real universe and this EMW-less universe, apparently). How would one derive the Maxwell's equations for this imaginary universe that has no electromagnet waves, in their simplest form? What are the consequences of such an EMW-less universe, i.e. what do no EMW's describe/imply for the universe and the bodies within it? Also, based on some google searches I realized that apparently sine and cosine can not be solutions of these equations? Finally, I would like to add that this topic is well beyond scope of our physics class's syllabus but was just given to us as an additional guided reading but I do not understand how one can answer this abstract yet math-dependent question. Therefore, I would appreciate any detailed input. Thank you.