I know the Rayleigh-Jeans law and how the formula predicts UV catastrophe. Without getting into the exact derivation, I am trying to get some intuitive understanding of it by using some of the broad arguments that they used, based on whatever I found on the net and various books looks like they applied statistical physics method to waves.
They assumed that total energy of radiation is equally distributed among all possible frequencies. I get that. I guess I am struggling with the 2nd argument which was there is no limit on the number of modes of vibrations that can excited? Why would there be no limit? Can someone please explain?