It is fascinating to me that my favorite definition of energy (Noetherian energy) relies on the assumption of such regularities in the universe. This is so true, that to some extent modern scientific models are based on this underlying Lagrangian path. In other words, since the real (as in true) path's derivative is (classically) defined as zero, any changes would show up as energy changes in the model.Exactly. And this is where the problem of induction comes in: how are you able to know whether your knowledge will continue to be useful? Any expectation that it will be useful for some period of time presumes certain regularities about the universe. The challenge is identifying what these regularities are in every instance so that we can bolster our inductive reasoning.
Thus, to some extent, irregularities do exist as energy changing form. Of course we observe these changes and account for them in our models. Whenever we find a new change, we account for it as a new form of energy. Thus we change our model to match our changing universe.