First off, mathematics did actually reinvent itself in the late 1940s, with the discovery of Category Theory, which, despite being sometimes called “abstract nonsense”, has found its way into theoretical physics. Further, there is nothing mystical at all in any of the concepts of the modern physics - not more anyway than in the concept of, say, the atom. It is actually math that should be credited with the removal of the shroud of mysticism perceived by some - perhaps even many - of the uninitiated. (Physics is not an exception here - some people still look at a working computer as a miracle, for example.) And the homogeneity at the scales at which there’s just too many things to allow for much diversity should, too, be seen as one of the manifestation of the absence of any true mystery in the universe.