This paper introduces Anton Bopp's (1900--1971) comprehensive vibratory-hydro-dynamic model to the international scientific community. Bopp's unpublished manuscripts present a unified theory spanning cosmic to atomic and subatomic scales, using the hydrogen atom as a universal archetype. The model demonstrates a remarkable capacity to derive fundamental physical constants through mathematical relationships involving the foundational set ${pi, e, 1, 2, 3}$. While Bopp's primary focus was operational---developing practical tools for physical applications---his work reveals, as a natural byproduct, deep connections between mathematical principles and physical reality. This paper highlights selected findings of particular significance, situating Bopp's contributions within the historical continuum from Pythagorean harmony to Wigner's "unreasonable effectiveness of mathematics," suggesting that physical laws emerge from mathematical substrates rather than merely being described by them.