The quantum theory is the most successful physical theory of all time. The highest formulation of the quantum theory is the Standard Model, which represents the fruit of decades of experiments with particle accelerators. Parts of this theory have been tested to 1 part in 10 billion. If one includes the mass of the neutrino, then the Standard Model is consistent with all experiments on subatomic particles, without exception.
I get that the Standard Model can be tested in terms of practical observation. For example, experience tells is that when an observed waveform is X then the Y should be the case. But how do you test what a wave form IS, in a philosophical sense? How do you prove its nature? It seems we're proving the former and yet asserting the latter.

