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Re: Is Quantum Mechanics Just a Math Trick?
The rules weren't changed because they didn't know how it works, but because it was the only way to describe in better agreement the reality.
All the QM started by trying to describe the radiation of the black body, Planck introduced his h constant in describing this radiation; he so managed to find a formula that described both the radiation at high and low frequency, before there were two separate laws (one of Wien and the other one I don't remeber whos it was). So he introduced his constant and then the observation was in agreement with the theory.
Not long after Poincaré deduced that quantification of the energy from planck's law.
Soon after came Niels Bohr, who used the quantification of the energy (he used the Sommerfeld condition, which may be applied to multipl periodic systems, integral (p dq)=h nu, with nu the frequency) to make a theory which described the spectra of the hydrogen atom (and the Stark effect). Bohr's theory wasn't able to describe the spectra of the atomes with more than 1 proton. Afterwards came Schrödinger, Heisenberg who is responsible for the introduction of the matrixes (even if it was Jordan an Max Born who recognised his way of calculating as matrix multiplication). And so we come to the well-known schrödinger equation (which exists in the heisenberg and the schrödinger notation), from where were deduced many of this things that you defined as a "bit of creationism".
I hope this clarifies it a bit.
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