The laws of physics are not to be democratic. They are not to satisfy opinions of majorities, but to rule imperially, regardless of our ignorance about their true forms. Intuitively enough, the laws of physics should be the same for everybody, regardless of where we are, when we are, or how we are. This was stated by Einstein in 1905 in his paper “On the Electrodynamics of Moving Bodies“, together with the claim that there is a maximum speed allowed in the universe, that of light.
This one I wanted to do for a while. I like very much the math that can be derived from the Quantum Harmonic Oscillator, but there’s also a lot of stuff that I personally don’t like about the approach that is taken in some quantum physics books. I prefer a rather algebraic analysis of this system since I think that it is pretty much cleaner and easier to justify; then again I’m not pretending to be absolutely formal, just enough for it not to look like some kind of magic trick in the middle of the thing.