A question from a reader:
My dad always told me, after finishing a math problem for homework, ‘look at the answer and ask your self ‘does this answer make sense'” So, my question is: do the answers we get from the Wave Function make sense? And, if they don’t, shouldn’t folks like you consider finding a function that renders sensible answers?
I take it from the question that you feel that it doesn’t. The universe, unfortunately, doesn’t always conform to our common sense. We evolved in a world where knowledge on macroscopic (non-quantum) scales, non-relativistic speeds, and weak gravity were the norm, so time dilation or wave-particle duality are not part of the intuition wired into our brain. One of the amazing things about scientific discovery is that we’re able to overcome our natural intuition. The wave-function makes perfect sense in that it predicts (with astonishing accuracy) the behavior of all elements on the periodic table, astrophysical objects like white dwarves and neutron stars, the double slit experiment, radioactive decay and on and on. “Sensible,” in the case, should mean “correct,” and by that standard quantum mechanics (wave functions and all) is the single most successful theory in the history of science.