wotanub
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As it has already been said, you shouldn't try to derive quantum mechanics with classical intuition. Classical mechanics is quantum mechanics within a limit. In many cases it is straightforward to revive the results of classical mechanics from quantum mechanics.
You keep going to the basketball in a hoop example. The basketball is a wave, but consider its wavelength with respect to the distance it travels and the size of the hoop. Now consider the wavelength of an electron compared to Young's slits.
You keep going to the basketball in a hoop example. The basketball is a wave, but consider its wavelength with respect to the distance it travels and the size of the hoop. Now consider the wavelength of an electron compared to Young's slits.