You said :
"This idea that the electon is in some fuzzy position described by its probability is an epistemological statement -- not a physical one. The electron wave is somewhere 100% of the time in definite form."
But a wave does not have a definite position because the energy is spread out over some region of space, so we can only give a proability of the wave being at a particular point at a particular time.
The double slit experiment "proves" that electrons are waves, whilst the photoelectric effect "proves" that electrons are particles (and not waves).
Classical mechanics is inadequate to describe these kinds of behaviour, hence the development of quantum mechanics. But what you find with quantum mechanics is that as the wave / particle size increases the results are identical with classical mechanics. A good example of this is the simple harmonic oscillator.
It's all good stuff.
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You said : "This idea that the electon is in some fuzzy position described by its probability is an epistemological statement -- not a physical one. The electron wave is somewhere 100% of the time in definite form." But a wave does not have a definite position because the energy is spread out over some region of space, so we can only give a proability of the wave being at a particular point at a particular time. The double slit experiment "proves" that electrons are waves, whilst the photoelectric effect "proves" that electrons are particles (and not waves). Classical mechanics is inadequate to describe these kinds of behaviour, hence the development of quantum mechanics. But what you find with quantum mechanics is that as the wave / particle size increases the results are identical with classical mechanics. A good example of this is the simple harmonic oscillator. It's all good stuff.