1) I'm not sure that I understand your argument correctly, it's very short, but let me quote Wikipedia: Quantization is the process of constraining an input from a continuous or otherwise large set of values (such as the real numbers) to a discrete set (such as the integers).
2) Lets me quote very beginning of book about Quantum(Integer) Mechanics again:
Chapter 2
The Formulation of Quantum Mechanics
2.1
Basic Theoretical Concepts
Every physical theory involves some basic physical concepts, a mathematical formalism, and set of correspondence rules which map the physical concepts onto the mathematical objects that represent them. The correspondence rules are first used to express a physical problem in mathematical terms. Once the mathematical version of the problem is formulated, it may be solved by purely mathematical techniques that need not have any physical interpretation. The formal solution is then translated back into the physical world by means of the correspondence rules.
3) Of course, you are right. Walking droplet is 2D system while quantum world is 3D system. We cannot compare 2D system with 3D system, like we cannot compare 1D system with 2D system. They are very different worlds.
But, can we reproduce this strange behavior of this 2D macro-system, when oil droplet behaves like mater and wave at same time, at quantum scale?
It's demonstrated that walking droplets are working on white noise, so we need a noise generator. Casemir effect demonstrates that quantum world is full of strong white noise.
We also need to have waves around a particle. IMHO, electron is good candidate for that: it has strong EM field and very lightweight. White noise will cause vibrations. Accelerated charged particle will generate EM waves, fueled by energy of PV/QF/QA/E/YNI, not by energy of electron itself(!).
However, these EM waves must be converted but into thermal energy of PV/QF/QA/E/YNI, otherwise all energy of PV will be converted into EM waves, and vibrations will stop. As we see in interstellar red shift effect, light ages with distance, and more frequent light ages more quickly (confirmed using multiple wavelengths with high confidence). IMHO, it because EM waves are interacting with non-zero fluctuations of QF: they have charge, so they can draw energy from EM waves. Electron has high frequency of vibration and his EM waves are very weak, so his EM waves will die in 4E4-4E10km range (very rough calculations).
Also, we need two slits. Not a problem. Then we will shot electron trough one slit, while his companion EM waves will go trough both slits, cause interference and change course of electron, so it will show interference pattern. Looks doable.
What you think? Can we reproduce this weird dual wave-droplet behavior at quantum level?