Reference: Essays on Substance
The Particle-Wave Contradiction
Light is neither a wave that requires a medium, nor it is a particle that requires a center of mass. Light is a continuous substance that has consistency. The same goes for an electron.
The electron is like a homogenous drop of substance. By itself, an electron may be represented mathematically as a point particle; but it is indistinguishable from other electrons inside the electronic fluid that swirls around the nucleus of an atom. It is obvious from the Heisenberg Uncertainty Principle that electrons are not point particles in a literal sense with exactly defined locations.
The consistency of electrons is very small compared to the nucleus, but their volume is very large. The electronic substance flows homogeneously throughout this volume. Therefore, the electrons have wave properties represented by de Broglie wavelength. Electrons have their own medium, they are not waves in another medium. Electrons are also homogeneous with a volume, and are not point particles, in a literal sense, that cannot be split.
The electrons can easily split as homogenous drops of electronic fluid in the double-slit experiment and splatter on the back screen making “point” impressions. When accumulated in sufficient quantity, such impressions generate the interference pattern typical of wave characteristics.
The discrete energy levels in the electronic region of an atom are resonances similar to the interference patterns. These energy levels decrease in their consistency the farther they get from the nucleus. They, ultimately, reduce to the same consistency as the surrounding electromagnetic fluid and merge into it.
Quantum mechanics confuses the discreteness of these energy levels with the “discreteness” of electrons.
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