There is a difference between statistical (wave) and quantum (particle) mechanics. It is well known the basic laws of particles behavior underlying statistical mechanics, but it isn't known what those laws are for quantum (particle) mechanics. These are simply two different ways to describe the same thing, a beam of particles. A single particle is always a particle, while a huge amount of electrons or photons, for example, are treated as waves.

Physics teachers and authors use "sloppy," incorrect language when they say, An electron or photon are either a particle or a wave." An electron or photon are always particles while a huge amount of electrons and photons are treated as waves.

A comunication engineer will describe a signal as a series of pulses localized in time, as if it were a beam of particles, or as a spectrum of frequencies, as if they were a combination of sine waves. The engineers use a mathematical device called the Fourier Transform, which enables the engineers to go back and forth between the two representations. The quantum uncertainty princible can be mathematically derived directly using the Fourier Transform.

I have read books that claim a wave function collapses instantaneously throughout the universe which would violate Einstein's rule that no signal can move faster than light. The people that make this claim are like religious spiritualists that are seeking---spooks. :roll: Solitary