Applying the negation of the axiom of choice

Quantum mechanics

About every day life of the elementary particles (simplified)

About every day life of the elementary particles (simplified)

This is what I think about some of elementary particles behavior,
avoiding much math.

The elementary particle jumps from one location to another with
the set of locations discontinuous and not linearly ordered.
What is far with the standard distance can be near with the jumps.

So, two particles can have an action one on the other after having
taken a "distance" one from the other.
The two particles could be within a limited number of jumps one from
the other.
Therefore, there could be an unexpected correlation.

Time itself is discontinuous and not linearly ordered.
So, there are no causality relationships unless time is ordered by
the observation set up.
Help is welcome for deducing other consequences of this behavior.

Adib Ben Jebara.