Improving the proof of the Born rule using a physical requirement on the dynamics of quantum particles

TL;DR

This paper offers a new proof of the Born rule by introducing a dynamical postulate about the stability of particle properties over short time intervals, which aligns with experimental observations.

Contribution

It introduces a novel dynamical postulate to derive the Born rule, extending previous results and providing a more complete proof within quantum mechanics.

Findings

The postulate is consistent with all experiments.

It explicitly derives the Born rule from the new postulate.

The approach improves upon previous proofs of the Born rule.

Abstract

We propose a complete proof of the Born rule using an additional postulate stating that for a short enough time {\Delta}t between two measurements, a property of a particle will keep its values fixed. This dynamical postulate allows us to produce the Born rule in its explicit form by improving the result given in [1]. While the proposed postulate is still not part of the quantum mechanics postulates, every experiment obeys it, and it can not be deduced using the standard postulates of quantum mechanics.