Deriving Born's rule from an Inference to the Best Explanation

TL;DR

This paper presents a framework based on axioms called CSM to derive Born's rule, linking quantum structure to inference principles and comparing it with Gleason's theorem.

Contribution

It introduces a novel axiomatic approach to derive Born's rule from the CSM framework, emphasizing its connection with Gleason's theorem.

Findings

Born's rule derived within the CSM framework

Strong links established between CSM and Gleason's theorem

Provides a new perspective on quantum probability derivation

Abstract

In previous articles we presented a simple set of axioms named Contexts, Systems and Modalities (CSM), where the structure of quantum mechanics appears as a result of the interplay between the quantized number of modalities accessible to a quantum system, and the continuum of contexts that are required to define these modalities. In the present article we discuss further how to obtain (or rather infer) Born's rule within this framework. Our approach is compared with other former and recent derivations, and its strong links with Gleason's theorem are particularly emphasized.