Deriving the Born Rule from a model of the quantum measurement process

TL;DR

This paper derives the Born Rule, a fundamental quantum probability rule, from basic quantum principles and a stochastic model of the measurement process, explaining measurement randomness as ignorance of microscopic device states.

Contribution

It introduces a stochastic model of quantum measurement that derives the Born Rule from fundamental principles, linking measurement randomness to microscopic device states.

Findings

The model reproduces the Born Rule from stochastic processes.

A specific process within the class aligns with expected quantum interaction properties.

The approach offers a new derivation of quantum probabilities from underlying dynamics.

Abstract

The quantum mechanics postulate called the Born Rule attributes a probabilistic meaning to a wave function. This paper derives the Born Rule from other quantum principles along with a model of the measurement process. The nondeterministic nature of quantum measurements is hypothesized to arise from an ignorance of the quantum states of a measuring device's microscopic components. Their interactions with a system to be measured are modeled heuristically with any member of a particular class of stochastic processes, each of which generate the Born Rule. One member of the class appears particularly compatible with properties expected of quantum interactions.