Random Wave Function Collapse

TL;DR

This paper explores how instability-driven random branching in deterministic quantum dynamics could explain wave function collapse, with the Born rule emerging naturally in two-level systems as a linear solution for measurement probabilities.

Contribution

It proposes a novel mechanism linking instability-induced randomness to wave function collapse and derives the Born rule as a linear solution in two-level quantum systems.

Findings

Born rule emerges as a linear solution in two-level systems

Instability-induced branching can explain measurement randomness

Proposes a deterministic yet probabilistic collapse mechanism

Abstract

Instability-induced random branching of deterministic dynamics is discussed as a possible mechanism of random wave function collapse. In the case of two level systems, the Born probability rule emerges as the simplest linear solution to the equation for measurement probabilities.