A chaotic dynamical reduction model for the quantum mechanical state vector

TL;DR

This paper introduces a nonlinear, chaotic dynamical model for quantum wave function collapse that attributes apparent indeterminacy to chaotic phase behaviour, eliminating the need for statistical ensemble assumptions.

Contribution

It proposes a novel chaotic dynamical reduction model for quantum state collapse driven by phase sensitivity, offering a deterministic explanation for quantum indeterminacy.

Findings

The model demonstrates collapse driven by chaotic phase behaviour.

It explains quantum indeterminacy without statistical ensembles.

The approach links chaos theory with quantum measurement processes.

Abstract

A new model is proposed for the purpose of modelling the ``wave function collapse'' of a two-state quantum system. The collapse to a classical state is driven by a nonlinear evolution equation with an extreme sensitivity to absolute phase. It is hypothesized that the phase, or part of it, is displaying chaotic behaviour. This chaotic behaviour can then be responsible for the apparent indeterminacy we are experiencing for a single quantum system. Through this randomness, the statistical ``ensemble'' behaviour, due to Born, to describe a single quantum system, is no longer needed.