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A chaotic dynamical reduction model for the quantum mechanical state vector

2006/10/31 by Henrik Brusheim-Johansson, Johan Hansson, Brusheim-Johansson, H. +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.quant-ph/0611003

openalex publication_date 2006/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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