dorsal/arxiv
View SchemaNonlinear evolution as a possible explanation for quantum mechanical statevector reduction
| Authors | Henrik Brusheim-Johansson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512158 |
| URL | https://arxiv.org/abs/quant-ph/0512158 |
Abstract
A non-local toy-model is proposed for the purpose of modelling the ``wave function collapse'' of a two-state quantum system. The collapse is driven by a nonlinear evolution equation with an extreme sensitivity to absolute phase. It is hypothesized that the phase, or a part of it, is displaying chaotic behaviour. This chaotic behaviour can then be responsible for the indeterminacy we are experiencing for a single quantum system. Through this randomness, we no longer need the statistical ``ensemble'' behaviour to describe a single quantum system. A brief introduction to the ``measurement problem'' is also given.
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"abstract": "A non-local toy-model is proposed for the purpose of modelling the ``wave\nfunction collapse\u0027\u0027 of a two-state quantum system. The collapse is driven by a\nnonlinear evolution equation with an extreme sensitivity to absolute phase. It\nis hypothesized that the phase, or a part of it, is displaying chaotic\nbehaviour. This chaotic behaviour can then be responsible for the indeterminacy\nwe are experiencing for a single quantum system. Through this randomness, we no\nlonger need the statistical ``ensemble\u0027\u0027 behaviour to describe a single quantum\nsystem. A brief introduction to the ``measurement problem\u0027\u0027 is also given.",
"arxiv_id": "quant-ph/0512158",
"authors": [
"Henrik Brusheim-Johansson"
],
"categories": [
"quant-ph"
],
"title": "Nonlinear evolution as a possible explanation for quantum mechanical statevector reduction",
"url": "https://arxiv.org/abs/quant-ph/0512158"
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