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arXiv · 0803.4488

Schrodinger-Newton equation as a possible generator of quantum state reduction

Jasper van Wezel·Jeroen van den Brink
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Abstract

It has been suggested by Diosi and Penrose that the occurrence of quantum state reduction in macroscopic objects is related to a manifestation of gravitational effects in quantum mechanics. Although within Penrose's framework the dynamics of the quantum state reduction is not prescribed, it was suggested that the so called Schrodinger-Newton equation can be used to at least identify the resulting classical end states. Here we analyze the extent to which the Schrodinger-Newton equation can be used as a model to generate a full, time dependent description of the quantum state reduction process. We find that when supplied with an imaginary gravitational potential, the Schrodinger-Newton equation offers a rationalisation for some of the hitherto unexplained characteristics of quantum state reduction. The description remains incomplete however, because it is unclear how to fully recover Born's rule.

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Jasper van Wezel, Jeroen van den Brink. 2008-04-02. Schrodinger-Newton equation as a possible generator of quantum state reduction. https://doi.org/10.1080/14786430802251439

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