Interference of probabilities in dynamics

A new class of dynamical systems with a preset type of interference of probabilities is introduced. It is obtained from the extension of the Madelung equation by replacing the quantum potential with a specially selected feedback from the Liouville equation. It has been proved that these systems are...

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Bibliographic Details
Main Author: Michail Zak
Format: Article
Language:English
Published: AIP Publishing LLC 2014-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4893871
Description
Summary:A new class of dynamical systems with a preset type of interference of probabilities is introduced. It is obtained from the extension of the Madelung equation by replacing the quantum potential with a specially selected feedback from the Liouville equation. It has been proved that these systems are different from both Newtonian and quantum systems, but they can be useful for modeling spontaneous collective novelty phenomena when emerging outputs are qualitatively different from the weighted sum of individual inputs. Formation of language and fast decision-making process as potential applications of the probability interference is discussed.
ISSN:2158-3226