Modeling quantum systems by nonlinear dynamics (Quantum Cybernetics)
...thereby remaining, however, as far as possible within the domains of the orthodox formalism.
As a forerunner to our present-day attempts at an "emergent quantum mechanics", Quantum Cybernetics in part draws on earlier causal interpretations of the quantum mechanical formalism, like the de Broglie - Bohm interpretation. However, as in the latter interpretation the central issue of "nonlocal information transfer" is not treated satisfactorily, a more radical, system theoretical approach seems called for. Basically, quantum cybernetics is a theory for individual quantum systems. It suggests a circular causality between a nonlinear modification ("particle") of an otherwise linear (and nonlocal) "wave" function for each individual system. Thus, the "particle" is not only seen as being steered by a "guiding wave", but also as being actively involved in the "filtering" of relevant frequencies which in turn co-determine the nonlocal plane waves accompanying it. Nonlocal correlations like the EPR correlations, as well as their dynamical modifications, can then be understood within the system theoretical framework of organizational closure.
Figure: Two-dimensional representation of the non-linear part of the "wave-particle" system. The third (vertical) axis indicates the "particle" detection probability.
For more details, see the book on Quantum Cybernetics by G. Grössing (2000). For contents and sample pages, click here. Furthermore, we present below a talk in german language given by Gerhard Grössing at an international symposion on the occasion of Heinz von Foerster receiving the Honorary Professorship of the University of Vienna at his 85th birthday (13 November 1996).