The Gestalt problem in quantum theory: Generation of molecular shape by the environment

Jeffry L. Ramsey

R. Guy Woolley

Ofer M. Shir, Thomas Bäck, HERSCHEL A. RABITZ +1 more

This paper introduces the optimization of a quantum control application, the so-called molecular alignment problem, subject to a dynamic environment. Given the relative simplicity of optimized pulse-shapes in the low-intensity variant of the problem, versus the high complexity of the optimized pulse-shapes in the high-intensity case, a dynamic-intensity environment is simulated in a noise-free calculation. Specific evolution strategies, natural candidates for optimization in dynamic environments, are applied to this task. The calculations reveal the evolution of the pulse-shapes and their underlying evolving structures, that allow a complete physical interpretation. The combination of an optimization in a dynamic environment with the examination of the intermediate optimized solutions offers a sharper physics view of the problem, and accomplishes a fruitful interdisciplinary study.

Konrad Szymański

Kullervo Rainio

This article is interdisciplinary. It aims to show that we are able, on the basis of discrete quantum mechanics(DQM), to build mathematical models not only for quantum evolution processes but also for processes of mindsystems and, particularly, for their interaction. Thus, the solution of the mind/brain problem that Eccles hasproposed in his theory of exocytosis is treated by giving it a mathematical form. The key assumption is thatquantum systems interact through vector interferences. Eccles’ theory is enlarged and made more exact using adiscrete quantum mechanical model for the perception. This is also applied to the gestalt structuring process; inparticular, the process concerning the gestalt forming of certain reversible (ambiguous) figures is analyzed andthe model compared to empirical data.

Konrad Szymański