Lindbladian Dynamics Generates Inter-system Connectedness in Psychological Phenomena

Abstract

Exploring a general stratagem for the way that Nature operates, one finds that in a variety of phenomena of one’s experience these come into existence (only) thanks to the special way that two disparate systems, being parts of an open system, are coupled together. This connectedness is shown here to come about through a Lindbladian operator, such that it leads to the exclusion of many more possibilities absent in the connectedness. An instance of this phenomenon, here subsumed under the term “inter-system connectedness” and known to occur in the reduction of quantum mechanical wave-packets, is here proposed in the emergence of consciousness resulting from and linked to neural activity. For this, a dual Hilbert-space formulation of mental activities is proposed, which then enables a semi-quantitative explanation of R. N. Shepard’s seminal findings for reaction times in recalls. Affinities with and differences from Khrennikov’s recent widely scoped treatise on these subjects are described.