Nonlinear Quantum Neuro-Psycho-Dynamics with Topological Phase Transitions

TL;DR

This paper introduces a novel quantum stochastic model incorporating topological phase transitions to describe complex psychodynamic processes and multi-agent joint actions, extending previous frameworks with chaotic and non-equilibrium dynamics.

Contribution

It extends the Life-Space Foam framework by integrating chaotic and topological phase transitions, providing a rigorous quantum-based model for multi-agent psychodynamics and motor control.

Findings

Model captures multi-stability and hysteresis in joint actions

Describes chaotic and topological phase transitions in psychodynamics

Links quantum probability with human motor system dynamics

Abstract

We have proposed a novel model of general quantum, stochastic and chaotic psychodynamics. The model is based on the previously developed Life-Space Foam (LSF) framework to motivational and cognitive dynamics. The present model extends the LSF-approach by incorporating chaotic and topological non-equilibrium phase transitions. Such extended LSF-model is applied for rigorous description of multi-agent joint action. The present model is related to Haken-Kelso-Bunz model of self-organization in the human motor system (including: multi-stability, phase transitions and hysteresis effects, presenting a contrary view to the purely feedback driven neural systems), as well as the entropy-approach to adaptation in human goal-directed motor control. Keywords: Quantum probability, Life-Space Foam, noisy decision making, chaos, topological phase transitions, multi-agent joint action, goal-directed motor control