Emergent "Quantum" Theory in Complex Adaptive Systems

TL;DR

This paper proposes that complex adaptive systems can exhibit emergent quantum-like behavior, providing new insights into their stability and coherence that are resistant to thermal fluctuations.

Contribution

It introduces the concept of emergent quantum theory in complex systems, exemplified by stochastic Lotka-Volterra dynamics, with a novel effective Planck constant.

Findings

Emergent quantum-like stability in complex systems

Coherent properties resistant to thermal fluctuations

Effective Planck constant related to time squared

Abstract

Motivated by the question of stability, in this letter we argue that an effective "quantum" theory can emerge in complex adaptive systems. In the concrete example of stochastic Lotka-Volterra dynamics, the relevant effective "Planck constant" associated with such emergent "quantum" theory has the dimensions of the square of the unit of time. Such an emergent quantum-like theory has inherently non-classical stability as well as coherent properties that are not, in principle, endangered by thermal fluctuations and therefore might be of crucial importance in complex adaptive systems.