Meta-Structural properties in Collective phenomena

TL;DR

This paper introduces a formal framework using mesoscopic variables and meta-structures to recognize, induce, and regulate emergent collective behaviors in interacting agent systems, with potential applications in controlling complex phenomena.

Contribution

It presents a novel formal tool, the mesoscopic general vector, to analyze and influence emergent collective phenomena through meta-structural properties.

Findings

Defined coherence via mesoscopic variables and meta-structures

Proposed a formal method to recognize and induce emergence

Outlined future experimental and application directions

Abstract

In this contribution we consider Collective Behaviours as coherent sequences of spatial configurations adopted by interacting agents through corresponding different structures over time. Multiple structures over time and their sequences are considered as Meta-Structures establishing sequences of spatial configurations. They are intended as coherent when acquiring emergent properties. This coherence is considered here as being represented by the values adopted by suitable mesoscopic variables and their properties, i.e., meta-structural properties, allowing the researcher to a) Recognise a phenomenon as emergent; b) Induce emergence of collective behaviour in populations of agents collectively interacting; c) Act on collective emergent phenomena with the purpose to change, regulate and maintain acquired properties and d) Merge different collective emergent phenomena. We introduce a formal tool, i.e., the mesoscopic general vector to represent the adoption, over time, of mesoscopic properties by collectively interacting elements. We mention future experimental lines of activities, future lines of research and possible applications. Keywords: coherence, emergence, ergodicity, mesoscopic, meta-structures.