Steps of the meta-structures project to model general processes of emergence (1)

TL;DR

This paper introduces a novel formal framework using mesoscopic variables and Meta-Structures to model and analyze collective behaviors and emergence in complex systems, emphasizing dynamic levels and boundary conditions.

Contribution

It presents a new formal tool, the mesoscopic general vector, and conceptual approaches for understanding and inducing collective behaviors through Meta-Structures and boundary conditions.

Findings

Defined mesoscopic general vector for collective states

Identified meta-structural conditions for behavior emergence

Explored boundary conditions to induce collective behaviors

Abstract

In contrast with classical approaches, we present the project based on considering Collective Behaviours as coherent sequences of states adopted by different single systems consisting of the same elements interacting over time in different ways, i.e., through sequences of variable structures or phase transitions. This coherence is considered here as being represented by the values taken by suitable mesoscopic variables and their properties represented by Meta-Structures. We introduce a formal tool, i.e., the mesoscopic general vector to represent the adoption, over time, of mesoscopic properties by Interacting Collective elements. We explore novel conceptual aspects including Dynamic Mesoscopic Levels of Description; necessary and sufficient meta-structural conditions for the establishment and conservation over time of Collective Behaviours; relationships between Meta-Structures and Boundary Conditions to transform, even partially, the former into the latter to prescribe and induce the emergence of Collective Behaviours as well as coherent Multiple Systems or coherent Collective Beings. We present future lines of research and possible applications.