标题： 元结构项目的步骤以模拟普遍出现过程 (1) 显示英文标题

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

摘要： 与经典方法相反，我们提出了一个项目，该课题基于将集体行为视为由不同单个系统采用的、由相同元素在不同时刻以不同方式相互作用的状态序列，即通过可变结构或相变的序列。 这种一致性在这里被视为由适当的介观变量的值及其由元结构表示的性质所体现。 我们引入了一个形式化工具，即介观通用向量，用于表示相互作用的集体元素随时间采用的介观属性。 我们探讨了新的概念方面，包括动态介观描述层次；建立和随时间保持集体行为的必要且充分的元结构性条件；元结构与边界条件之间的关系，以部分地将前者转化为后者，从而规定和诱导集体行为的出现以及相干的多系统或相干的集体存在。 我们提出了未来的研究方向和可能的应用。 显示英文摘要

摘要： 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.