What question did this study set out to answer?

The aim is to explore a framework for modeling self-organization and emergent equilibria across various disciplines.

February 26, 2026Open Access

Equilus-Abaxsys: A Symbolic-Language & Framework for Modeling Mutual-Persistence and Emergent Equilibria in Self-Organizing Systems

Key Points

The aim is to explore a framework for modeling self-organization and emergent equilibria across various disciplines.
Developed a dual symbolic-computational framework called Equilus-Abaxsys.
Equilus offers notation for expressing reciprocal relations.
Abaxsys provides hierarchical modeling and scalar coherence measurement.
Includes preliminary simulations demonstrating potential applications.
Encourages collaboration for formalizing and validating the framework.

Abstract

This pre-print presents Equilus-Abaxsys, a dual symbolic-computational framework for studying emergent self-organization across disciplines. Equilus provides accessible notation for expressing reciprocal relations; Abaxsys supplies hierarchical modeling and scalar coherence measurement (Ω). The work is theoretical, with preliminary simulations and conceptual applications. It invites collaboration for mathematical formalization, empirical validation, and extensions in cognitive science and AI modeling. Full text available in the attached PDF.

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