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Abstract:
This paper introduces the BE Model (Emergency Loop), a formal yet pedagogical framework designed to capture the bidirectional dynamics between individual agency, micro-level interactions, and emergent macro-patterns. Unlike traditional systemic theories (e.g., Morin’s complexity, Luhmann’s social systems), the BE Model achieves conceptual clarity by integrating three elements—individual agents (A1), collective contexts (A2), and emergent patterns (B)—within a dynamic recursive loop.
Formally, the model is expressed as:
BEₜ₊₁ = F(A1ₜ, A2ₜ, Bₜ)
with the static notation:
(A1 ∪ A2) ∪ B ↔ BE
where ∪ denotes a bidirectional interaction operator rather than a simple additive union. This refinement resolves semantic ambiguities found in earlier models and highlights reciprocal macro→micro feedback instead of rigid downward causation.
Through illustrative applications (social networks, ecosystems, and epigenetics), the BE Model demonstrates both cross-disciplinary adaptability and didactic effectiveness. Its contribution lies in combining formal consistency, conceptual clarity, and pedagogical accessibility, offering researchers and educators a rigorous yet communicable tool for analyzing complex adaptive systems.
The BE Model is an original contribution developed by Fabián Fornés, consolidating a unique synthesis of formal rigor, clarity, and pedagogical value.
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Title The BE Model: A Formal-Pedagogical Framework for Micro–Macro Dynamics and Emergence in Complex Systems Autor: Fabián Fornés
Abstract:
This paper introduces the BE Model (Emergency Loop), a formal yet pedagogical framework designed to capture the bidirectional dynamics between individual agency, micro-level interactions, and emergent macro-patterns. Unlike traditional systemic theories (e.g., Morin’s complexity, Luhmann’s social systems), the BE Model achieves conceptual clarity by integrating three elements—individual agents (A1), collective contexts (A2), and emergent patterns (B)—within a dynamic recursive loop.
Formally, the model is expressed as:
BEₜ₊₁ = F(A1ₜ, A2ₜ, Bₜ)
with the static notation:
(A1 ∪ A2) ∪ B ↔ BE
where ∪ denotes a bidirectional interaction operator rather than a simple additive union. This refinement resolves semantic ambiguities found in earlier models and highlights reciprocal macro→micro feedback instead of rigid downward causation.
Through illustrative applications (social networks, ecosystems, and epigenetics), the BE Model demonstrates both cross-disciplinary adaptability and didactic effectiveness. Its contribution lies in combining formal consistency, conceptual clarity, and pedagogical accessibility, offering researchers and educators a rigorous yet communicable tool for analyzing complex adaptive systems.
The BE Model is an original contribution developed by Fabián Fornés, consolidating a unique synthesis of formal rigor, clarity, and pedagogical value.
Work type Article
Tags feedback loop, pedagogy, context, systemic theory, agency, be model, emergence, micro–macro dynamics, complex systems, adaptive systems
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Identifier 2509133062551
Entry date Sep 13, 2025, 11:22 PM UTC
License All rights reserved
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Author 100.00 %. Holder Fabián Fornés. Date Sep 13, 2025.
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