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Structure-Behavior Coalescence and the Limits of Traditional Systems Theory

William S. Chao

arXiv:2609.00042v1cs.SEeess.SY

TL;DR

Traditional systems theory lacks a fully consistent account of system identity, especially under change, emergence, and boundary determination. The paper introduces Structure–Behavior Coalescence (SBC), reframing structure and behavior as mutually constitutive aspects of one systemic process whose persistent co-determination grounds identity.

  • Problem

    Traditional systems theory lacks a fully consistent theoretical account of system identity, particularly when systems undergo change, emergence, or boundary determination.

  • Method

    The paper uses conceptual analysis grounded in comparative systems theory and cybernetic foundations to formulate SBC as a reframing principle.

  • Results

    SBC conceptualizes structure and behavior as mutually constitutive aspects of a single systemic process, grounding system identity in their persistent co-determination.

  • Takeaways & Limitations

    The reframing unifies the interpretation of identity persistence, emergence, and boundary formation as consequences of structure–behavior separability.

  • Takeaways & Limitations

    Existing hybrid frameworks specify structure–behavior relationships through external mappings, consistency constraints, or alignment rules, leaving integration representational rather than ontological.

Abstract

from arXiv · show

This paper examines a foundational assumption in traditional systems theory, namely that structure (the organization of components) and behavior (the evolution of system activity over time) can be treated as separable analytical dimensions. It argues that this separation contributes to persistent difficulties in explaining system identity, particularly in cases involving change, emergence, and boundary specification. To address this issue, the paper introduces Structure-Behavior Coalescence (SBC) as a reframing principle. SBC proposes that structure and behavior should not be understood as independently existing entities that are subsequently related through modeling constructs, but as mutually constitutive aspects of a single systemic process. From this perspective, system identity is understood as arising from the sustained co-determination of structural organization and behavioral dynamics, rather than from their external correspondence or alignment. This reframing provides a unified way of understanding system identity, emergence, and boundary formation within a cybernetically informed systems perspective.

1. Introduction

Traditional systems theory commonly separates structural organization from behavioral evolution, but this leaves system identity underdetermined under change and weakens explanations of emergence and boundaries. The paper frames this separability as the Structure–Behavior Separation Problem and proposes SBC as a process-oriented alternative.

  • Traditional systems theory represents structure and behavior as parallel descriptive layers rather than a unified theoretical construct.
  • Similar structures can support different behavioral regimes, while similar behaviors can arise from different structural organizations.
  • The separability assumption prevents a unified account of system identity, emergence, and boundary formation.
  • The paper formulates separability as the Structure–Behavior Separation Problem, a foundational constraint rather than a modeling inconvenience.
  • SBC reframes structure and behavior as mutually constitutive aspects of a single systemic process.

2. Limitations of Traditional Systems Theory

Structural, behavioral, and hybrid approaches each leave unresolved how structure and behavior jointly ground system identity. Their shared separability assumption also weakens theoretical accounts of emergence and principled boundary definition.

  • Structural descriptions capture organization and composition but cannot determine system identity under change.Equivalent structures may exhibit divergent behaviors depending on environmental coupling or interpretive context.
  • Behavioral descriptions model temporal dynamics but abstract away organizational constraints and therefore do not uniquely determine system identity.Similar behavioral trajectories may be realized by structurally distinct systems.
  • Hybrid frameworks combine structural and behavioral views through external mappings, consistency constraints, or alignment rules.These mechanisms add coordination complexity without resolving the underlying identity gap.
  • Traditional systems theory leaves identity underdetermined, emergence weakly grounded, and system boundaries dependent on modeling decisions.
  • The common denominator is treating structure and behavior as independent analytical primitives linked through auxiliary modeling mechanisms.This does not explain why a particular structural–behavioral pairing constitutes a single system.

3. The Structure–Behavior Separation Problem

The Structure–Behavior Separation Problem identifies separability as a conceptual constraint: structure and behavior are independently specified and externally linked, leaving their unity as a single system unexplained. This makes system identity underdetermined when either aspect varies.

  • The SBSP formalizes the separability assumption underlying difficulties in explaining identity, emergence, and boundaries.
  • Standard formulations define structure as organization and relations, while behavior denotes temporal evolution of states, processes, or interactions.
  • Separability supports multi-view representations and layered decomposition by allowing structure and behavior to be specified independently.
  • Independent definability makes it unclear what grounds the unity of structure and behavior as one system.
  • Variation in structure and behavior underdetermines identity because neither aspect alone, nor their combination, inherently resolves the ambiguity.
  • External mappings and consistency conditions coordinate representations without explaining their constitutive belonging to a single system.
  • The SBSP is the absence of a constitutive principle explaining how independently defined structure and behavior yield coherent system identity.

4. Structure–Behavior Coalescence

Structure–Behavior Coalescence reframes structure and behavior as mutually constitutive aspects of one systemic process rather than separable entities. It locates system identity, emergence, and explanation in their ongoing co-determination.

  • SBC is a theoretical reframing, not a competing formal modeling framework, grounded in cybernetic and process-oriented systems traditions.
  • System identity arises through the ongoing co-production of structure and behavior rather than preceding their relation.
  • Structure stabilizes constraints from recurrent behavioral regularities, while behavior continuously reproduces and stabilizes organizational patterns.
  • Identity depends on the persistence of a coalescent relational invariant and its co-determining loop, not either aspect in isolation.
  • Emergence is treated as intrinsic to continuous structural–behavioral co-determination, with system-level regularities generated through distributed dynamics.
  • Structural and behavioral models remain useful as epistemic projections of a deeper unified cybernetic organization rather than independent system dimensions.
  • SBC shifts the central systems-theoretic question from relating structure and behavior to examining how their separability is conceptually produced and maintained.

5. Implications for Systems Theory

SBC extends its reframing across modeling, identity, cybernetic feedback, emergence, and systems-theoretic interpretation. It treats these distinctions as derived perspectives on a relational, process-oriented organization rather than fundamental separations.

  • Systems modeling: Modeling becomes the articulation of observational projections of one coalescent system, rather than the integration of independently existing descriptions.
  • System identity: System identity is located in the temporal persistence of structural–behavioral co-determination, making identity processual and relational.
  • Cybernetic feedback: Feedback is treated as intrinsic to the coalesced system, so regulation emerges from internal structural–behavioral coupling rather than external imposition.
  • Emergence and complexity: Emergence is attributed to continuous structural–behavioral co-production within a unified process, emphasizing distributed causality and non-decomposability.
  • Relational and process-oriented traditions: SBC reframes existing representational layers and treats many traditional distinctions as methodological abstractions rather than ontological necessities.

6. Conclusion

The conclusion identifies separability as a conceptual constraint that leaves system unity under change insufficiently explained. SBC addresses this by grounding identity in persistent structural–behavioral co-determination and reframing related theoretical problems.

  • Traditional systems approaches rely on separating structure and behavior, shaping how identity, emergence, and boundaries are conceptualized.
  • The SBSP is presented as a conceptual constraint whose independent definability of structure and behavior creates an explanatory gap concerning system unity under change.
  • SBC reframes structure and behavior as mutually constitutive aspects of one systemic process, grounding identity in persistent co-determination.
  • Identity persistence, emergence, and boundary formation are reinterpreted as consequences of the underlying separability assumption rather than independent theoretical problems.
  • SBC revises interpretive assumptions without replacing existing frameworks, aligning systems theory with relational dynamics and process-oriented explanation.
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