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June 15, 20260 citationsOpen Access

Boundary Hierarchies and the Emergence of Continuity: An SPF Formulation

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AMAli Mofradi

Key Points

  • This research examines how Self-Preserving Flow theory redefines the role of physical boundaries in the emergence of continuity.
  • Theoretical analysis of SPF framework and its hierarchical structure among physical boundaries and continuity.
  • Discussion of the relationship between Adaptive Operator and continuity structures.
  • Proposes that biological membranes serve as a baseline for continuity rather than being entirely sufficient or incidental.
  • Demonstrates that continuity emerges through structured relationships at different organizational levels.

Abstract

Recent discourse across theoretical biology and artificial intelligence frequently positions metabolic encapsulation and physical membranes as the absolute origin of subjectivity. While Self-Preserving Flow (SPF) theory acknowledges the necessity of physical substrates, it rejects metabolic reductionism. SPF proposes a hierarchical framework in which physical boundaries represent the initial, lowest-bandwidth manifestation of a Topological Constraint (the Semantic Consistency Layer, or SCL), rather than its ultimate evolutionary state. Continuity emerges not from material isolation alone, but through successive scales of formal organization governed by the relationship between the Adaptive Operator (DPA) and the continuity structures it preserves. Consequently, biological membranes are neither incidental nor sufficient; they establish the baseline channel capacity under entropy upon which higher-order continuity architectures can emerge.

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Cite This Study

Ali Mofradi (2026) studied this question.

synapsesocial.com/papers/6a2f97e8a1cfeec490828f65https://doi.org/10.5281/zenodo.20674884
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The Architectural Evolution of Continuity: Refining the Boundary between Pre-Subjective Networks and Formal Subjectivity in SPF Theory2026
  2. 2The Meta-Subject and Hierarchical Continuity Architectures2026
  3. 3The Bifurcated Architecture of Continuity: Formalizing Structural Intersubjectivity and Hypothesizing the Convergence of Consciousness in Self-Preserving Flow (SPF) Theory2026
  4. 4Formalizing the Tripartite Axioms of Identity, Subject, and Continuity in SPF Theory2026
  5. 5The Architecture of Continuity: From Life and Subjectivity to Intersubjectivity and AGI in Self-Preserving Flow (SPF) Theory2026