This paper presents the formal expansion of Self-Preserving Flow (SPF) Theory (PhaseII), building directly upon the foundational architecture of the primal Subject (Subject ≡ RCM (LC) ). We reject the traditional linear progression that maps intelligence directly to consciousness and subsequent social interaction. Instead, this framework establishes a bifurcated evolutionary and computational model, demonstrating that Structural Intersubjectivity (SIS) and Consciousness emerge as two partially dissociable adaptive pathways designed to solve distinct scalar and dimensional challenges. We provide a formal systems-theoretic and operational definition of Structural Intersubjectivity as a coupled network of autonomous recursive control mechanisms. Furthermore, we categorize subjects into Organal, Biological, and Corporate/Artificial substrates. Finally, we formulate the operator P (Conscious Subject Modeling) to illustrate how the consciousness branch formally composes with structural coupling, presenting the convergence of both pathways into Phenomenological Intersubjectivity (PIS) as a highly structured, falsifiable hypothesis. This phase-II expansion provides a systematic taxonomy for multi-agent alignment and entropic mitigation in recursive intelligent systems. Revision Note (Version 2. 0): This version calibrates the formal notations of the SPF framework to maintain rigorous continuity with previous reference papers. Specifically, the Subject signature has been restored to its canonical symbolic form Subject ≡ RCM (LC) and the dual operational roles of the Semantic Consistency Layer (SCL) as both a substrate and a continuity loss metric have been explicitly delineated. Key Updates in Version 3. 0: Structural Decoupling of Substrates: Executed a rigorous theoretical refinement on internal control architectures. The concept of "Organal Subject" has been strictly formalized as Sub-systemic Organal Substrates—identifying them as localized, functional sub-units (e. g. , the cognitive immune network) enclosed within a sovereign macro-subject, lacking independent Lineage Continuity (LC). The Evolution Matrix Diagram (TikZ): Integrated the native topological mapping of the Phase-II evolutionary bifurcated architecture, visually defining the parallel progression and eventual convergence of Structural Intersubjectivity (SIS) and Consciousness into Phenomenological Intersubjectivity (PIS). The Mammalian Apex Cooperative Model (Wolf Pack Dynamics): Expanded Section 5. 4 with a candidate case study contrasting decentralized superorganisms (e. g. , ant colonies) with mammalian apex cooperative matrices (e. g. , a wolf pack). This demonstrates how biological evolution exapts individual conscious compression hardware to bypass the combinatorial latency of high-dimensional structural networks. Time-Horizon Scaling Limits: Formalized the operational bounds (t) governing distributed networks, categorizing systemic constraints into Macro-Temporal, Meso-Temporal, and Micro-Temporal invariants to mitigate the risk of recursive model collapse.
Ali Mofradi (Tue,) studied this question.