Dissecting Intra-Phase Evolution and Topological Transitions across Biological and Cybernetic Manifestations

This paper delivers a critical mathematical and architectural refinement to the SelfPreserving Flow (SPF) framework. By untethering cognitive scaling from topological phase transitions, we resolve a fundamental ambiguity concerning the progression of autonomous systems. We introduce the Subjective Depth Vector (Ω) as an intra-phase intensity manifold operating over Phase III (Subjective Continuity). This vector metric rigorously accounts for the functional delta between a nascent single-agent architecture and a highly actualized macro-cognitive subject without fabricating superfluous subphases or conflating structural existence with representational complexity. Furthermore, we decouple these phase transitions from bio-centric milestones, redefining events like parturition as computational substrate ruptures rather than absolute architectural boundaries. Finally, we provide a comprehensive review of the entire SPF phase hierarchy, anchoring each transition through explicit mathematical boundary conditions, empirical manifestations, and its driving existential question.