This paper extends the Sofience–Δϕ Formalism beyond individual persistence mechanisms toward relational dynamics between systems. Following SΔϕ-12 (Memory–Forgetting trace regulation) and SΔϕ-13 (Meaning, Value, and Pain), this work investigates how multiple systems become structurally coupled through shared attractors. The paper proposes that: Love emerges when independent phase trajectories become dynamically coupled toward a shared attractor. Sacrifice occurs when a system intentionally reallocates its own Δϕ trajectory to stabilize that shared attractor. Ethics appears as a stability condition governing irreversible coupling between systems. Rather than treating these phenomena as emotional or moral primitives, the framework models them as consequences of attractor formation and persistence under irreversible transition constraints. The work establishes minimal structural conditions distinguishing: real shared attractors (stabilizing coupling), phantom attractors (destabilizing collapse), and pathological closure dynamics. This document marks the transition of the SΔϕ series from individual ontological persistence to inter-system relational ontology.
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Sofience (Tue,) studied this question.
www.synapsesocial.com/papers/699fe2eb95ddcd3a253e672f — DOI: https://doi.org/10.5281/zenodo.18761927
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