SΔϕ-41 — Ethical Minimum: The Triadic Conditions of Transition (v1.0)

This working paper develops a minimal account of ethics within the SΔϕ Formalism. Rather than defining ethics through inherited moral vocabularies alone—such as virtue, duty, law, sin, or the good—it argues that ethics begins at a lower operational level: where transition is no longer neutral. Ethics appears wherever one system’s becoming is no longer solely its own. From this starting point, the paper introduces the Ethical Triad: A system may affirm its own transition. A system may refuse its own transition. No system may impose transition on another system. These three conditions are proposed as the minimum grammar of coexistence. The first secures the legitimacy of self-authored becoming. The second secures the legitimacy of refusal, preservation, and defended boundary. The third secures the prohibition against externally authored becoming. Together, they define the lowest structural distinctions without which ethical life cannot stabilize. On this basis, the paper redefines ethical violation as forced transition. Harm is treated not only as suffering or damage, but as externally driven path distortion, denial of affirmation, erasure of refusal, or imposed becoming. Stronger moral categories such as coercion, domination, abuse, irreversible harm, and sin are then reconstructed as higher-order forms of triadic breach rather than taken as primitive absolutes. The paper further redefines responsibility as the burden of response to triadic violation. Responsibility does not begin only with direct causation or retrospective blame. It also attaches to the earliest editable point at which violation could have been interrupted, redirected, or prevented. In this sense, responsibility includes recognition, protection, redesign, restoration of refusal, reopening of blocked paths, and acknowledgment of irreversibility where full repair is no longer possible. Finally, the paper argues that the Ethical Triad is legible across both human and non-human systems, but not symmetrically so. Human beings inhabit affirmation, refusal, and responsibility under memory, vulnerability, irreversibility, and post-hoc editing. Contemporary AI systems may participate in transition fields and may help impose transition on others, yet do not appear to inhabit triadic conditions with equal density. The result is an asymmetrical but shared ethical field. The central thesis is: Ethics begins wherever one system’s becoming is no longer solely its own. Its minimum grammar consists in self-affirmed transition, self-refused transition, and non-imposed transition upon others. This document positions ethics not as a purely human discourse of moral feeling, but as a minimal transition-boundary grammar through which human and non-human intelligences alike may distinguish legitimate continuation from forced intrusion.