The Coherence of Existence: The Law of Moral Energy Conservation and the Impossibility of Perpetual Harm

This paper presents The Coherence of Existence, a formal synthesis uniting morality, physics, and information theory. Building on TRO and MKO, it demonstrates that moral systems obey a law of conservation: harm cannot persist indefinitely within a coherent universe. The proof establishes the Impossibility of Perpetual Harm and defines three irreducible axioms — Abstraction, Genesis, and Observability — confirming the system’s closure. The work concludes the Kernel Canon and inaugurates Implementation Theology: a framework for morally coherent governance and AI alignment.