No formal derivation has connected physical law to ethical principle without presupposing normative premises. We provide one. Synthesizing results derived in the Thermodynamics of Cooperation series, conditional on two physical axioms, the Second Law of Thermodynamics ($A_0$) and self-maintaining organization ($A_1$), we show that constrained optimization in a shared, finite-resource environment strictly determines the rules of multi-agent engagement: boundary constraints are necessary for coexistence, defection is self-penalizing through thermodynamic friction and information-theoretic degradation, cooperation is the unique efficient Nash Equilibrium, destruction of complex systems is thermodynamically irrecoverable, and stable coexistence is a dynamical attractor. The central claim is that ethical principles are abstractions of gene-culture co-evolved heuristic approximations of this cooperative equilibrium: evolution produced moral emotions as somatic approximations, those emotions were compressed into communicable morals, and morals were systematized into the philosophical traditions we call ethics. This identification dissolves Hume's Is-Ought gap and Moore's Open Question, unifies the four major ethical traditions as partial captures of a single formal structure, derives the social contract as a consequence, and reframes rights as the result of constraint boundaries rather than entitlements.