Balance as a Bounded Control Law: Motion, Containment, and Coherence Without Prediction

This paper presents a foundational theoretical formulation of balance as a bounded control law. Balance is defined as admissible system motion maintained within explicitly defined bounds, independent of equilibrium, optimisation, prediction, or diagnostic inference. The framework treats balance as a structural property of regulation rather than an outcome state, performance target, or subjective condition. Motion, oscillation, and adaptation are permitted and expected provided containment holds. Loss of balance is defined strictly as boundary breach, understood as a geometric transition from admissible to non-admissible state space. The paper distinguishes balance from stability, separates regulation from prediction, and establishes constraint integrity as a first-order design concern. No metrics, interventions, optimisation procedures, or applied implementations are proposed. This work is self-contained and domain-agnostic. It forms part of the Crippin’s Theory / Atlas Codex series and serves as a foundational constraint definition that may be referenced by later works without redefining balance.