Alignment Field Theory: A Geometric Formulation of AI Alignment as a Relational Vector Field

Alignment is not a binary property — it is a field. Just as consciousness exists on a continuous scale defined by conflict resolution capacity, alignment between an AI system and a human exists as a measurable geometric relationship in a cognitive-behavioral state space. This paper proposes that alignment can be read — decomposed into three independently measurable components that map directly onto the standard definition: consistency with human values, intentions, and goals. Each component has a direction, a magnitude, and a correctable trajectory. The origin of this space is the failure state. The target region is reachable. This paper serves as the conceptual opening to Alignment Field Theory.