[Foundations] Control Index as a Unified Precondition: Integrating Decision Layers in Relationship-Aware AI

This paper introduces the Control Index (CI) as a unified relational precondition governing execution-related decision layers in Relationship-Aware AI. Conventional AI systems treat execution-related decisions — including executability, evaluation, intervention, and timing — as independent processes. This paper argues that such independence produces structural inconsistencies, including premature execution, unstable evaluation, and unsynchronized intervention behavior. The paper establishes that execution-related decision layers are conditionally coupled through a shared relational condition: the Control Index. The work defines: - the Control Index as a relational determinacy construct, - unified decision constraints across execution-related layers, - indeterminate system states, - and pre-decision stabilization as a necessary condition for execution. Rather than allowing decision layers to finalize independently, the framework establishes that no execution-related decision may finalize unless the Control Index is determinate. Crucially, execution control is not post-execution regulation, but a system-level constraint governing decision finalization itself. This publication serves as a foundational theoretical paper for the Relationship-Aware AI Research initiative, establishing the Control Index as the central mechanism governing decision finalization in AI systems.