Finding the AI Lagrange Points: The Three-Body Problem of Regulated AI

The document presents the Three-Body Problem framework—originally developed for classified Department of Defense AI governance—as a universally applicable model for managing regulated AI systems across commercial sectors including financial services, healthcare, energy, and insurance.

This paper presents a detailed examination of the challenges and solutions addressed by Lagrange Points, providing actionable frameworks for organizations navigating the intersection of AI adoption and regulatory compliance.

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• Establishes a structured approach to commercial that aligns technical implementation with federal compliance requirements.
• Demonstrates how Lagrange Points concepts translate directly into measurable engineering controls and audit artifacts.
• Provides implementation patterns validated against real-world deployment constraints in regulated environments.
• Identifies critical gaps in current approaches and proposes concrete architectural solutions backed by operational evidence.