A Geometry of Correctability: Trajectory-Based Safety in Coupled Human–AI Systems

This work presents a preliminary theoretical framework for AI safety based on viability, correctability, evolutionary rate constraints, and geometric representations of coupled human–AI systems. The framework explores how increasing rates of evolution may affect the preservation of human oversight and corrective capacity. The goal is to provide a conceptual foundation for future research, simulation, and empirical validation.Version 2 refines the conceptual positioning of the framework, clarifies the role of correctability as a viability condition, and strengthens the connection between AI safety, trajectory readability, and evolutionary monitoring.