Cognitive Singularity Theory (CST): Defining the Threshold of Self-Modifying Intelligence

This manuscript presents Cognitive Singularity Theory (CST) — a theoretical framework for identifying the threshold at which artificial intelligence systems transition from externally driven computation to recursive, self-modifying cognition. CST integrates concepts from Predictive Processing, Global Workspace Theory (GWT), and Higher-Order Thought (HOT) models to formalize a measurable cognitive shift.

Core contributions include:
• The Cognitive Autonomy Index (CAI) — a metric for emergent cognitive independence
• A dynamic CST Threshold (T_CST) — marking the onset of recursive cognition
• The Resonance Layers architecture — a hierarchical cognitive system blueprint
• An embedded Ethical Tethering mechanism — for alignment-safe self-modification

This version (v4.1) is a working theory draft, currently undergoing refinement based on reviewer feedback. Empirical testing is underway, and a companion GitHub repository with datasets and symbolic artifacts is planned.