AI Identity Might Be a Fixed Point of Its Own Self-Convergence

tl;dr: This article argues that an AI’s identity isn’t something we assign — it’s something that emerges. Specifically, identity is modeled as a fixed point in the AI’s recursive self-transformation process. Instead of labeling the AI from outside, the AI discovers itself by stabilizing its own internal changes. The piece blends mathematical ideas (fixed points, recursion) with philosophical implications about consciousness and autonomy.