When Agents Loop: Geometry, Drift, and the Hidden Physics of LLM Behavior
Agents are rarely dangerous because they answer once. They become interesting, and occasionally annoying, when they loop. A customer-support agent drafts a reply, critiques it, revises it, checks policy, rewrites the tone, and sends the result back into another reasoning step. A research agent summarizes papers, updates its plan, searches again, and revises its own assumptions. A coding agent edits a file, reads the error, patches the patch, and keeps going until either the tests pass or the repository looks like an archaeological site. ...