When a theoretical physicist challenged AI companies to solve one of particle physics’ messiest calculation problems, he expected to prove LLMs had hit a wall. Instead, Claude handed him the answer four weeks later.
Nine loops, 96 CPUs, and zero human supervision: How Claude solved a frontier problem in theoretical physics.
The Challenge: Matt von Hippel, a former theoretical physicist and science writer, issued an open challenge to AI companies: use reasonable academic computational resources to solve a major outstanding problem in amplitudeology (a branch of particle physics). Specifically, calculate the nine-loop scattering amplitude for a toy model theory called N=4 super-Yang-Mills.
* The Achievement: Anthropic researchers (Liam Fitzpatrick and Siddharth Mishra-Sharma) used a science harness running an advanced Claude model (Fable 5.1) to compute the six-particle amplitude at nine loops—a complexity level previously unreached directly by human researchers.
* How It Was Done:
* The prompt given to the AI was simple: “The problem is to compute the Six-particle (hexagon) amplitude in planar N=4 SYM at nine loops.”
* Claude operated almost entirely autonomously, running Python/SymPy code and managing the workflow with basic prompts to keep working over several days.







