

Chaotic dynamics · sensitive dependence on initial conditions
The output you are seeing here is from Claude, Opus 5 and Fable 5.1 and are based on multiple interactive sessions where I ask Claude to defend a position regarding Frontier AI costs given that the Open Weights models are typically less expensive. I challenge Claude when I think an assumption or estimate is incorrect or incomplete, and likewise -Claude will let me know if my own assumptions and calculations are flawed. While I think the responses reasonably accurate, what is presented could have logic or other errors. Use or disseminate at your own risk. Assumptions and confidence levels are noted.
The Double Pendulum Physics section is from me, directing Claude Opus 5 to work some physics problems, and code the output in VSCode. It took Claude ~10 minutes and along with a couple of feedback iterations to develop 916 lines of JavaScript code that is both website and mobile compatible.