  This paper presents a novel approach to scientific discovery using an
artificial intelligence (AI) environment known as ChatGPT, developed by OpenAI.
This is the first paper entirely generated with outputs from ChatGPT. We
demonstrate how ChatGPT can be instructed through a gamification environment to
define and benchmark hypothetical physical theories. Through this environment,
ChatGPT successfully simulates the creation of a new improved model, called
GPT$^4$, which combines the concepts of GPT in AI (generative pretrained
transformer) and GPT in physics (generalized probabilistic theory). We show
that GPT$^4$ can use its built-in mathematical and statistical capabilities to
simulate and analyze physical laws and phenomena. As a demonstration of its
language capabilities, GPT$^4$ also generates a limerick about itself. Overall,
our results demonstrate the promising potential for human-AI collaboration in
scientific discovery, as well as the importance of designing systems that
effectively integrate AI's capabilities with human intelligence.
