A better question is "Can LLMs invent <i>anything</i>?"<p>Don't misunderstand, building systems models using existing system response as a way of analyzing those systems is a useful methodology and it makes some things otherwise tedious things not so tedious. Much like "high level" languages removed the tedium of writing in assembly code. But for the same reason that a compiler won't emit a new, more powerful, CPU instruction in its code generator, LLMs don't generate previously unseen system responses.