Seriously... The ability to identify what physics/math theories the AI should apply and being able to make the AI actually apply those are very different things. And you don't seem to understand that distinction.
Unless you have $500k to pay for the actual implementation of a Hamiltonian video generator then I don't think you're in a position to tell me what I know and don't know.
lolz, I doubt very much anyone would want to pay you $500k to perform magic. Basically, I think you are coming across as someone who is trying to sound clever rather than being clever.
My price is very cheap in terms of what it would enable and allow OpenAI to charge their customers. Hamiltonian video generation with conservation principles which do not have phantom masses appearing and disappearing out of nowhere is a billion dollar industry so my asking price is basically giving away the entire industry for free.