I ran a similar experiment recently, typing the contents of all of last years' editions of The Racing Post into a machine-readable file, which I uploaded to ChatGPT in the hope of getting a firm prediction for the 2.30 at Haydock Park. Sadly, the hopeless bot was only able to give me poor odds and some made-up gossip from one of the stables. However, the experience put me in a good position to develop fresh insights, which I can share with you as follows.
There are several obstacle that would prevent your suggested scheme from leading to a theory of everything.
The uncertainty principle does not tell us that nature is certain and our understanding of it is not- it tells us that nature is uncertain. Studying the uncertain behaviour of trillions of particles in the hope of divining a theory of everything is like studying a trillion roulette wheels in the hope that will tell you the result of the next spin of the wheel.
Another challenge is that you would need to have observations from a representative range of interactions between particles, and there the problem is that we are not able to recreate particle interactions at very high energy ranges. You might be aware of the circular 'Large Hadron Collider' at CERN, which has a diameter of about five miles. To explore some theories of physics it would be necessary to have a particle accelerator with a diameter large enough to enclose the Solar System, which does not appear to be a feasible proposition.
To further the difficulties facing your suggestion, a theory of everything would have to take into account gravity, and gravitational effects between subatomic particles are so small that they would not be discernible in the observational data. Were you to attempt to overcome that problem by feeding the AI model with data about the stars etc, you would be thwarted by the fact that we can no longer observe the entire Universe, so there may be important large scale phenomena that we are prevented ever from observing. Also, there are aspects of nature we have never observed directly- such as dark matter, or the behaviour of matter inside black holes- and they might be forever out of our observational reach.
If those obstacles were not a sufficient deterrent, you might also want to bear in mind that ChatGPT works essentially by trawling existing sources of information and regurgitating the patterns within it, subject to a system of weightings. Its inherent capabilities are therefore woefully inadequate for the sort of task you have in mind.
f(X)=y, where you have X (input features), y (output features) and a model f. AI is intended to solve this problem: to find f() having X and y. In QM, we have f(), so, no need for AI. The QM f() is called the quantum mechanics formalism, which describes the rules of the behavior of y (QM state) for some X (QM system). – RodolfoAP Jan 22 '24 at 09:14