I wonder, if given a big set of time1, time2 pairs (with relatively short dt) of the positions of the planets in our solar system, as seen in the night sky on earth, a machine learning system would be able to come up with good way to predict where the planets are going, given their positions.
Surely a machine learning system would need to be able to solve this 18th century physics problem, before we throw modern physics problems at it.
Pretty sure what you will end up with in the best case is a numerical integrator of the solar system as represented by a neural net. I also expect to have pretty crappy stability, but its an interesting question what sort of time step method it would approximate.
Surely a machine learning system would need to be able to solve this 18th century physics problem, before we throw modern physics problems at it.