> A particularly interesting question was whether the set of variable was unique for every system, or whether a different set was produced each time the program

> A particularly interesting question was whether the set of variable was unique for every system, or whether a different set was produced each time the program was restarted. indeed! i'm assuming it finds the same variables over multiple runs with different rng seeds. if that is true, it seems the next interesting question is if multiple kinematic problems can be used for the training of the same net. one key feature of physics is that it was invented to describe general principles that apply to multiple problems, so it doesn't surprise me that it might find some more optimal representation that doesn't necessarily generalize to other physical problems.