Physics has always been throwing math at reality and seeing what sticks. So why is it invalid to come up with a more universal mathematical object and seeing h

Physics has always been throwing math at reality and seeing what sticks. So why is it invalid to come up with a more universal mathematical object and seeing how it converges. Sure 10^500 but how how quickly are we throwing away 10^450 after experiments x, y and z? Perhaps they've invented too flexible an object and so it will never settle down, or perhaps they've invented the perfect mathematical object that will slowly but surely settle down on our reality as long as we keep feeding it experiments. A lot of science is discovering what can't be. Whatever is left is the discovery of something new.