In Feynman's New Zealand lecture, he points out how the Inca Indians were able to predict the motion of major heavenly bodies but did not understand the physics behind these motions (Let us assume that is true. We don't have, as Feynman points out, much recorded Inca history so it is possible they contemplated a sun centered solar system with planets, moons, and other stuff orbiting the sun and may have even come up with Newton's law of gravitation, big ifs). I think Feynman pointed out that like the Incas we can predict much experiment, and like the Incas we have no picture (in the spacetime that the experiments occupy) that implies the quantum physics of nature. Did Feynman consider such a picture tough or impossible to come up with? I think Feynman answers this question at the one hour, 8 minute mark of the video above, very tough. Have any of our best physicists and mathematicians made any stabs at such a picture? Any suggested reading would be welcome!