On Sun, May 31, 2020 at 6:58 PM Alan Grayson <agrayson2...@gmail.com> wrote:
*> Some other examples: using Newton's law of gravitation, one can > mathematically DERIVE the result that planet trajectories are conic > sections; using mathematics one can show that Newton's equations of motion, > Hamilton's equations of motions, and Lagrange's equations of motion are > equivalent;* Yes, you can prove MATHEMATICALLY that Newton and Lagrange's equations are exactly equivalent, but more than a century ago it was proven EXPERIMENTALLY that both those equations are equally WRONG, or at least less correct than Einstein's equations of motion. Perhaps someday somebody will find equations that make predictions even better than Einstein's, but they could not be proven to be better mathematically, they'd have to be proven to be better experimentally. John K Clark > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv1rOo8Fh1aMva0DyUpUhepTqgbjoDTuW2Gxh2dV20aZDg%40mail.gmail.com.
