On Sun, Sep 29, 2024 at 8:41 AM Alan Grayson <[email protected]> wrote:
*> But ME are written in tensor form. * > *Yes. * *> Doesn't that mean the equations are invariant under coordinate > transformations?* > *Yes.* *>If so, shouldn't ME be invariant under the Galilean transformation, which > is a coordinate transformation?* > *NO. Galilean relativity is a very good approximation of reality as long as the speeds don't become too high, and it would also be completely invariant under coordinate transformation IF Galileo's assumptions were correct; namely that there is no speed limit in the universe, and velocities always combine linearly even if they're going close to the speed of light, and simultaneity is an objective fact because time is the same for all observers. To put it another way, invariant Galilean transformations are mathematically consistent BUT experiment shows they are NOT physically consistent because Galileo's physical assumptions were NOT correct. It is necessary that a physical theory be mathematically consistent but it is not sufficient. * John K Clark See what's on my new list at Extropolis <https://groups.google.com/g/extropolis> nsf > -- 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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv0L6PkHYd9qBDwv%3DnhXfCFDUnrikjrY8gA80Znf0avQ_w%40mail.gmail.com.
