On Sunday, February 17, 2019 at 6:34:24 AM UTC-7, Lawrence Crowell wrote: > > On Saturday, February 16, 2019 at 6:06:58 PM UTC-6, agrays...@gmail.com > wrote: >> >> 1) Using the EP and the example of an accelerating elevator, it follows >> that light takes a curved path in space (not space-time). Wasn't this >> known by virtue of Newtonian gravity? >> > > Newton computes half the correct value by general relativity. > > >> >> 2) Assuming a geodesic is the shortest distance between two *spatial* >> points on a curved surface, does it follow from the EP that free falling >> bodies move on geodesics, and if if so how? >> >> > It is an extremal distance, and because of the Lorentzian metric is is the > maximal distance. This extremal principle derives the geodesic equation. > This is a standard exercise in introductory courses on general relativity. >
*Is it correct to say that in 3-space with the Euclidian metric the geodesic is the path determined by minimal distance between two points, whereas in 4-space with the Lorentzian metric it's the maximal distance? TIA, AG* > > >> 3) Concerning the above questions, how does "space-time" enter the >> picture since it seems the questions can be asked without referencing >> space-time. >> > > It is because the global or flat theory is special relativity that > pertains to local inertial frames. > > LC > > >> >> TIA, AG >> > -- 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 post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
