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, [email protected] > 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
