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.
 

> 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
>

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