Space time itnerval3/11/2023 the chosen reference frame given by the coordinates at infinity, if you follow the usual convention that the Newtonian gravitational potential #\Phi(x) \rightarrow 0# for #x \rightarrow \infty#. In your example of the Newtonian approximation the coordinate time is the time of an observer at rest wrt. Then the invariant "length" of this worldline can be defined as a "distance". One way is to look for a geodesic connecting these two events. You always have to specify a worldline connecting the two events. It doesn't make sense to say two events have some "distance" or "interval". In special relativity we've the invariant #\begin#
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