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- gravitation time dilatation as proof of curved spacetime

Hi,

starting from this very interesting thread

The main point, as far as I can understand, is all about conditions for a quadrilateral to be considered a parallelogram.

My first basic doubt is: the concept of 'parallel' applies just to geodesic paths or in another words: does make any sense to talk about 'parallelism' between two non geodesic paths ?

starting from this very interesting thread

I'm still a bit confused about the conclusions.In a recent thread, the question came up of whether the presence of gravitational time dilation implies spacetime curvature. My answer in that thread was no

The main point, as far as I can understand, is all about conditions for a quadrilateral to be considered a parallelogram.

My first basic doubt is: the concept of 'parallel' applies just to geodesic paths or in another words: does make any sense to talk about 'parallelism' between two non geodesic paths ?

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