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## Main Question or Discussion Point

As history is Newton considered infinite speeds of his gravitational force as unphysical, out of which Einstein constructed relativity.

In special relativity moving faster than c induces an imaginary space-time and is hence ruled out.

My question is regardin towards GR, in which Gödel showed that in rotating universes solutions to GR closed time-like loops could exist.

Are those also ruled out by physics community due to the time protection hypothesis ?

I suppose yes. Then by looking at the construction of GR, is it that the construction of the Riemannian curvature transport is made out of parallel transporting a vector along a closed curve ?

This seems unphysical to build a theory out of closed loops in space-time.

So how could other calculations of the curvature be made on helix-like curves ? I'm looking for documents about this particular point.

Thanks.

In special relativity moving faster than c induces an imaginary space-time and is hence ruled out.

My question is regardin towards GR, in which Gödel showed that in rotating universes solutions to GR closed time-like loops could exist.

Are those also ruled out by physics community due to the time protection hypothesis ?

I suppose yes. Then by looking at the construction of GR, is it that the construction of the Riemannian curvature transport is made out of parallel transporting a vector along a closed curve ?

This seems unphysical to build a theory out of closed loops in space-time.

So how could other calculations of the curvature be made on helix-like curves ? I'm looking for documents about this particular point.

Thanks.