I Time Travel in Newtonian Spacetime: Is it Possible?

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Time travel in Newtonian curved spacetime raises questions about its feasibility due to the nature of Newtonian physics, which defines space as Euclidean and time as absolute. The discussion suggests that Newtonian curved spacetime is merely a formalism for traditional Newtonian gravity, lacking mechanisms for time travel. It is implied that time travel could only be considered if the spacetime exhibits non-trivial topology. The conversation highlights the limitations of Newtonian mechanics in addressing time travel concepts. Ultimately, the consensus leans towards skepticism regarding the possibility of time travel within this framework.
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Is time travel possible in Newtonian curved spacetime?
 
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Newtonian space is Euclidean and Newtonian time is absolute.
 
accdd said:
Is time travel possible in Newtonian curved spacetime?
Newtonian curved spacetime is just another formalism for standard force-based Newtonian gravity. So I don’t see how, unless the spacetime has some non-trivial topology
 
In Birkhoff’s theorem, doesn’t assuming we can use r (defined as circumference divided by ## 2 \pi ## for any given sphere) as a coordinate across the spacetime implicitly assume that the spheres must always be getting bigger in some specific direction? Is there a version of the proof that doesn’t have this limitation? I’m thinking about if we made a similar move on 2-dimensional manifolds that ought to exhibit infinite order rotational symmetry. A cylinder would clearly fit, but if we...