Is is possible that the expansion of the universe is a large-scale negative curvature of spacetime? My picture is that this large-scale curvature is like gravity but proportional to the mass of the universe and increasing with distance from each observer. Negative large-scale curvature is mentioned in some cosmological models such as Mixmaster. The beauty of the model is that it has some predictive results and also that it leads to an interesting picture of the early universe. Predictions include acceleration in the expansion of the universe due to equivalence and potentially observable structure characteristics of the universe. The intersting picture this leads to of the early universe is that the early universe exists in a plasma, infinately curved spacetime and that a phase transition occurs due to quantum fluctuations in this 'outside of our universe' perfect state. Matter-energy gravitationally pull together and polarize direction in spacetime. The predictive structure would be foamlike large structures because the way the universe forms would be different than purely from kenetic energy alone. Computer models, therefore, could help prove or disprove the model.

What do you think?

We would need to determin first whether the curvature of our spacetime is negative. If it turns out to be positive or zero then the working on such a model becomes the waste of time.

I don't see why you would think that.

To prevent misunderstandings, could you clarify whether you were asking for an answer at the level "general audience", "undergraduate student", or "graduate student"? If the last I can give you some citations. Ditto if your real questions concern the Mixmaster universe or related exact dust solutions.

__________________
Chris Hillman

Read these PF posts. Avoid Wikipedia--- except for these versions. Read this and this suggested sticky. When asked for advice, I always say: never take advice!