Nightness said:
"what is being used now at the moment"... Could you elaborate?
Last I checked, it is commonly accepted that gravity is a property of matter, not space. And also considered one of four fundamental forces, indicating that a particle is the cause of gravity.
Then your somewhat out of date -- Newtonian gravity has been supplanted by General Relativity. (The reason they still teach Newtonian gravity is that it's by far simpler, making it the best tool for the many applications where it's accurate enough)
The central geometric idea is that of a manifold. First, think about the difference between a flat sheet of papr, and a sphere -- while we can use a flat sheet of paper to depict what's happening on the sphere (e.g. we can draw a map of the Earth), there are geometric differences between the two. Pay careful attention to the fact that a straight line (called a "geodesic") drawn on a sphere is a great circle, such as a line of longitude. (Lines of latitude are not straight on the sphere, despite the fact they often appear straight on maps)
Have you fully grasped that? Now imagine the same thing in three dimensions instead of two. The geometry of physical space is different than Euclidean space geometry. While we may draw maps of the universe as if it were Euclidean, the actual geometry is different. In particular physically straight lines appear curved and bent in our three-dimensional map.
Ok, now the really tough part -- and you probably have absolutely no chance to fully grasp this until after you've learned special relativity -- imagine the same thing in four dimensions: the actual 3+1-dimensional space-time we really (seem) to live in. Matter, when influenced by gravity alone, always moves in straight lines. However, if we try and draw flat Minkowski
1 maps, such lines will appear bent. If we believe these maps, then gravity appears as a force.
General relativity takes this picture as the basic geometry of the universe -- and the Einstein Field Equations specify how geometry and matter act to define how the geometry looks in the future. (And matter, when influenced only by gravity, always travels in the straight lines dictated by the geometry)
That said, I don't think this resembles your idea at all. Have you managed to make any quantitative predictions with your ideas yet? Ideas are fine and stuff, but they aren't useful in physics until you can refine them to the point where you can actually make specific calculations. (and even then, we don't put any confidence in the idea until it's passed experimental tests) We use general relativity because it made some specific predictions that Newtonian gravity got wrong, and still gives the right answers in all the cases Newtonian gravity got right. And as we've probed deeper into the universe, we've found that what we see seems to continue to remain consistent with general relativity, thus giving us confidence that we can use it at such cosmological scales.
