A New Direction Of Study Of Smarandache Geometries

A new direction of study of Smarandache Geometries It seems to me that any reasonable generalization of an s-manifold to higher dimension would be equivalent to the spaces studied using polyhedral metrics. I think Smarandache geometries should be common among these spaces. Another idea I had was that since general relativity corresponds to curved spaces, perhaps another kind of relativity would correspond to polyhedral spaces like s-manifolds. Similar to s-manifolds, we can form spaces by removing or adding wedges of any angle to the plane. This will form curvature singularities of varying degree, and would be somewhat more general than an s-manifold (whose curvature is always -60 degrees, 0 degrees, or +60 degrees removed). From these, we create a 3-dimensional space by adding a time dimension. We do this so that for each moment of time there is a 2D space of the type just mentioned, and if we follow each curvature singularity, its position and curvature varies linearly. I conjecture that the motion of objects with mass (e.g. the earth about the sun) can be modeled in such a space. Howard ISERI.