phinds said:
bahamagreen, your first paragraph seems right, but the rest of your post made no sense to me
That may be because I'm incorrect..? :)
But here is my thinking:
- we accept relativistic length contraction of observed moving objects, the faster, the more contraction
- we accept that length contraction includes space, objects, meter sticks
- we observe red shift inferring universal recession increasing with distance
those three things together suggest:
- distant receding objects (galactic super-clusters, etc.) appear contracted progressively with distance
- the space between these objects similarly appears contracted
- approaching the limit, these objects appear thinner and thinner, and likewise the spaces between them
- approaching the limit, there is room for an infinite amount of these objects and the spaces between them
the geometry of this suggests:
- this appearance will be the same from anywhere
- there is no center (everywhere looks like the center)
- any observer will view their location as a density minimum with observed density increasing approaching the limit
- the "edge" or limit is not an observable edge of the universe, it is the surface distance before which everything we can observe exists, and within that surface, because of the progressive contraction, there is room for an infinite number of objects (all locally "space normal")
- this is a finite sphere with infinite volume within because as you observe distant objects they appear thinner, as does the space between them
- the curvature is observed contraction and density increasing with distance approaching the limit
I think this line of thought is direct from and consistent with what SR means for an expanding cosmology... but let me know if not. Maybe GR has more to say on this.