Such a sphere is an exciting concept. I think humanity will probably achieve something like it. When? It depends on when we stop holding back and censoring technology. If we worked hard at it, we could achieve it within our lifetimes. The information singularity is predicted to occur in the 2030s, and at that point technology will increase at levels faster than we can comprehend. What seems like magic to us now, will be possible with little effort in the near future. But we have to stop killing each other.