If the observable universe is a closed sphere that might be a boost for me. The FLRW constraint is
(a'/a)^2 = (8piG/3c^2) - k/a^2, for k = 0 being flat space, k = 1 for a sphere and k = -1 for a hyperboloid. As a, the scale factor becomes large the last term is small. The bias for flatness comes from inflation, where a region of an inflationary spacetime with large vacuum energy tunnels into a small vacuum energy. This results in so called pocket world's. There is a boundary to the high energy region. By the Gauss-Bonnett theorem this boundary has information. A type of quantum phase change may change the topology into a sphere that "pops off" the inflationary manifold. So for me this might be welcome news if the observable cosmos is spherical. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/14fe1ba2-0275-43cc-a2f1-72acb86bdd33%40googlegroups.com.
