Matter vs. Anti-Matter asymmetry stems from "global" Curvature (Topology) of Spacetime ?

 

Does matter / anti-matter symmetry assume, implicitly, that spacetime is "globally" flat ??

 

If so, could it be, that the highly curved state, of a hyper-spherical "closed" cosmos, or hyperbolic "open" cosmos, soon after the Big Bang, would favor one form of matter over the other -- perhaps b/c matter & anti-matter "protrude" from spacetime in "opposite directions" (as per PP) ??

 

If so, by appealing to non-flat spacetime fabrics, as the "backdrop" for early Cosmological phenomena, perhaps the preference for matter over anti-matter amounts to convincing evidence, that the Cosmos is, in fact, closed ??

 

(Furthermore, perhaps matter / anti-matter symmetry would imply "flat" spacetime, and anti-matter / matter asymmetry would imply "open" spacetime ??)

Please stop posting your conjectures in the science sections. They belong in speculations. Moved.