Hi - - I'm hoping that at least one of you has a real familiarity with hyper-surfaces, (which for myself are mostly interesting as the posited analogs, in some models, of our physical universe.) Being very uninformed about hyper-anythings, I ask:
Assuming for sake of discussion that our universe were somehow the equivalent of a (say) three-dimen- sional hyper-surface on a hyper-sphere, would a given point <in> our universe correspond to a given point <on> that 3-D hyper-surface? Or might a given point in our universe correspond somehow to a higher dimensional object, perhaps even a 2-D surface entirely spanning the hyper- sphere. I'm just wildly grasping at straws here. Thanks.