Quote: "Who says this is relate to Rapture?"
As far as I understand, this is a city that is the complete opposite of Rapture (Obviously

), but if you watch the trailer you will see a billboard of a woman dressed in an American flag dress (Columbia) taking one child that looks healthy and also a baby floating into darkness and is scrawny(Rapture), so from what I can gather this city, is going to be haters of Rapture. Also from the gamespot interpretation...
Quote: ""Time to tear this video apart to see what we can glean from these visuals. The world of BioShock pushes ideals to the extreme and, in so doing, explores them as they fall over the edge, so to speak.
Only the best and brightest were allowed to enter Rapture, so it makes sense that this exclusionist mentality would be carried into BioShock: Infinite. Even knowing the ethos of this society, this picture is still pretty jarring. Columbia (the female personification of America) is not trying to hide her feelings in the least. The scrawny baby to her left, which she derisively refers to as "chaff," is not getting inside this airborne society. Instead, she's cradling the much healthier-looking baby. So, these people clearly don't believe in helping your tired, your poor, or your huddled masses. Or babies."
"
Gamespot broke it down, and it may give ideas on what the story might be...
http://uk.gamespot.com/special_feature/bioshock-breakdown/image-feature/index.html?image=1