Yes Raja may have something and it is true that we are the reality between the 2 opposites or at least we tend to this reality of perfect balance and harmony between the 2 opposites !
You wrote :
"the big question is what caused them to separate ?"
or why from a androgyn self replicating human being did we
experienced fissiparity ?
is that what you mean ? if so I have my theory but for that you
have to believe in a great designer in the first place !
In this regard the story of Pinocchio can provide some clues !