You often bring up two terms, the false self and the transitional self. What's the relation, if any?
False self is another name for ego-mind that dominates and limits our consciousness, that promotes the idea of a separate self in a vast world of separate selves. At the same time it's our vehicle of discovery that provides the material needed to unlock who we really are.
So in a way we could say the false self is unconsciously connected to Real Self.
Sure, and the transitional self, the vehicle for awakening to flower, is also limited, but is more consciously connected.
Birds of a feather.
Yes, except one can fly and the other can't.