when we see the Vatican in Trinity Blood, one thing that makes it stand out (compared to the irl version) is that it has a floating sword
at first i thought this might have been a Sword of Damocles but generally when there is a Sword of Damocles reference, the sword is a threat ie. in Code Geass
the Sword of Damocles's purpose was to float above earth to be able to nuke anything and everything no matter where
but in the images we see of this floating sword over the Vatican, it looks like the sword, if dropped, would just drop infront of the entrance rather than on the Vatican building, so the symbolism is sorta lost if it was a Sword of Damocles.
So i am wondering what the symbolism is of this floating sword, and if it is a Sword of Damocles, how exactly is it a Sword of Damocles?