Hard to say but it's not exactly the same. For example the world engine has this weird tentacle sentinals and black zero does not.
As i understand it black zeros engine works as some sort of a catalyst to the world engine interacting with the mechanimus of that massive machine but the main transforming process is based on the world engine.
Black Zero is a spaceship that carries people, ships, equipment etc.
World Engine is just a machine. You can't go inside of it or live in it.