Separability of Black Hole Coefficients

We investigate the theoretical possibility of a complete definition of the fundamental constants of states and regions of spacetime in general relativity by the use of the $S^0$-Minkowski vacuum. We find that, for several values of the $S^0$-Minkowski vacuum parameters, the black hole coordinates are not separable. We argue that the black hole coordinates are separable in the limit where they vanish.