0(4,2) Operator replacements: Geometrical interpretation

The method ofo(4,2) operator replacements relies upon a particular realization of theo(4,2) Lie algebra in terms of position and momentum operators, involving a free dimensionless parameter . The geometrical significance of the operator replacements is given. The momentum space becomes a three-dimensional sphere of radius [exp()]/2 (atomic units) embedded in a four-dimensional Euclidean space. A much simpler realization of the replaced operators is obtained.