There is the possibility that on a Planck-scale the universe is not a fourdimensional manifold but only a flat spacetime, consisting only of a permanent timelike dimension and periodic caused spacelike dimensions by the quantum potential of this timelike dimension. In this case the quantum-states of spacelike dimensions form an orthogonal system. For this model a twodimensional Riccitensor can be constructed for every dimension and four of them can be formed to a fourdimensional structure but without intercoupling. A possible intercoupling then would lead to description of classical GRT-structure. This model also can be described mathematically by a special hypocycloide, a deltoide, where the points of the curve mapping exactly on the outer circle of the rotation process. These are the resonance-points of the timelike with the spacelike potentials, causing the dimensions as triple eigenvalue of signature. And so a form of ON/OFF-operators are introduced, which shows similiar structures as spin-operators and can possibly be used to describe the forming of the dimensions.