Relating a position (x,y,z) to an orientation (x/R,y/R,z/R) and a displacement (dx,dy,dz) to a vector of rotation angles (dx/R,dy/R,dz/R) with an axes perpendicular to the orientation and to the vector of rotation angles, leads to a completely defined geometry.

Geodesic lines generated by rotations corresponding to Euclidian displacements in this geometry are diverging.The divergency results from the fact, that the direction of the rotation axes depends on the orientation. Neigboured points therefore have slightly different rotation axes.

On a large rotation the tiny difference in the rotation axes of neighboured points leads to a noticeable increase of the separation between the points.

A finite volume of such points then becomes dilataded during a displacement over cosmic distances.

Using this rotational homology we therefore can explain the Hubble red shift with a static but curved geometry. Can that be fringe?