I missed an important point in my description of why things move when they are not influenced by any force:
The HyperGeometrical Universe Theory shows that non-inertial motion takes place through the change in propagation vector. Two radial trajectories (outgoing along the Radial fourth-dimension or k-vector along the Radial direction) at positions separated by alpha radians (see figure above) will run away (Hubble expansion) from each other at speed alpha * c (velocity of light). If a body starts moving from Point A with speed alpha*c, it will continue moving until it reaches a point alpha radians from Point A (Point B). Reaching that Point B the body will simply move outwards while its Hubble speed from Point A will remain alpha*C. In this model , motion is due to a change in k-vector which has a dual equivalent as a local spacetime deformation. The motion from point A to point B relaxes spacetime and make it naturally curved again.
This means that the HyperGeometrical Universe Theory provides the reason for free motion and complements Newton's Law...:) The point that was missing in the argument was that spacetime relaxation within the four-dimensional shell is the reason for motion. The relaxed motion is always an outwads motion consistent with the relaxation of the local k-vector (normal to the local region of spacetime) from oblique to perpendicular to the shell.