Hi Hilmar,
If we had some way to see the universe at speeds much greater than light, so that the universe, as a whole, could be watched instantaneously, there would be no anomalies. I could watch you traveling at the speed of light as I also observed me traveling an the much less speed of earth as time passed. I would be able to project the universe at a future time based on studies of the current trend in the universe.
Maybe someone will find a way where we can see the universe without the need for light, which is a poor mechanism to interpret such a vast expanse. For example, maybe someone will find a way to use dark matter, much like we use radar, to observe the universe. This sounds like science fiction, but I think some day it will come to pass.
Regards,
LelandJ