An object O in the middle between two objects A and B. To visualize the picture, think of the three objects as they were fixed in the fabric of the spacetime. Due to the expansion of the spacetime each object move away from each other; as if the middle one is fixed while the two others move away from it. An observer on A would receive a cosmological redshift from B that is greater than the cosmological redshift that he received from O. Accordingly, to an observer on A; B would recede faster than O. After a time t, the distance separating O and B would be greater than that separating A and O. Since the spacetime is isotropic, there is no preferred position. Did an observer on B agree with this picture? An observer on B, conversely, would find after a time t that the distance separating O and A would be greater than that separating O and B. Whom should we believe? It would be a paradox if we believed both of them. The cosmological redshift and its consequence recession velocity are no longer a distance indicator. We must seek for another cause for the cosmological redshift? We interpret the cosmological redshift as a curvature`s manifest.
Article The Cosmological Redshift Manifests the Curvature and Interp...