As a result, the predicted cosmological redshift is limited by the numerical value [z.

So, in his theory, Lemaitre calculated the cosmological redshift in a roundabout way: by substituting, into the Doppler formula of classical physics, the speed of change of the curvature radius R he obtained his redshift law, i.

In contrast to Lemaitre, I suggested that the cosmological redshift law can be deduced in a more direct and profound way.

Herein I shall go into the details of just one of the obtained solutions - that in an expanding Friedmann universe, - wherein I obtained the exponential cosmological redshift, thus giving a theoretical explanation to the accelerate expansion of the Universe registered recently by the astronomers.

Distant redshifted SNe1a light sources from the Universe that are usually interpreted as cosmological redshifts are shown to be universal gravitational redshifts seen by all observers in the quantum celestial mechanics (QCM) approach to cosmology.

Therefore, SNe1a redshifts can be interpreted as universal gravitational redshifts instead of cosmological redshifts.

Previously labelled cosmological redshifts are actually gravitational redshifts of the photons reaching us from distant sources in the Universe that are in greater negative gravitational potentials than the observer.

If we did not compute the scale factor on the basis of metric distances, the equation would fail to work with

cosmological redshifts, which are a homothetic transformation for describing the evolution of light wavelength.

The difference between dopplerian and cosmological redshifts is discussed by Bedran [2].

Note that the galactic density profiles obtained with cosmological redshifts and dopplerian redshifts are very similar.

The theoretical evolution of the galactic density with respect to the present density assuming no new formation of galaxies (figure 3) was computed assuming cosmological redshifts with eq.

A comparison between the Doppler and cosmological redshifts.