I understand that there is red shift measurements that suggests an expanding universe, but imho, there may be another reason for red shift, and so I look to the future for a correct conclusion. I also understand that contemporary science has already reached the conclusion of doppler red shift and thus an expanding universe, that's fine also. But it is the scientific correct conclusion concerning nucleosynthesis in the future that will establish an end to the speculation of a BB. Let's see.
Red shifts can be explained in a SS model. The CMBR cannot.
Find, in a SS theory, an explanation for a background Planck distribution that matches the theoretical curve to one point in 100,000 *and* matches predictions as to the *variations* from that theoretical curve. It is the most precise Planck curve we have ever detected, which excludes esentially all explanations in terms of background galaxies and such.
Red shifts are only one, rather small piece of evidence. You also need to explain the light element abundances, which again match the theoretical predictions, with deuterium being the most difficult to match. The expansion 'cuts off' the formation of equilibrium in the early universe. Again, no SS model manages to do this.
I can go one, with discussion of the details of gravitational lensing, of how angular distance changes with other distance metrics, etc.
The BB models fits all of these. No model without a universal expansion manages to get anywhere close, especially with the CMBR.