Current progress in cosmic microwave background (CMB) anisotropy measure- ) from the CMB power spectrum radiation temperature anisotropy. The results show that, besides the Lambda cold dark matter (ΛCDM) model, much simpler Einstein-de Sitter (EdeS) models without the cosmological constant can fit the data as well, or even better, than the ΛCDM model. Calculations with EdeS models yield unexpectedly low values for Hubble's constant of h = 0.30 and 0.46, respectively. These values are completely inconsistent with the direct determination of h ~ 0.70 from the redshift (RS) of spectral lines. In the present paper I consider whether the gap between h = 0.3 and h = 0.7 could be explained using conventional physics without introducing further hypotheses, or whether the RS of starlight and the RS of the CMB could stem from different physical origins.