Abstract
The geometric mean plays a central role in several parts of thermodynamics. Here, we demonstrate that the geometric mean of the maximum and minimum values of the properties in the Hubble sphere leads to equations that can predict the CMB temperature now, as well as be used to link different properties of cosmology into a consistent mathematical framework. Our theory does not seem compatible with a series of assumptions in the Λ-CDM model, but it seems fully consistent with RH = ct black hole cosmology. This means that in RH = ct cosmology, we can easily predict the CMB temperature now—something the Λ-CDM model cannot do.