A Proof that Cosmos Is One! All Cosmological Parameters Can Be Described Using Only One Parameter: The Compton Wavelength

We demonstrate that a broad class of cosmological properties, when expressed in their simplest form, reduce essentially to the reduced Compton wavelength of the Universe. This result follows from the use of the natural unit system (the Planck unit system), together with recent breakthroughs in cosmological thermodynamics. For example, the mass, radius, and Hubble time of the Universe are all simply related to one or two divided by the reduced Comp- ton wavelength of the critical Friedmann mass. The CMB temperature is directly related to the square root of the reduced Compton wavelength of the critical Universe, while the Hubble constant is given by the reduced Compton wavelength of the critical Universe divided by two. These relations not only substantially simplify cosmology, but also significantly increase the precision of many cosmological parameter estimates compared to the Λ-CDM model. The improvement arises because, in recent years, we have derived exact mathematical relations connecting the CMB temperature to other fundamental cosmological properties—relations that have largely gone unnoticed. We hope that increased attention to this framework will reveal the considerable progress that can be achieved along these lines.