An Analytical Model for Cosmology with a Single Input, the Redshift

Abstract

We propose an analytical model for cosmology which requires only one parameter as an input. This parameter is the redshift. The model is based on conservation of energy, Planck’s Radiation Law, and the relation between energy and frequency of waves. The model yields the current age of the universe, the age of the universe at the CMB emission, as well as the time histories of its expansion velocity and acceleration. The model also is used to show the existence of a constant energy per unit area, associated with the momentum energy of photons, which generates the pressure that perpetuates the expansion of the universe. The model is completely independent of the ɅCDM model but implicitly includes the effects of gravity. Using the model we show the existence of a constant in nature that under certain assumptions can represent the Hubble constant. We have used the model to derive the Hubble constants measured by Reiss et al. and by the Planck Collaboration. Using the model we show that the path of light in the Planck collaboration measurement is along a circular arc, while the Reiss et al. measurement path is exactly along the chord of the same circular arc. The difference in the light travel times along these two paths matches exactly the difference between the two measured values for the Hubble constant, as measured by Reiss et al. and as measured by the Planck Collaboration. This result explains the cause of tension between the two methods of measurement.