Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Closed Form Solution to the Hubble Tension Based on Rh = Ct Cosmology

Version 1 : Received: 22 September 2024 / Approved: 23 September 2024 / Online: 23 September 2024 (12:25:43 CEST)

How to cite: Haug, E. Closed Form Solution to the Hubble Tension Based on Rh = Ct Cosmology. Preprints 2024, 2024091697. https://doi.org/10.20944/preprints202409.1697.v1 Haug, E. Closed Form Solution to the Hubble Tension Based on Rh = Ct Cosmology. Preprints 2024, 2024091697. https://doi.org/10.20944/preprints202409.1697.v1

Abstract

Haug and Tatum have recently solved the Hubble tension within a type of R_h = ct cosmology using an intuitive, smart trial-and-error search algorithm. The trial-and-error algorithm demonstrates that one can start with the measured CMB temperature and a rough estimate of H0. Based on the algorithm, one ends up matching the entire distance ladder of the observed supernovas by finding a value for H_0. However, this is a numerical search procedure, even though it can be completed in a fraction of a second on a standard computer. Here, we will demonstrate that the trial-and-error numerical method is not needed and that the Hubble tension can be resolved using the same Haug and Tatum model through a closed- form solution. This means one simply solves an equation to find the correct H0 value. This is possible because an exact mathematical relation between H_0 and the CMB temperature has recently been established, in combination with the linearity in an R_h = ct model.

Keywords

Hubble tension close dorm; Hubble constant; Cosmological redshift; z; CMB temperature

Subject

Physical Sciences, Astronomy and Astrophysics

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