Use of Redshifts as Evidence of Dark Energy

Abstract

The large-scale dynamics of the universe is generally described in terms of the time-dependent scale factor $a(t)$. To make contact with observational data, the $a(t)$ function needs to be related to the observable $z(r)$ function, redshift versus distance. Model fitting of data has shown that the equation that governs $z(r)$ needs to contain a constant term, which has been identified as Einstein's cosmological constant. Here, it is shown that the required constant term is not a cosmological constant but is due to an overlooked geometric difference between proper time $t$ and look-back time $t_{\mathrm{lb}}$ along lines of sight, which fan out isotropically in all directions of the 3D (3-dimensional) space that constitutes the observable universe. The constant term is needed to satisfy the requirement of spatial isotropy in the local limit. Its magnitude is independent of the epoch in which the observer lives and agrees with the value found by model fitting of observational data. Two of the observational consequences of this explanation are examined: an increase in the age of the universe from 13.8 Gyr to 15.4 Gyr, and a resolution of the $H_0$ tension, which restores consistency to cosmological theory.

16 pages, 2 figures

References in corpus (9)

• Dark Energy and the Accelerating Universe
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• HD 140283: A Star in the Solar Neighborhood that Formed Shortly After the Big Bang
• Inferring the Age of the Universe with Globular Clusters
• The First Stars in The Universe
• The age of the Galactic thin disk from Th/Eu nucleocosmochronology III. Extended sample
• The Unsettled Number: Hubble's Tension
• A critical discussion on the $H_0$ tension
• Cosmological Constant from Boundary Condition and Its Implications beyond the Standard Model