http://arxiv.org/abs/2301.06947
At least one dimensionless physical constant (i.e., a physically observable) must change for the cosmic time to make the varying speed of light (VSL) models phenomenologically feasible. Various physical constants and quantities also should be functions of cosmic time to satisfy all known local laws of physics, including special relativity, thermodynamics, and electromagnetism. Adiabaticity is another necessary condition to keep the homogeneity and isotropy of three-dimensional space [1]. To be a self-consistent theory, one should consider cosmic evolutions of physical constants and quantities when one derives Einstein’s field equations and their solutions. All these conditions are well satisfied in the so-called minimally extended varying speed of light (meVSL) model [2]. Unlike other VSL models, we show that the redshift-drift formula of the meVSL model is the same as standard model one. Therefore, we cannot use this as an experimental tool to verify the meVSL. Instead, one can still use the cosmological chronometers (CC) as a model-independent test of the meVSL. The current CC data cannot distinguish meVSL from the standard model (SM) when we adopt the best-fit present values of the Hubble parameter and matter density contrast from the Planck mission. However, the CC data prefer the meVSL when we choose Pantheon’s best-fit values of them.
S. Lee
Wed, 18 Jan 23
15/133
Comments: 13 pages, 1 figure,. arXiv admin note: text overlap with arXiv:2011.09274