Abstract

Based on previous work, it is shown how a time varying gravitational constant can account for the apparent tension between Hubble’s constant and a newly predicted age of the universe. The rate of expansion, about nine percent greater than previously estimated, can be accommodated by two specific models, treating the gravitational constant as an order parameter. The deviations from ∧CDM are slight except in the very early universe, and the two time varying parametrizations for G lead to precisely the standard cosmological model in the limit where, , as well as offering a possible explanation for the observed tension. It is estimated that in the current epoch, , where H0 is Hubble’s parameter, a value within current observational bounds.

Highlights

  • Based on previous work, it is shown how a time varying gravitational constant can account for the apparent tension between Hubble’s constant and a newly predicted age of the universe

  • Observational data rule out a time varying G of this order of magnitude

  • As noted in my original work, and as recognized by various other authors [13], it has been suggested that the vacuum energy formed in the inflationary period may provide a direct link between atomic physics and cosmology

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Summary

Introduction

It is shown how a time varying gravitational constant can account for the apparent tension between Hubble’s constant and a newly predicted age of the universe. It was suggested that, G G ~ −H , where G is Newton’s constant, H is Hubble’s parameter, and G is the time-varying gravitational constant. We believe that we derived a cosmic evolution with this time-varying gravitational constant which led to sensible results at key cosmological epochs.

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