Primordial nucleosynthesis and Dirac's large numbers hypothesis
Abstract
Consideration is given to the analysis of Falik (1979) which attempted to show that the cosmological model proposed by Canuto and Hsieh (1978) in which the gravitational constant varies with time contradicts observations of primordial helium. It is shown that the analysis was based on the assumptions that (1) the energy density of radiation in local thermodynamic equilibrium is approximately equal to the fourth power of the equilibrium temperature, where the product of the equilibrium temperature with the scale factor of the RobertsonWalker metric is constant, and (2) the gravitational constant is approximately equal to the inverse of the time even at early cosmological epochs. These assumptions are demonstrated to be invalid in the scale covariant theory of gravitation used to develop the model, thus negating the conclusion that the Canuto and Hsieh model excludes the primordial synthesis of helium.
 Publication:

The Astrophysical Journal
 Pub Date:
 July 1980
 DOI:
 10.1086/183299
 Bibcode:
 1980ApJ...239L..91C
 Keywords:

 Cosmology;
 Dirac Equation;
 Helium;
 Nuclear Fusion;
 Astronomical Models;
 Extrapolation;
 Astrophysics