Primordial nucleosynthesis and scale-covariant cosmology

Astronomy and Astrophysics – Astrophysics

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Abundance, Cosmology, Gauge Theory, Gravitation Theory, Helium, Nuclear Fusion, Black Body Radiation, Dirac Equation, Microwaves, Radiant Flux Density, Relic Radiation, Space-Time Functions

Scientific paper

The scale-covariant theory of gravitation, which was proposed by Canuto et al. (1977), assumes that gravitational and atomic units are related by a scalar function of space-time. The cosmology based on this theory can explain very well the 3K radiation, as well as Hubble's redshift law. However, Falik (1979) derived a result from the scale-covariant cosmology which was in conflict with the observed helium abundance. Contrary to Falik, the author shows in this paper that if he chooses a gauge function β ≡ tα and α satisfies the condition -1/3 < α < 1, the scale-covariant cosmology will be consistent with the observed cosmic-helium abundance. The value α = 1/2 has recently been suggested by Canuto and Goldman (1982) on general grounds.

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