Conjecture on isotope production in the Bianchi cosmologies

Abstract
We prove that time-scale arguments for Bianchi type-I, nonrotating type-IX, rotating type-IX, and locally rotationally symmetric type-V homogeneous cosmologies unambiguously predict that helium will be raised with respect to the standard-model abundances for potentially viable values of the parameters. We conjecture this is true for all Bianchi models. We also argue that neutrino physics tends to raise helium in types I and IX and hypothesize that this is true in the other Bianchi classes as well. The methods of proof have general applicability to the study of the dynamics of Bianchi cosmologies. Numerical results for type V are also given.

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