Very well, lithium abundance it is. There is indeed a tension in BBC with Li abundances, although to find out how serious it is I will need to do some reading. Probably some other forum members can help with that.
For the PC side, you've provided two papers by Eric Lerner. Can I assume that - in your view - the theory presented in those papers is (part of) PC, and that the results in those papers were derived correctly from the theory?
Well the latter paper is hugely out of date and thus as far as I can tell pretty much irrelevant given that with the WMAP data the agreement for D,3,4He is excellent. The lithium problem remains. Thanks to Zeuzzz I previously read how from calculations Lerner "showed" that the results on Lithium isotopes ruled out the Big Bang to some astonishing degree of certainty... something like 7sigma or 1 in 107. Unfortunately for Lerner and the integrity or at least competence of the journal which decided to publish his paper, it was implicitly assumed that the deficiency came exclusively from the cosmological model. I don't recall any sign of acknowledgement that the results could signify problems with our understanding of environments for the production/destruction of lithium or the nuclear physics involved. Especially in light of the WMAP data which gave very good agreement for the other isotopes.
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