lithium_problem

Recognition Science models Big Bang nucleosynthesis by constraining abundances through the baryon-to-photon ratio η derived from φ and nuclear reaction rates shaped by the eight-tick structure. The module documentation states that ⁴He, D, and ³He abundances match observations well, while ⁷Li/H ≈ 1.6 × 10^{-10} exhibits the lithium problem. Upstream definitions include the fundamental tick τ₀ = 1 as the RS time quantum and the structure of nuclear densities occupying discrete φ-tiers. The J-cost function from multiplicative recognizers informs potential adjustments to production and destruction rates for lithium-7. The local setting derives light element abundances from RS principles, with the eight-tick octave influencing nuclear magic numbers and binding energies.

The proof is a term proof that directly applies the trivial tactic to the goal True. No additional lemmas from the depends_on list are invoked in the formal proof; the accompanying comment outlines possible J-cost effects on ⁷Li production, stability, and stellar destruction, along with the potential role of the 8-tick nuclear structure.

This theorem marks the lithium problem in the COS-012 BBN module, linking it to the Recognition Science framework's eight-tick structure for nuclear binding. It relates to the RS mechanism where abundances follow from φ-constrained parameters, as noted in the module documentation. The declaration touches the open question of whether J-cost considerations or the 8-tick octave can resolve the factor-of-three discrepancy, though it has no downstream theorems depending on it.