Pillar 37: Primordial Nucleosynthesis in a Finite Initial State: Resolving the Cosmological Lithium Problem via Quantum Bounce and Entropic Dynamics

Abstract The cosmological lithium problem persists as the sole unresolved tension in primordial light-element abundances: standard Big Bang nucleosynthesis predicts a 7Li/H abundance of (4-5) x 10^-10, yet metal-poor halo stars consistently yield approximately 1.6 x 10^-10. In Cosmological Pangaea, the non-singular quantum bounce accelerates effective expansion at high densities, shortening the neutron freeze-out window and suppressing 7Be production without additional parameters or stellar depletion mechanisms. Entropy gradients from Weyl-driven fragmentation provide secondary damping of lithium-producing channels, yielding a predicted 7Li/H of (1.6-2.0) x 10^-10 consistent with the Spite plateau while preserving full agreement with deuterium and helium abundances. 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