Primordial Lithium Abundance Suppression via Geometric Cross-Section Enhancement in M-Theory Compactifications on G2-Holonomy Manifolds

The persistent discrepancy between the predicted primordial lithium-7 abundance from standard Big Bang nucleosynthesis (SBBN) and observations of metal-poor halo stars has remained unresolved for over four decades, currently exceeding 10 sigma. A resolution has been derived from M-theory compactified on a G2-holonomy manifold with Betti numbers (b₂, b₃) = (27, 451). Spectral zeta function regularisation of the vacuum energy on the compact manifold yields a one-loop correction factor Delta = 2*gamma_EM + 1 = 2.154, where gamma_EM denotes the Euler-Mascheroni constant. This topological invariant enhances the effective nuclear cross-section for all Be-7 destruction channels through wavefunction renormalisation at the interaction vertex, yielding an enhancement factor of 3.154. The detailed balance theorem guarantees that reactions in chemical equilibrium (deuterium, helium-4) remain unaffected, while the marginally frozen Be-7 network is selectively suppressed. The predicted lithium-to-hydrogen ratio (Li/H)_QGU = (1.48 +/- 0.35) x 10⁻¹⁰ agrees with the Spite plateau observations (1.58 +/- 0.31) x 10⁻¹⁰ at the 0.3 sigma level, reducing the tension from 10 sigma to below 0.3 sigma. Bayesian model comparison yields a Bayes factor of 10^20 in favour of the geometric framework over SBBN. No adjustable parameters or hypothetical particle species have been introduced.