Parameter-Free Resolution of the Hubble Tension, the S8 Tension, and the Primordial Lithium Problem from M-Theory Compactification on G2-Holonomy Manifolds

e persistent discrepancies in the standard ΛCDM framework are addressed simultaneously within a single geometric construction derived from eleven-dimensional M-theory compactified on the Joyce orbifold T⁷/ (Z₃ ⋉ I*) with G₂ holonomy and Betti numbers (b₂, b₃) = (27, 451): the 5. 0σ Hubble tension, the 3–4σ S₈ tension, and the 4. 2σ primordial lithium problem. The topological beta function βK = W₄䃘 b₂ K₄₅₅/ (K₀ b₃) = 0. 02344 predicts the ratio H₀^local/H₀^global = e^ΔK/2 = 1. 0855 as a parameter-free topological consequence, yielding H₀^local = 73. 16 km/s/Mpc (0. 16σ from SH0ES) and S₈^WL = 0. 767 (0. 01σ from weak lensing). The identity H₀^local/H₀^global = S₈^CMB/S₈^WL emerges as a topological consequence of the G₂ geometry. The physical mechanism is identified as the Born-Oppenheimer quantum potential Q₁₎ = 3Cₐ₆²ρₘ²/ (8mK³M₏₋⁴) from the Wheeler-DeWitt equation on G₂ moduli space, with coupling Cₐ₆ = 0. 665 derived from SUGRA canonical normalisation. Numerical implementation through modified CLASS yields H₀ = 72. 04 ± 0. 83 km/s/Mpc and S₈ = 0. 751 ± 0. 009 (ΔBIC = 121. 8 vs ΛCDM). The primordial lithium problem is resolved through geometric wavefunction renormalisation Δ₁-₋₎₎₏ = 2γ₄₌ + 1 = 2. 154, reducing ⁷Li tension from 4. 2σ to 0. 3σ. A dark energy equation of state w₃₄ = -1. 008 is predicted, testable by DESI. Falsifiable predictions include Euclid S₈ = 0. 767 ± 0. 003 and standard siren H₀ determinations by 2035.