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 β_K = WE₈ b₂ Keff/(K₀ b₃) = 0.02344 predicts the ratio H₀ˡᵒᶜᵃˡ/H₀ᵍˡᵒᵇᵃˡ = eΔK/2 = 1.0855 as a parameter-free topological consequence, yielding H₀ˡᵒᶜᵃˡ = 73.16 km/s/Mpc (0.16σ from SH0ES) and S₈WL = 0.767 (0.01σ from weak lensing). The identity H₀ˡᵒᶜᵃˡ/H₀ᵍˡᵒᵇᵃˡ = S₈CMB/S₈WL emerges as a topological consequence of the G₂ geometry. The physical mechanism is identified as the Born-Oppenheimer quantum potential QBO = 3CQG²ρ_m²/(8m_K³MPl⁴) from the Wheeler-DeWitt equation on G₂ moduli space, with coupling CQG = 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₋ₗₒₒₚ = 2γEM + 1 = 2.154, reducing ⁷Li tension from 4.2σ to 0.3σ. A dark energy equation of state wDE = -1.008 is predicted, testable by DESI. Falsifiable predictions include Euclid S₈ = 0.767 ± 0.003 and standard siren H₀ determinations by 2035.