The Lamb Shift as Pure Geometry

We derive the hydrogen Lamb shift (2s1/22s_{1/2} 2s1/2--2p1/22p_{1/2} 2p1/2 splitting) from first principles within TVS23 as the exact rational expression ΔE/Ry=8α0−1/237∈Q\Delta E/Ry = 8\alpha^{-1}_0/23^7 \in \mathbb{Q} ΔE/Ry=8α0−1/237∈Q, where every factor has a unique geometric origin in the channel partition V23=VG(4)⊕VEM(19)V_{23} = V_G(4) \oplus V_{\mathrm{EM}}(19) V23=VG(4)⊕VEM(19), determined by the discriminant Δ=−23\Delta = -23 Δ=−23 of x3−x−1=0x^3-x-1=0 x3−x−1=0. Zero free parameters, no renormalization, no real-number fitting. The central result is that the fine structure constant and the Lamb shift are not two independent phenomena connected by QED: they are two projections of the single geometric integer 232+NEM=548=4α0−123^2 + N_{\mathrm{EM}} = 548 = 4\alpha^{-1}_0 232+NEM=548=4α0−1. The discrepancy of 0.108% with the SI-measured value is identified as the unavoidable projection gap Q→R\mathbb{Q}\to\mathbb{R} Q→R, not a theoretical error. The Popper Predictive Score of GR+QED+Standard Model over 18 phenomena is −19-19 −19 (37 free parameters, 18 results); TVS23 scores +18+18 +18 (0 free parameters, 18 results).