Derivation of the Proton Magnetic Moment from Holographic Vacuum Elasticity: µₚ = Nc exp(−απ²) ≈ 2.7915 μN

We derive the proton magnetic moment μp as a leading-order theorem of the Vacuum Suppression Law (VSL) within the Holographic Vacuum Elasticity (HVE) programme, using the universal form Oobs = Oideal exp(−χ σGW Ω3 fG) with χ = +1, W = 1 (laboratory vacuum), and five explicitly stated assumptions: (A1) holographic reduction to a three-sphere boundary ∂M ≅ S3 with volume Ω3 = 2π2; (A2) Schur–Reynolds confinement fractions fG = 1/(dim R)2 derived via Schur’s lemma; (A3) the gauge-coupling parameter σG = α/2 from the QED one-loop functional determinant; (A4) the proton identified as the B = 1 Skyrmion with ideal moment μidealp = Nc = 3 μN; and (A5) the real photon coupling to the conserved U(1)em current at Q2 = 0 with fG = 1/(dim U(1))2 = 1 — we prove, without any free parameter, that