Geometric Origin of the 0.036 Drift in the α Self-Consistency Equation: Physical Interpretation via 2D Surface Vibration Modes in a 4D Hyperball

This paper provides a physical interpretation of the (π²/2)·α coefficient in the α self-consistency equation α⁻¹ = 137 + (π²/2)·α (BH Paper 7) as the zero-point contribution of 2D surface vibration modes of 137 unit hypercubes packed in a 4D hyperball. Core observations: (1) Although α is dimensionless, its physical contributions appear through area-dimensional quantities (σ ∝ α²). (2) Among 4D space vibrational modes (0D vertex, 1D edge, 2D face, 3D cell, 4D 4-cell), only 2D face modes survive isotropic averaging since area is a scalar quantity. (3) The position phase space measure of 2D faces in the unit 4-ball equals ∫_{B₄(1)} dV = π²/2, providing a physical origin for the coefficient. (4) The W7 self-consistency equation is reinterpreted as a self-consistent contribution of 2D face zero-point vibrations, structurally identical to Wilson plaquette action (BH8 isomorphism). Scope: This paper addresses only the Thomson limit α⁻¹(Q²→0) = 137.036. The high-energy running α⁻¹(M_Z) ≈ 127.95 is handled by standard QED vacuum polarization and is deferred to future work. This is an observational/interpretive paper, not a first-principles proof. The interpretation is built within standard quantum mechanics framework using the uncertainty principle, without requiring additional assumptions (discrete spacetime, complex integer lattices, etc.).