This paper derives the inverse fine-structure constant directly from the QUART chamber geometry in Pattern Field Theory. The derivation proceeds in two layers. First, the chamber transport algebra yields a 144-state transport space from 24 phase states and 6 transport directions. Removal of the 7 global symmetry modes produces 137 independent excitation modes. Second, the chamber geometry produces a primary curvature-mismatch term and a second-order structural correction. The resulting relation is exactly α⁻¹ = 137.035999084.
James Johan Sebastian Allen (Sat,) studied this question.