M30a The Complex HyperCore

M30a develops the Complex HyperCore by giving imaginary HC rank a precise interpretation: it is a Koenigs phase acting inside an étage, while cross-étage obstruction is measured by a Wronskian bracket. The central formula is exp(iT G_R): u -> lambda_R^(iT) u with generator G_R = (ln lambda_R) u d/du in Koenigs-normalized coordinates. The paper identifies the branch microfibre with Koenigs monodromy: T = T*_R kappa so imaginary rank T and branch address kappa are the same fibre coordinate in different normalizations. Its main structural result is the Wronskian bracket: [G_R, G_S] = (ln lambda_R)(ln lambda_S) W(f_R,f_S) d/dx which measures the failure of imaginary-rank flows at different étages to commute. M30a then interprets the cascade discrepancy as Wronskian holonomy and rewrites the fine-structure relation as: alpha^(-1) = 1 / (L_B^(5/2) kappa_disc) with kappa_disc arising from the SC–TC cross-étage loop. Finally, the Drift Direction Conjecture is reformulated as a single commutator equation: [G_R, V] = 0 inside one Koenigs chart, making the RH route more local and removing the earlier cross-étage transfer bottleneck