Geometric Tracking of the Dominant Transient Pocket via the Near-Stagnation Contour α ≈ Re(ue^{-u})

Research Note 5 in the "Geometry of the Critical Line" programme. The dominant transient pocket of the Ulam-Galerkin approximation to the Perron-Frobenius operator for the Newton map C_alpha(z) = z - exp(-alpha/z) is empirically observed to behave as a geometrically tracked near-stagnation object. Across the sampled range 0.38