Leaf-conditioned order in critical Tokunaga trees and strong Horton asymptotics for Kingman's coalescent

Unrefereed analytic candidate: exact-leaf-conditioned order and phase-dependent moments for critical Tokunaga trees with c>1; a positive geometric prefactor for deterministic limiting Kingman branch densities. Supplied review actioned; internal symbolic/rational and numerical stability diagnostics, not formal or independent verification. No joint finite-size/order limit, certified decimals, new c=2 register law or empirical river validation. Original prose/data CC0; code MIT.