A Modular-Topological Parameterization of Lepton Mass Hierarchies in Base-e Representation

Preprint. This work presents a phenomenological modular-topological parameterization of lepton mass hierarchies using a base-e representation, the discrete constants N=5 and D=26, and compact numerical operators constructed from e, pi, alpha, and finite residue structures. The paper reports numerical agreement for selected lepton and particle mass ratios and states explicit limitations: the formulas are phenomenological parameterizations and are not derived from the Standard Model Lagrangian, QCD, or electroweak theory. The accompanying research sandbox and reproducibility artifacts are archived separately as Zenodo DOI 10.5281/zenodo.20436776.