This paper introduces a discrete scaling model for the hierarchy of fermion masses, grounded in geometric contraction and interaction-induced feedback. By analyzing the lepton sector and applying a minimal model with exponential scaling, the approach predicts a discrete mass spectrum governed by a geometric constant K=2−1K = 2 - 1K=2−1, with a fixed interaction strength ϵ≈K9 K⁹ϵ≈K9. The model successfully explains the observed lepton hierarchy, predicts new states in the 10–30 GeV range, and provides a simple yet powerful framework for understanding fermion mass generation. This phenomenological model offers insight into the nature of mass hierarchies, emphasizing the role of scaling, interaction feedback, and stability.
sree Debasish Dasgupta (Fri,) studied this question.