On the Non-Perturbative Nature of the 0-Sphere Model and the Fine-Structure Constant: A Supplement on Methodological Scope and Realist Foundations

Description [36 Supplement] This document is a supplementary theoretical and methodological exposition of the 0-Sphere model, focusing on its non-perturbative character, its geometric derivation of internal dynamical quantities, and its explicit delimitation from perturbative quantum electrodynamics, particularly with respect to the fine-structure constant. The present supplement clarifies why certain quantities—most notably the Zitterbewegung velocity scale and the geometric structure underlying the electron anomalous magnetic moment—can be derived within the 0-Sphere framework from first principles, while others, such as the fine-structure constant and electric charge, currently lie outside its formal scope.…