Integrated from ArXe Theory and ALO Author: Diego Luis Tentor Status: Structural derivation — some sections confirmed, some exploratory Date: March 2026 Mode: B (quantitative) for primary structure; A→B (exploratory) for exceptions Abstract We present a structural derivation of Madelung’s rule for atomic orbital filling from ArXe theory and ALO (Arity Logical Ontology). The derivation has three layers of increasing…