PRIME-LOGICAL ONTOLOGY: COMPLETE MATHEMATICAL FORMALIZATION From Empirical Rules to Rigorous Algebraic Theorems Version: 1.0 Date: February 2026 Author: Diego Luis Tentor Status: Mathematical Formalization Document Executive Summary This document provides the complete mathematical bridge between: Prime decompositions of physical constants ALO grammatical rules (R1-R145) Rigorous mathematical theorems from established number theory, algebra, and topology Each ALO rule is shown to be a corollary of known mathematical structures, making the system…