Symbolic Resolution of Goldbach’s Conjecture via the AION Framework

This work establishes a deterministic and constructive proof of the classical Goldbach Conjecture using the Abdeslam Irreducible Order of Naturals (AION). Through symbolic closure starting from unity, we define irreducible symbolic primes and prove that every even integer e≥4 is the sum of two such elements. The approach bypasses analytic methods and relies entirely on symbolic failure of multiplication. We show that the sumset of symbolic irreducibles saturates the even domain, with full empirical verification up to 10^9 , and logical lifting to classical primes via the ASIT theorem. This represents a structural and non-heuristic resolution of Goldbach’s conjecture.