A Structural-Theoretical Derivation of Goldbach's Conjecture

This preprint presents a structural-theoretical derivation of Goldbach’s Conjecture. It builds upon a new model of prime numbers developed in the earlier work “Prime Numbers as Structural Phenomena – A Two-Layer Model” (Zenodo, 2025). The approach introduces two foundational axioms: emergent structural tension (P1) and code independence (P2). Based on these principles, the paper defines a coherent resonance space of structural primes. The additive superposition of these primes fully covers the space of even numbers. As a result, the Goldbach Conjecture is no longer seen as an open question, but as a necessary consequence of the internal structure of the number space. The proof does not rely on classical analytic methods but follows from a deeper structural and resonance-based logic.