Proof of the Strong Goldbach Conjecture Based on Multiplicative Symmetry Projections and Residual Phase Offsets。

Abstract. This paper provides a deterministic and unconditional proof of the StrongGoldbach Conjecture, asserting that every even integer N > 2 is the sum of two primenumbers. We demonstrate that primes are not stochastic entities but rather SymmetryResiduals of multiplicative rectangle projections (x × y). By developing these residualsas phase signals in Fourier space, we employ the Circle Method and Riemann’s ExplicitFormula to prove that the constructive interference (Major Arcs) grows linearly with N,while destructive interference (Minor Arcs/Zeros) is strictly suppressed. Crucially, weestablish stability via Energy Dominance, proving that the structural signal possesses ahigher asymptotic order than any localized noise, thereby bypassing the requirementfor the Generalized Riemann Hypothesis (GRH)