Structural Resolution of the Goldbach Conjecture: Deterministic Saturation of the Symmetry Lattice via ADEC-SE-CS

Structural Resolution of the Goldbach Conjecture: Deterministic Saturation of the Symmetry Lattice via ADEC-SE-CS Framework Description: This paper presents a formal resolution of the Goldbach Conjecture, transitioning from a stochastic-probabilistic perspective to a structural-deterministic framework. Leveraging the ADEC (Autopoietic Dynamic Entropic Clock) and Entropic Writing (SE), it is shown that the decomposition of even integers into sums of prime numbers is a geometric necessity dictated by the information architecture of the Symmetry Lattice. The research identifies and formalizes two fundamental system parameters: The Informational Pressure Ratio R(G) → 3: certifying the critical density of the numerical fabric. The Sustainability Coefficient sigma → 2: proving a constant structural surplus that guarantees the saturation of all even diagonals. A key contribution of this work is the identification of the Calm Point Psi_sigma ≈ 5.3 x 10^6, a phase transition threshold beyond which the system enters a regime of absolute stability. In this laminar phase, the "Specular Coprimality" acts as a conservation law, making any "Goldbach Gap" logically impossible. The theoretical framework is supported by extensive numerical simulations (up to 10^8 iterations) and validated through the MANPG (Self-Organizing Matrix for Goldbach Even Numbers) operator, which reduces algebraic decomposition to a hardware-level bitmasking operation.