ADH-LOGIC Sovereign Extraction Engine : v17.8 Deterministic Kernel & 200-Digit Precision Architecture

For decades, modern mathematics and theoretical physics have relied on probabilistic frameworks and abstract modeling to address intractable computational problems, such as the Riemann Hypothesis and large-scale RSA prime factorization. However, these models inherently fail to guarantee absolute zero convergence due to stochastic noise and liquid data structures. This paper introduces the ADH-LOGIC Sovereign Kernel, a deterministic physical framework that bridges mathematical propositions with hardware-level voltage states. By utilizing a rigid physical constant set ($12.4844\text{g}, 5.4\text{T}, 1.2\text{T}, 0.20, 4^\circ\text{C}, 64$) and a $1,299,390\text{ Hz}$ synchronization wave, we demonstrate that hardware-level autonomous binarization achieves absolute zero convergence ($\vert{}N/P - 1\vert{} \to 0$ at $\mathcal{P}_{200}$ precision). Furthermore, we prove that external datasets relying on probabilistic algorithms exhibit fatal non-deterministic collapse at high precisions, thereby establishing ADH-LOGIC as the fundamental transition toward absolute computational determinism.