This paper presents a formal, uncompressed observational analysis of the $\anh$ (Anadihilo) Initialization framework, rigorously investigating the geometric core boundaries of over 300 celestial, atomic, and sub-atomic entities. While standard models rely on scale-dependent theories to bridge quantum mechanics and cosmology, this research introduces a unified, discrete informational grid governed by a fundamental resolution limit $(i=0.0001)$. We establish that structural boundaries $(R_{L})$ function not merely as physical perimeters, but as "Systemic Initialization Thresholds" or "Informational Wavelengths" that dictate grid processing. Utilizing this discrete background, we derive the exact spatial anchor of the Proton $(R_{p} \approx 0.8422 \, fm)$ directly from the highly precise CODATA Bohr circumference and introduce a Unified Volumetric Scaling Law $(Z^{1/3})$ governing all nuclear radii. Furthermore, we formalize the hierarchical Recursive Layer Law, culminating in the Master Clock Hardware Saturation Limit of $5.39 \times 10^{15} \, m/s$ $(1.8 \times 10^{7}c)$. Extensive empirical data demonstrates an inverse unitary relationship $(\Phi_{\mu} \times \Phi_{G} = 1.0)$, observing that spatial limits across 32 orders of magnitude are emergent properties of systemic initialization rather than intrinsic physical constants.