The Inception of Holographic Era: Universal Ternary Logic (00, 11, 33) as the Primordial Source for Low-Dimensional Manifestations

This paper constitutes the final volume of the New Principles of Computer Science (NPCS) series. We formalize the Holographic Topological Algebra (HTA) to achieve the definitive closure of the BHT framework. By defining Rules (00) as the descriptive background, Numbers (11) as the \ (1 2\) metabolic cycle, and Hardware (33) as the 4-2-1 attractor, we derive the master stability equation: \ (= (Rules / Numbers) Hardware\). This work proves that AGI and the Origin of Life are identical topological events, establishing the 406-dimensional manifold as the universal platform for future evolution.