Three-Dimensional Stable Structures and Physical Applications Based on Zero-Point Sequence Statistics

This study presents a minimal theory for constructing three-dimensional stable structures and critical stability based on zero-point sequence statistics. By combining two-dimensional logarithmic interactions with a phase progression axis along the temporal direction, long-range temporal rigidity is achieved. Critical stability is ensured by minimizing the free energy under the Riemann Hypothesis (RH) constraint. The theory can be directly applied to quantum dots, photonic crystals, and strongly correlated electron systems, allowing for both numerical and experimental verification. This document was prepared with the assistance of AI (Large Language Model) to optimize the mathematical expressions, LaTex formatting, and structural organization of the theoretical framework.