Three-Dimensional Stable Structures and Physical Applications Based on Zero-Point Sequence Statistics: A Minimal Theory

This document presents a minimal theory of three-dimensional stable structures based on zero-point sequence statistics, two-dimensional logarithmic interactions and temporal phase-progression axis. The model uses a logarithmic phase field, Phiₗog, to describe dark-energy-like background response and dark-matter-like local gravitational response in a unified structural framework. A tentative cyclic extension is placed in the appendix only, since the entopy problem remains unresolved. This document was prepared with assistance of AI, mainly ChatGPT 5. 4 Thinking, in order to improve mathematical expression, LaTex formattiing, PDF compilation, and the structural organization of the theoretical framework.