Logical Origin and the Pythagorean Double Cone: An Interpretation of the Eight Fundamental Physical Problems from the Source Within a Unified Binary-Ternary Framework

Abstract: Modern physics has long been confronted with an unbridgeable rift between microscopic quantum laws and macroscopic gravitational structures. Although numerous core physical phenomena have established empirical descriptions and observational fitting systems, there has always been a lack of a bottom-up, self-consistent and unified interpretation of their fundamental origin. Based on the theory of logical origin as the first principle, this paper constructs a dual-track logical system for the operation of the universe: the binary system governs representational evolution, spatial diffusion and operational transmission, while the ternary system controls structural stability, rigid constraint and geometric completeness. On this basis, the Pythagorean Double Cone is defined as the ideal growth form of the universe, the Pythagorean Circular Truncated Cone as the unified structural model, and the built-in Triangular Pyramid Skeleton as the rigid spatial framework, with clear hierarchies and respective functions. This paper also distinguishes the natural deviations between ideal structures and real evolution, and expounds the academic rationality and necessity of conducting source deduction based on ideal structures. Starting from the underlying logic, this paper gradually deduces the logical uniqueness and geometric optimality of the double cone structure, systematically interprets the essential causes of the eight core physical problems, and restores physical phenomena that traditionally require separate explanations to the natural manifestation of underlying logic and geometric structures. Finally, it achieves the complete unification of the theory of logical origin, the four-dimensional cosmic growth theory and the Pythagorean Circular Truncated Cone system, constructing a unified cosmic origin theoretical framework without additional assumptions, internal contradictions and applicable across all scales.