Dual-Level Unification Interpretation of Eight Core Physical Problems: From Geometric Representation of the Pythagorean-Based Conical Model (PBCM) to the Origin of Logic

The ultimate goal of physics is to establish a unified first principle underlying natural phenomena and to trace the intrinsic structure of the universe from apparent laws. Contemporary physics is built upon two pillars—general relativity and quantum mechanics—yet their fundamental logics remain incompatible. This paper presents a self-consistent, falsifiable, dual-level framework based on three original theoretical pillars: the Pythagorean-Based Conical Model (PBCM), the four-dimensional conical cosmic growth theory, and the Origin of Logic. The first level uses PBCM geometry to unify the description of physical phenomena; the second level uses the Origin of Logic to reveal the underlying necessity of physical laws. This work systematically interprets eight core physical problems, including gravity, relativity, entropy, wave–particle duality, quantum entanglement, the uncertainty principle, dark matter, and dark energy. The logical foundation is derived from On the Origin of Logic (Volume 1), and the complete four-volume system has been published in full on Zenodo. This framework achieves a unified explanation of major open problems in modern physics and provides a new original path toward the ultimate unification of physics.