BT‑PEC Triadic‑Coupling Primordial Theory: A Self‑Cognitive Unified Framework of the Universe Based on the Genesis Tensor C=S⊗Y⊗O

This paper presents the BT‑PEC Tripartite Coupling Primordial Theory, a unified framework built upon the generative tensor axiom C=S⊗Y⊗O. Here, BT stands for Boundary-Tensor and PEC stands for Projection-Eigen-Cognition. The theory describes the universe as a closed self-referential evolutionary system with self-observation and self-updating properties. The apparent distinction between macroscopic continuity and microscopic discreteness originates from finite-size boundary effects rather than separate fundamental physical laws. Eleven falsifiable predictions are proposed, including finite-size scaling behaviour of cubic tight-binding clusters and spontaneous selection of three spatial dimensions via cost functional minimization. Established theories such as general relativity, quantum mechanics and thermodynamics emerge as low-energy approximate limits of this tensor coupling structure.