BT‑PEC Triadic‑Coupling Theory Rigorously Derives Einstein's Unified Field Theory: Complete Unification of Gravity and Electromagnetism from Primordial Topology

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This paper establishes the BT‑PEC triadic‑coupling primordial topology theory, deriving Einstein's unified field theory from two primordial axioms, and puts forward six falsifiable quantitative experimental predictions. This deposit contains both English and Chinese PDF full-text versions. AI‑use statement: Core theoretical derivations, formulas and physical arguments are completed independently by the author. Large‑language‑model tools are used for text polishing and typesetting assistance, and the author takes full academic responsibility for all content. Open‑problems are discussed at the end of manuscript for future follow‑up research.