Four-Dimensional Binary System: Fundamental Theory

Centered on the original four-dimensional structural unit, this paper first establishes the four fundamental operations of four-dimensional structure as underlying groundwork, and then proposes the four-dimensional binary system-a novel foundational computing framework that breaks through the limitations of traditional digital numeral systems. Abandoning the numerically nihilistic digit 0, this theory adopts the indivisible four-dimensional holistic structure as the fundamental computing unit to construct an entirely new structural binary logic. With full authority over original definitions, this paper rigorously defines core concepts including the four-dimensional structural unit, four-dimensional numeral system, and non-zero principle, clarifies the essential differences between this system, traditional binary systems, and three-dimensional computing logic. It further derives the coding rules, operational logic, and inherent advantages of the four-dimensional binary system, and predicts its disruptive applications in computing innovation, physics unification, artificial intelligence, and related fields. This theory is not an improvement of existing computing systems, but a cross-dimensional paradigm revolution that lays fundamental mathematical support for human civilization to advance from digital computation to cosmic structural computation.