Dualism is a metaphysical, philosophical concept which refers to two irreducible, heterogeneous principles. This idea is known to appear in a lot of places in the universe, however a rigorous mathematical definition and theory is not yet established in a formal way. In this paper, we develop a novel theory to represent philosophical dualism in a formal mathematical construction with the context of quantum physics, known as the theory of duality. We will use traditional Chinese philosophical concepts in duality as the foundation as it greatly resembles to the mathematical and physical construction for our purpose. This paper will demonstrate how to convolve metaphysical idea into mathematics and physics.
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