The UMA Monad Theory: A Number-Theoretic Philosophy on Emptiness and Infinity

This paper predicts a redefinition of the existence of emptiness and infinity itself by re-envisioning the origin of numbers not as static symbols such as "0" or "1," but as a multi-layered cosmic model in which the law of conservation of energy functions dynamically. It is a sketch of number-theoretic philosophy as a preliminary stage to rigorous mathematical proof. (This has the potential to provide fundamental meaning to the limits of physics and the origins of noncommutative geometry.) In this model, following Leibniz, the "Monad" is established as the smallest unit of existence. By reinterpreting "0" not as a mere singularity but as an "exit" for dimensions, this paper discusses the necessity of an absolute zero point---the "Universal Mapping Absolute (UMA) Monad"---which integrates addition and multiplication without contradiction.