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This paper explores a new conceptual framework for understanding the zero point in mathematics, intertwining addition and multiplication.

March 23, 2026Open Access

UMA Monad Theory: A sketch for the zeros of addition and multiplication

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This paper explores a new conceptual framework for understanding the zero point in mathematics, intertwining addition and multiplication.
Reconceptualization of zero as a dynamic model rather than a static symbol
Integration of concepts from Connes' noncommutative geometry
Drawing on Leibniz's notion of Monad as a minimum existence unit
Discussion of the collision between additive and multiplicative worlds at zero
Proposes that zero should be viewed as a dimensional 'exit' rather than an absence
Argues for the existence of a Universal Mapping Absolute Monad to reconcile addition and multiplication
Examines the implications of infinite dimensions affecting the universe's equilibrium at zero

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Speculative sketch explores redefining zero to integrate addition and multiplication, suggesting new implications.

Hirofumi Miyauchi (2026) studied this question.

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