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This thesis investigates the fundamental definitions of zero and infinity, proposing a new mathematical framework.

April 26, 2026Open Access

The UMA Monad Theory: A Number Philosophy of 0 and ∞

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Philosophical exploration of number definitions and operations in a spherical model, suggesting new insights.

This thesis investigates the fundamental definitions of zero and infinity, proposing a new mathematical framework.
Introduced a three-dimensional spherical model for number representation.
Developed 'Five Universe Models' to analyze geometric symmetry and zero's role.
Established 'reflux calculus' to define operations like division by zero.
Redefined zero as a dimensional exit point rather than absence.
Successfully demonstrated arithmetic operations with previously undefined behaviors.
Proposed a model that may unify relativity and quantum theory through a new geometric perspective.

Hirofumi Miyauchi (2026) studied this question.

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