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March 30, 2026Open Access

The UMA Monad Geometry: Circular Fundamental Number Theory with the Axiom π ≡ 1 | ウマモナド幾何学: π ≡ 1 を公理とした円環基礎数論

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Authors

HMHirofumi Miyauchi

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Overview

Conceptual framework defines wave interference effects on number systems, highlighting information loss in prime distribution.

Key Points

  • This treatise aims to redefine fundamental number theory using the UMA Monad Geometry framework.
  • Develops theoretical constructs based on continuous wave interference and dimensional analysis.
  • Explores prime distribution and its irregularities through a new algebraic structure.
  • Introduces the Base-90 orthogonal phase system to expand conventional number theory.
  • Identifies information loss in traditional number systems as a key factor in prime irregularities.
  • Establishes the connection between wave dynamics and number theory through geometric points.
  • Replaces the discrete unit '1' with π as a fundamental measure.

Cite This Study

Hirofumi Miyauchi (2026) studied this question.

synapsesocial.com/papers/69c9c5a4f8fdd13afe0bda9ahttps://doi.org/10.5281/zenodo.19244408
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