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The UMA Monad Theory: A Number-Theoretic Philosophy on Emptiness and Infinity | ウマモナド理論: 空と無限に関する数論哲学

Authors: Miyauchi, Hirofumi;

The UMA Monad Theory: A Number-Theoretic Philosophy on Emptiness and Infinity | ウマモナド理論: 空と無限に関する数論哲学

Abstract

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. 本論は、数の起源を「0」や「1」という静的な記号としてではなく、エネルギー保存則が動的に機能する多層的な宇宙モデルとして捉え直すことで、空と無限の存在自体の再定義を予想する。数理的な厳密な証明の前段階としての、数論哲学スケッチである。(物理学の限界点や非可換幾何学の原点に根本的な意味を与える可能性がある。) 本モデルでは、ライプニッツに倣い「モナド(Monad)」を存在の最小単位と設定する。ここでは「0」を特異点と見なさず、次元の「出口」として再解釈することで、加法と乗法を矛盾なく統合する絶対的零点「Universal Mapping Absolute(UMA)モナド」の必要性を論じる。

Keywords

Riemann Zeta Function, Phenomenological Spatial Model, Energy Conservation Law, Concept Formation, Physics, Existence and Absence, Models, Theoretical, Leibniz's Monadology, FOS: Philosophy, ethics and religion, UMA Monad Theory, Philosophy, Ontology of Numbers, Space Perception, FOS: Mathematics, Quantum Theory, Zero Point, Mathematics

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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