Hirofumi Miyauchi

This thesis begins with a fundamental questioning of the definitions of "0" and "∞" in modern mathematics, which deals with addition and multiplication. By extending the conventional number line into a three-dimensional spherical model, we perform an informational expansion of "existence," such as "R = 0, i = ∞." While existing frameworks like the Riemann sphere and Wheel algebra attempt to address division by zero based on the premise of the existence of numbers, this study takes a more foundational position: numbers are materialized only after designing the geometric symmetry of existence itself. Rather than a rigorous mathematical proof, this paper serves as a sketch of spatial design philosophy, anticipating a new geometric perspective toward the unification of general relativity and quantum theory. [Part 1: Spatial Models and the Redefinition of the Zero Point] Based on Leibniz's philosophy, the "Monad" is established as the minimum unit of existence. By introducing "Five Universe Models" that monitor geometric symmetry, "0" is reinterpreted not as a mere absence but as a dimensional "portal" (exit). This section argues for the necessity of the "Universal Mapping Absolute (UMA) Monad," an absolute zero point that integrates addition and multiplication without contradiction. [Part 2: The Spherical Model and the Existence Axis] The conventional number line is extended into a three-dimensional spherical model by adding an "Existence axis" to the real number axes (additive and multiplicative circles), reconceptualizing numbers as three-dimensional coordinates. It is conjectured that the standard number line is a "mapping" extracted from a specific region within this vast information space, and the implications of the lost information are discussed. [Part 3: Procedures of Reflux Calculus] As a specific operational procedure, this section explains the process of converting numerical values into binary and mapping them onto the existence axis. Through this, a conceptual framework for arithmetic operations including division by zero and infinity---which remain undefined in conventional mathematics---is presented along with a simplified computational program. Finally, it is predicted that quantum theory is a discipline dealing with the existence axis, demonstrating the potential for a new geometric perspective toward unification with the theory of relativity. | 本論は、加法と乗法を扱う現代数学における「0」および「∞」の定義への根本的な疑問をはじまりとする。通常の数直線を3次元の球体モデルへと拡張し、「R = 0, i = ∞」といった「存在」の情報拡張を行う。既存のリーマン球面やWheel代数は、数の存在を前提とした上でゼロ除算に対処しようとしたが、本論の立場はそれらよりも手前、存在そのものの幾何学的対称性を設計した後に数を現実化する。本論は、厳密な数学的証明ではなく空間の設計思想のスケッチとして、相対性理論と量子論の統一へ向けた新たな幾何学的視座の提供を予想する。 [第1部:空間モデルと零点の再定義] ライプニッツの思想に基づき、存在の最小単位を「モナド」と設定する。幾何学的な対称性を監視する「5つの宇宙モデル」を導入することで、「0」を単なる欠如ではなく次元の「出口(ポータル)」として再解釈し、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。 [第2部:球体モデルと存在軸] 通常の数直線を、実数軸(加法円・乗法円)に「存在軸」を加えた3次元の球体モデルとして拡張し、数を立体的な座標として捉え直す。通常の数直線は、この広大な情報空間における特定領域のみを切り出した「写像」であると予想し、失われた情報について論じる。 [第3部:還流演算の手順] 具体的な演算手順として、数値を二進数化し存在軸へ写像するプロセスを解説する。これにより、通常の数学では未定義となるゼロ除算や無限大を含む四則演算の構想を、簡易的な演算プログラムと共に示す。最終的に量子論は存在軸を扱っている学問分野であると予想し、相対性理論との統一へ向けた新たな幾何学的視座の可能性を示す。

This research aims to chart a new horizon for human rights theory, centered on the "subject breathing here and now". First, following the historical development of rights such as the right to privacy, this study clarifies the philosophical prerequisites of personality rights. By conceptualizing the "Right of the Soul" within a secular framework of legal philosophy as the equivalent of a mathematical imaginary axis (i), it explores the possibility of representing the invisible "erosion of the soul" as a geometric area. Furthermore, it cites suicide resulting from digital lynching as a case study and addresses the existence of "Information Pollution." This work is a deliberate attempt to construct a concrete and inviolable "bulwark" against the systematic, albeit unconscious, dismantling of personhood prevalent in modern society and legal philosophy. Within the history of philosophy, this study redefines the Platonic and Aristotelian concepts of the "soul" as a secular structure through the lenses of phenomenology and neuroscience, presenting a synthetic theory—without ostensible novelty—that serves as a critical ontological foundation for personality rights. | 本研究は、「いま、ここで呼吸する主体」として尊重されるための、新たな人権論の地平を提示することを目指す。まず、プライバシー権などの発達に倣い、人格権の前提条件を法哲学的に明確化する。そして、世俗側の法哲学の枠組み内における「魂の権利」を、数学的な虚数軸に相当する概念とすることで、目に見えない「魂の削り取られ」を面積として表現する可能性を模索する。また、適用例としてデジタルリンチによる自死を挙げ、情報公害の存在に言及する。現代社会と法哲学において無自覚に、しかし組織的に行われてきたであろう人格の解体に対して、具体的かつ不可侵の「防壁」を築く試みである。なお、哲学史上においては、プラトン・アリストテレス的魂概念を、現象学と神経科学を通じて世俗側の構造として再定義し、人格権の存在論的基礎として提示する、新規性のない統合理論である。

This paper presents "Heliocentrism of Time" as an epistemological supplement to "The Theory of Absolute Breath." It defines the somatic-physiological preconditions of intellectual genesis as "genesis infrastructure" and proposes "genesis consistency" as a meta-normative criterion for epistemic validity. Modern intellect has fallen into a "theoretical unconsciousness," forgetting its bodily foundation and leading to the systemic suffocation of life. By establishing "breath"—the intersection of consciousness (will) and life (unconsciousness)—as the epistemological zero point and vertically synchronizing past, present, and future through "Temporal Alignment," this paper rejects "performative inconsistency" where intellectual enactment undermines its own respiratory bases. Finally, it argues for the legitimacy of "autonomous halt" (Void/空) as a logical limiter against civilizational self-destruction. The core arguments are based on the author's own everyday physical observations since childhood.

This treatise by painter Hirofumi Miyauchi proposes a paradigm shift in the intellectual foundations of modern civilization, moving from "theory" to "breath". In Part I, "Heliocentrism of Art," the author provides a logical analysis of how theory infringes upon somatic knowledge, leading humanity into a state of "collective respiratory failure". In Part II, "Heliocentrism of Breath," breath is defined as the "Scientific Zero Point (0)," presenting a new coordinate system of intelligence to re-establish the right to survival. At end, "Heliocentrism of Time" as an epistemological supplement. By updating Descartes' "I think, therefore I am" to "I live, therefore I am," this work envisions the future of a "Breathing Civilization" that remains unaffected by the progress of Artificial Intelligence. | 画家の宮内博史による本論は、現代文明の知的基盤の「理論」から「呼吸」へのパラダイムシフトを提案する。 第一部「芸術の地動説」では、理論が身体知識を侵害し、人類を「集団的呼吸不全」状態に導いている現状を論理的に分析。 第二部「呼吸の地動説」では、呼吸を「理論的零点」と定義し、生存権を再確立するための知性の新しい座標系を提示。 末尾には認識論的補完「時間の地動説」を記載。 デカルトの「我思う、故に我あり」を「我生きる、故に我あり」にアップデートし、AIの進歩に左右されない「呼吸文明」の未来を構想する。