Inevitable Generation of Elementary Particle Mass Spectra Based on the Survival Extremum Principle_ホロノミーの再帰的干渉による階層構造の導出
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2026
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| author | Tamura, Fumiyoshi |
| author_facet | Tamura, Fumiyoshi |
| contents | <p>The mass spectrum and generation structure of elementary particles are among the greatest unresolved problems in the Standard Model. In this paper, we employ the MBC (Meaning-Based Constraint) theory to elevate mass from "post-hoc coupling constants" to "structurally inevitable quantities governed by the Survival Extremum Principle." By solving the eigenvalue problem of the holonomy matrix based on the 1:4:15 closure structure, we demonstrate that the mass ratio can be derived as a geometric amplification factor of the SU(4) structure. This theory reproduces existing observational values with an error of less than 1%, clarifying the topological origin of the mass hierarchy.<br>素粒子の質量スペクトルおよび世代構造は、標準模型における最大の未解決問題の一つである。本稿では、MBC(Meaning-Based Constraint)理論を用い、質量を「後付けの結合定数」から「存在寿命の極値原理に従う構造的必然量」へと昇華させる。閉包構造 1:4:15 に基づくホロノミー行列の固有値問題を解くことで、質量比が SU(4) 構造の幾何学的増幅率として導出可能であることを示す。本理論は、既存の観測値を約1%以内の誤差で再現し、質量階層のトポロジカルな起源を明らかにする。</p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20372188 |
| institution | Zenodo |
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| publishDate | 2026 |
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| spellingShingle | Inevitable Generation of Elementary Particle Mass Spectra Based on the Survival Extremum Principle_ホロノミーの再帰的干渉による階層構造の導出 Tamura, Fumiyoshi Meaning-Based Constraint (MBC) Theory Survival Extremum Principle Mass Hierarchy SU(4) Holonomy Elementary Particle Physics Topological Closure Dynamics Structure Formation Standard Model Extension <p>The mass spectrum and generation structure of elementary particles are among the greatest unresolved problems in the Standard Model. In this paper, we employ the MBC (Meaning-Based Constraint) theory to elevate mass from "post-hoc coupling constants" to "structurally inevitable quantities governed by the Survival Extremum Principle." By solving the eigenvalue problem of the holonomy matrix based on the 1:4:15 closure structure, we demonstrate that the mass ratio can be derived as a geometric amplification factor of the SU(4) structure. This theory reproduces existing observational values with an error of less than 1%, clarifying the topological origin of the mass hierarchy.<br>素粒子の質量スペクトルおよび世代構造は、標準模型における最大の未解決問題の一つである。本稿では、MBC(Meaning-Based Constraint)理論を用い、質量を「後付けの結合定数」から「存在寿命の極値原理に従う構造的必然量」へと昇華させる。閉包構造 1:4:15 に基づくホロノミー行列の固有値問題を解くことで、質量比が SU(4) 構造の幾何学的増幅率として導出可能であることを示す。本理論は、既存の観測値を約1%以内の誤差で再現し、質量階層のトポロジカルな起源を明らかにする。</p> <p> </p> |
| title | Inevitable Generation of Elementary Particle Mass Spectra Based on the Survival Extremum Principle_ホロノミーの再帰的干渉による階層構造の導出 |
| topic | Meaning-Based Constraint (MBC) Theory Survival Extremum Principle Mass Hierarchy SU(4) Holonomy Elementary Particle Physics Topological Closure Dynamics Structure Formation Standard Model Extension |
| url | https://doi.org/10.5281/zenodo.20372188 |