Geometric Derivation of the Fine-Structure Constant and Proton-Electron Mass Ratio in a VE55 Lattice Framework
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866901605493768192 |
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| author | Ken, Takada Enumiaze |
| author_facet | Ken, Takada Enumiaze |
| contents | <blockquote> <p><strong>Abstract</strong></p> <p>This paper presents a deterministic lattice-topological framework in which a distinguished topological count N_{topo} = 137 naturally emerges from a parity-decomposed integer-lattice construction denoted VE55. From this exact count and two geometry-derived areas (A_{vac} = 16\sqrt{3} and A_{mat} = 48), we define a self-consistent fixed-point equation for the electromagnetic coupling.</p> <p>Its unique stable solution in the physical branch yields the fine-structure constant \alpha_{geo}^{-1} = 137.0359991744, which is numerically highly consistent with the CODATA reference value 137.0359991770. Furthermore, a companion mass-ratio formula within the same framework produces the proton-electron mass ratio \mu_{geo} = 1836.152497, leading deterministically to a proton mass of m_{p,geo} = 938.271998 MeV.</p> <p><strong>Methodology and Reproducibility</strong></p> <p>To maximize scientific transparency and reproducibility while protecting proprietary implementations, the source code is withheld in this paper. Instead, all geometric definitions, the fixed-point equation, and a minimal algorithmic pseudocode are stated explicitly, allowing for independent reimplementation by any researcher.</p> <p><strong>Claim Boundary</strong></p> <p>The paper maintains a strict claim hierarchy. The fine-structure constant is treated as a deterministic mathematical output of the geometric construction (Layer A/B). Conversely, the additive electromagnetic correction in the mass-ratio formula is explicitly classified as a phenomenological extension (Layer C) at the present stage, establishing a clear boundary between mathematical necessity and physical hypothesis.</p> </blockquote> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19600967 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Geometric Derivation of the Fine-Structure Constant and Proton-Electron Mass Ratio in a VE55 Lattice Framework Ken, Takada Enumiaze Fine-Structure Constant Proton-Electron Mass Ratio Proton Mass Lattice Topology Fixed-Point Equation Mathematical Physics Self-Consistent Formula Algorithmic Protocol <blockquote> <p><strong>Abstract</strong></p> <p>This paper presents a deterministic lattice-topological framework in which a distinguished topological count N_{topo} = 137 naturally emerges from a parity-decomposed integer-lattice construction denoted VE55. From this exact count and two geometry-derived areas (A_{vac} = 16\sqrt{3} and A_{mat} = 48), we define a self-consistent fixed-point equation for the electromagnetic coupling.</p> <p>Its unique stable solution in the physical branch yields the fine-structure constant \alpha_{geo}^{-1} = 137.0359991744, which is numerically highly consistent with the CODATA reference value 137.0359991770. Furthermore, a companion mass-ratio formula within the same framework produces the proton-electron mass ratio \mu_{geo} = 1836.152497, leading deterministically to a proton mass of m_{p,geo} = 938.271998 MeV.</p> <p><strong>Methodology and Reproducibility</strong></p> <p>To maximize scientific transparency and reproducibility while protecting proprietary implementations, the source code is withheld in this paper. Instead, all geometric definitions, the fixed-point equation, and a minimal algorithmic pseudocode are stated explicitly, allowing for independent reimplementation by any researcher.</p> <p><strong>Claim Boundary</strong></p> <p>The paper maintains a strict claim hierarchy. The fine-structure constant is treated as a deterministic mathematical output of the geometric construction (Layer A/B). Conversely, the additive electromagnetic correction in the mass-ratio formula is explicitly classified as a phenomenological extension (Layer C) at the present stage, establishing a clear boundary between mathematical necessity and physical hypothesis.</p> </blockquote> |
| title | Geometric Derivation of the Fine-Structure Constant and Proton-Electron Mass Ratio in a VE55 Lattice Framework |
| topic | Fine-Structure Constant Proton-Electron Mass Ratio Proton Mass Lattice Topology Fixed-Point Equation Mathematical Physics Self-Consistent Formula Algorithmic Protocol |
| url | https://doi.org/10.5281/zenodo.19600967 |